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Afrika Matematika最新文献

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Certain properties and applications of the mixed degenerate Gould-Hopper type polynomials in mathematical physics 混合简并Gould-Hopper型多项式的某些性质及其在数学物理中的应用
IF 0.8
Afrika Matematika Pub Date : 2026-08-03 DOI: 10.1007/s13370-026-01481-3
Shahid Ahmad Wani, Waseem Ahmad Khan, William Ramírez, Ketan Kotecha, Prakash Jadhav
{"title":"Certain properties and applications of the mixed degenerate Gould-Hopper type polynomials in mathematical physics","authors":"Shahid Ahmad Wani,&nbsp;Waseem Ahmad Khan,&nbsp;William Ramírez,&nbsp;Ketan Kotecha,&nbsp;Prakash Jadhav","doi":"10.1007/s13370-026-01481-3","DOIUrl":"10.1007/s13370-026-01481-3","url":null,"abstract":"<div><p>This paper presents a systematic study of the mixed degenerate Gould–Hopper type polynomials, beginning with their generating functions and fundamental operational properties. Summation identities, addition formulas, and a determinant representation are developed to reveal the underlying algebraic structure. A computational investigation of the zero distributions is carried out, supported by numerical illustrations and pattern analysis. The results provide insight into the analytical behavior of the family and its structural richness. Concluding remarks discuss theoretical implications and potential directions including asymptotics, orthogonality, and applications in mathematical physics.\u0000</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"37 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2026-08-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-026-01481-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148750634","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 tuples of commuting operators in the complex Helton class 复Helton类中交换算子的元组
IF 0.8
Afrika Matematika Pub Date : 2026-08-01 DOI: 10.1007/s13370-026-01498-8
Mohamed Ben Jbir, Salah Mecheri, Rchid Rabaoui
{"title":"On tuples of commuting operators in the complex Helton class","authors":"Mohamed Ben Jbir,&nbsp;Salah Mecheri,&nbsp;Rchid Rabaoui","doi":"10.1007/s13370-026-01498-8","DOIUrl":"10.1007/s13370-026-01498-8","url":null,"abstract":"<div><p>In this paper, we consider a generalization of the complex Helton class to the multivariable setting. Inspired by the work [Al Rwaily, A., <i>Higher order quasi complex Helton class of Hilbert space operators</i>, Filomat <b>38</b> (31), 10819–10834 (2024) https:doi.org/10.2298/FIL2431819A], we introduce the complex Helton class of tuples of commuting operators. Given a positive integer <i>m</i>, for a conjugation <i>C</i> on a complex infinite-dimensional Hilbert space <span>(mathcal {H})</span> and for commuting <i>d</i>-tuples <span>(textbf{R}=(R_1,dots ,R_d),,textbf{S}=(S_1,dots ,S_d))</span>, we say that <span>(textbf{S})</span> belongs to the complex <i>Helton</i> class of <span>(textbf{R})</span> with order <i>m</i>, and we denote this by <span>(textbf{S}in Helton_{C,m}(textbf{R}),)</span> if </p><div><div><span>$$begin{aligned} sum limits _{k=0}^{m}(-1)^{m-k} ;{matopwithdelims ()k};Big (sum limits _{i=1}^{d}R_iBig )^{k}CBig (sum limits _{i=1}^{d}S_iBig )^{m-k}C=0. end{aligned}$$</span></div></div><p>In the present work, some basic structural properties of such a class of a commuting tuples are established, especially the single valued extension property (<i>SVEP</i>) property and Bishop’s property <span>((beta ))</span>. Then, we prove that the complex Helton class is invariant under nilpotent perturbation. Finally, spectral properties are shown.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"37 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148628674","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
Correction: Equilibrium in incomplete markets revisited 修正：重新审视不完全市场的均衡
IF 0.8
Afrika Matematika Pub Date : 2026-07-31 DOI: 10.1007/s13370-026-01482-2
Vasileia Tsachouridou-Papadatou, Christos Kountzakis
{"title":"Correction: Equilibrium in incomplete markets revisited","authors":"Vasileia Tsachouridou-Papadatou,&nbsp;Christos Kountzakis","doi":"10.1007/s13370-026-01482-2","DOIUrl":"10.1007/s13370-026-01482-2","url":null,"abstract":"","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"37 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2026-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148628662","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
Mathematical modelling of drug elimination by drug metabolising enzymes with periodic intravenous injections 周期性静脉注射药物代谢酶消除药物的数学模型
IF 0.8
Afrika Matematika Pub Date : 2026-07-30 DOI: 10.1007/s13370-026-01476-0
Bradley J. Mathe, Mlamuli Dhlamini, Kukhanya Zondo, Hiranmoy Mondal, Noble J. Malunguza, Mbakisi Dube
{"title":"Mathematical modelling of drug elimination by drug metabolising enzymes with periodic intravenous injections","authors":"Bradley J. Mathe,&nbsp;Mlamuli Dhlamini,&nbsp;Kukhanya Zondo,&nbsp;Hiranmoy Mondal,&nbsp;Noble J. Malunguza,&nbsp;Mbakisi Dube","doi":"10.1007/s13370-026-01476-0","DOIUrl":"10.1007/s13370-026-01476-0","url":null,"abstract":"<div><p>Drug toxicity and therapeutic effects are two concepts in pharmacokinetics that coexist in conflict. Too much or an insufficient amount of the drug in the body is not ideal. This brings about the need to optimise these two contrasting but important factors. As such, we developed a system of three ordinary differential equations to describe the dynamics of drug concentration, taking into account the effect of drug-metabolising enzymes and periodic intravenous injections, using the Dirac Delta function as the source term. We noted that frequent administration of drugs helps achieve the minimum level of drug efficacy. The model with a single dose has (0, 0, 0) as the only stable equilibrium point. However, when periodic injections are administered, this equilibrium is destