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Multivariate q-Hermite-based Appell polynomials: structural properties and applications 多元q-Hermite-based Appell多项式：结构性质及应用
IF 0.9
Afrika Matematika Pub Date : 2025-05-04 DOI: 10.1007/s13370-025-01311-y
Shahid Ahmad Wani, Mumtaz Riyasat, Ramírez William, Waseem Ahmad Khan
{"title":"Multivariate q-Hermite-based Appell polynomials: structural properties and applications","authors":"Shahid Ahmad Wani,&nbsp;Mumtaz Riyasat,&nbsp;Ramírez William,&nbsp;Waseem Ahmad Khan","doi":"10.1007/s13370-025-01311-y","DOIUrl":"10.1007/s13370-025-01311-y","url":null,"abstract":"<div><p>In the domain of specialized mathematical functions, the rising interest in <i>q</i>-calculus continues to attract researchers, offering powerful tools for modeling in fields like quantum computing, non-commutative probability, combinatorics, functional analysis, mathematical physics, and approximation theory. This study introduces the framework of multivariate <i>q</i>-Hermite-based Appell polynomials, employing various <i>q</i>-calculus techniques. Key properties and fresh insights into these polynomials are examined, such as their generating functions, series representations, recurrence relations, <i>q</i>-differential identities, and operational mechanisms. Additionally, it is shown that these polynomials maintain a quasi-monomial structure within the <i>q</i>-calculus context.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143902792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Coefficient bounds and Fekete-Szegő problem for some classes of analytic functions defined by using a fractional operator 用分数算子定义的几类解析函数的系数界和fekete - szegov问题
IF 0.9
Afrika Matematika Pub Date : 2025-05-02 DOI: 10.1007/s13370-025-01313-w
Eszter Gavriş
{"title":"Coefficient bounds and Fekete-Szegő problem for some classes of analytic functions defined by using a fractional operator","authors":"Eszter Gavriş","doi":"10.1007/s13370-025-01313-w","DOIUrl":"10.1007/s13370-025-01313-w","url":null,"abstract":"<div><p>In this paper coefficient bounds and Fekete-Szegő inequalities are obtained for the classes of analytic functions <span>({{mathcal {S}}}_lambda ^{nu , n}(eta , [phi ]), {{mathcal {C}}}_lambda ^{nu , n}(eta , [phi ], [psi ]))</span>, <span>({{mathcal {R}}}_lambda ^{nu , n}(eta , gamma , [phi ], [psi ]))</span> introduced in a recent work. Some of the main results generalize previously known results.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01313-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143896696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Metrizability and dynamics of Weil bundles Weil束的可度量性和动力学
IF 0.9
Afrika Matematika Pub Date : 2025-04-29 DOI: 10.1007/s13370-025-01309-6
Stephane Tchuiaga, Moussa Koivogui, Fidèle Balibuno
{"title":"Metrizability and dynamics of Weil bundles","authors":"Stephane Tchuiaga,&nbsp;Moussa Koivogui,&nbsp;Fidèle Balibuno","doi":"10.1007/s13370-025-01309-6","DOIUrl":"10.1007/s13370-025-01309-6","url":null,"abstract":"<div><p>This paper bridges synthetic and classical differential geometry by investigating the metrizability and dynamics of Weil bundles. For a smooth, compact manifold <span>(M)</span> and a Weil algebra <span>(textbf{A})</span>, we prove that the manifold <span>(M^textbf{A})</span> of <span>(textbf{A})</span>-points admits a canonical, weighted metric <span>(mathfrak {d}_w)</span> that encodes both base-manifold geometry and infinitesimal deformations. Our approach relies on constructions and methods of local and global analysis. Key results include: (1). Metrization: <span>(mathfrak {d}_w)</span> induces a complete metric topology on <span>(M^textbf{A})</span>. (2). Path Lifting: Curves lift from <span>(M)</span> to <span>(M^textbf{A})</span> while preserving topological invariants. (3). Dynamics: Fixed-point theorems for diffeomorphisms on <span>(M^textbf{A})</span> connected to stability analysis. (4). Topological Equivalence: <span>(H^*(M^textbf{A}) cong H^*(M))</span> and <span>(pi _*(M^textbf{A}) cong pi _*(M))</span>.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143883588","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
New category of algebraic fuzzy systems with their applications of translations and bipolar fuzzy RHO-ideals semigroups 代数模糊系统的新范畴及其平移和双极模糊rho理想半群的应用
IF 0.9
Afrika Matematika Pub Date : 2025-04-29 DOI: 10.1007/s13370-025-01316-7
Shuker Mahmood Khalil, Ahmed Naji Hassan
{"title":"New category of algebraic fuzzy systems with their applications of translations and bipolar fuzzy RHO-ideals semigroups","authors":"Shuker Mahmood Khalil,&nbsp;Ahmed Naji Hassan","doi":"10.1007/s13370-025-01316-7","DOIUrl":"10.1007/s13370-025-01316-7","url":null,"abstract":"<div><p>In algebraic semigroups when we deal with classical sets it is not necessary every <span>(rho)</span>-ideal is <span>(overline{rho })</span>-ideal. Therefore, in this work it is proved that possible for their extension in non-classical sets like fuzzy sets and bipolar fuzzy sets with their new forms in algebraic semigroups. Moreover, a new structure of bipolar fuzzy ideals is shown. The new connotations like <span>(rho)</span>-semigroup, <span>(rho)</span>-subsemigroup, <span>(rho)</span>-ideal semigroup, <span>(overline{rho })</span>-ideal semigroup, <span>(rho)</span>-semigroup homomorphism are investigated. Also, some connotations of fuzzy logic, like fuzzy <span>(rho)</span>-subsemigroup, fuzzy <span>(rho)</span>-ideal semigroup, fuzzy <span>(overline{rho })</span>-ideal semigroup, bipolar fuzzy <span>(rho)</span>-subsemigroup, bipolar fuzzy <span>(rho)</span>-ideal semigroup and bipolar fuzzy <span>(overline{rho })</span>-ideal semigroup are found. Furthermore, some basic characterizations of our connotations are studied and discussed. In this paper, the <span>(rho)</span>-semigroup homomorphism image, translations and the product characteristics of bipolar fuzzy <span>(rho)</span>/<span>(overline{rho })</span>-ideals semigroups are studied their applications.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143883581","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Information system of cubic dihedral in soft rough setting based on cubic dihedral groups 基于立方二面体群的软粗糙设置立方二面体信息系统
IF 0.9
Afrika Matematika Pub Date : 2025-04-27 DOI: 10.1007/s13370-025-01312-x
H. Fakher, S. Khalil
{"title":"Information system of cubic dihedral in soft rough setting based on cubic dihedral groups","authors":"H. Fakher,&nbsp;S. Khalil","doi":"10.1007/s13370-025-01312-x","DOIUrl":"10.1007/s13370-025-01312-x","url":null,"abstract":"<div><p>A combination of a rough set and a soft set is a powerful tool for dealing with uncertainty. The goal of this work is to study the idea of roughness in comparison to soft sets over the cubic dihedral group. On another side, by using the normal soft cubic dihedral groups that correspond to each parameter are inserted. Some fundamental results about these classes over groups are addressed using examples. Furthermore, using group homomorphism based on the soft (perimage/ image) of a normal cubic dihedral group in a soft setting, this work demonstrates a relationship between our classes.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143879623","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stabilization of Lord Shulman Porous thermoelastic system from second spectrum viewpoint 从第二光谱观点看Lord Shulman多孔热弹性体系的稳定性
IF 0.9
Afrika Matematika Pub Date : 2025-04-18 DOI: 10.1007/s13370-025-01310-z
Hamza Zougheib, Toufic El Arwadi, Hamed Abderrahmane Bouraoui, Abdelhak Djebabla
{"title":"Stabilization of Lord Shulman Porous thermoelastic system from second spectrum viewpoint","authors":"Hamza Zougheib,&nbsp;Toufic El Arwadi,&nbsp;Hamed Abderrahmane Bouraoui,&nbsp;Abdelhak Djebabla","doi":"10.1007/s13370-025-01310-z","DOIUrl":"10.1007/s13370-025-01310-z","url":null,"abstract":"<div><p>The target of this work is to analyze a one-dimensional thermoelastic porous system under the action of Lord–Shulman heat conduction theory. From a second spectrum perspective, the well-posedness is studied using Faedo–Galerkin approximation, then the exponential stability is established without any assumptions on parameters.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143845617","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Primary, superharmonic and subharmonic resonances control of an oscillatory cantilever beam excited transversely at its free end 悬臂梁自由端横向激发的一次谐振、超谐波谐振和次谐波谐振控制
IF 0.9
Afrika Matematika Pub Date : 2025-04-18 DOI: 10.1007/s13370-025-01305-w
Eman Desoky, Magdy Kamel, Ali Kandil
{"title":"Primary, superharmonic and subharmonic resonances control of an oscillatory cantilever beam excited transversely at its free end","authors":"Eman Desoky,&nbsp;Magdy Kamel,&nbsp;Ali Kandil","doi":"10.1007/s13370-025-01305-w","DOIUrl":"10.1007/s13370-025-01305-w","url":null,"abstract":"<div><p>The nonlinear vibrations of a cantilever beam model and the dynamic analysis of several resonances (primary and secondary) controlled by the proportional-derivative (PD) control are studied and discussed. The multiple time-scales method is applied to solve the dynamical system of the cantilever beam where the response curves before and after control are obtained. Through these curves, the stability of the beam’s oscillatory behavior is tested under the effect of different physical parameters. The beam suffers from high vibration amplitudes in each resonance case, especially in the superharmonic and subharmonic resonance cases. Besides the nontrivial amplitude of oscillation, a trivial one appears in some secondary resonance cases. Tuning the control gains can lead to acceptable vibration mitigation levels besides approaching the trivial amplitude in some resonance cases. Accordingly, the analytical and numerical results are compared before and after control to validate the control law.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01305-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143845640","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On an open question concerning the domination problem in the class of almost BS-compact operators 关于几乎bs -紧算子类中的支配问题的一个开放问题
IF 0.9
Afrika Matematika Pub Date : 2025-04-18 DOI: 10.1007/s13370-025-01300-1
Mohamed Hajji
{"title":"On an open question concerning the domination problem in the class of almost BS-compact operators","authors":"Mohamed Hajji","doi":"10.1007/s13370-025-01300-1","DOIUrl":"10.1007/s13370-025-01300-1","url":null,"abstract":"<div><p>The goal of this note is to give a positive answer to the problem 4.11 in [<i>Almost BS-compact operators and domination problem, Mediterr. J. Math.</i> 18, 258 (2021)]. More precisely, we proved that if a positive operator <i>R</i> on a Banach lattice <i>E</i> is dominated by an almost <i>BS</i>-compact operator <span>(T: E rightarrow E)</span>, then <span>(R^2)</span> is almost <i>BS</i>-compact.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143845641","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Inductive algebras for the motion group of the plane 平面运动群的归纳代数
IF 0.9
Afrika Matematika Pub Date : 2025-04-18 DOI: 10.1007/s13370-025-01308-7
Promod Sharma, M. K. Vemuri
{"title":"Inductive algebras for the motion group of the plane","authors":"Promod Sharma,&nbsp;M. K. Vemuri","doi":"10.1007/s13370-025-01308-7","DOIUrl":"10.1007/s13370-025-01308-7","url":null,"abstract":"<div><p>Each irreducible representation of the motion group of the plane has a unique maximal inductive algebra, and it is self-adjoint.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143845642","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Power-Cardioid candidate for wind direction modelling motivated by two South African case studies 一个Power-Cardioid候选的风向建模，由两个南非的案例研究激发
IF 0.9
Afrika Matematika Pub Date : 2025-04-18 DOI: 10.1007/s13370-025-01306-9
Delene van Wyk-de Ridder, Najmeh Nakhaei Rad, Mohammad Arashi, Johan Ferreira, Andriette Bekker
{"title":"A Power-Cardioid candidate for wind direction modelling motivated by two South African case studies","authors":"Delene van Wyk-de Ridder,&nbsp;Najmeh Nakhaei Rad,&nbsp;Mohammad Arashi,&nbsp;Johan Ferreira,&nbsp;Andriette Bekker","doi":"10.1007/s13370-025-01306-9","DOIUrl":"10.1007/s13370-025-01306-9","url":null,"abstract":"<div><p>Wind energy claims a positive image globally; therefore, accurate modelling of wind direction at generation sites accurately can enhance the potential of this green energy source. The uncertain nature of wind direction can be modelled through probability distributions; in this paper, we propose a flexible yet simple distribution, namely the Power-Cardioid distribution, as an alternative and implementable candidate to model wind direction. After discussing some characteristics, the performance of the Power-Cardioid distribution is evaluated via a simulation study and applied to datasets of two wind farms in South Africa. The numerical results demonstrate that this distribution is a promising and exciting new candidate compared to well-known models within circular statistics.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01306-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143845647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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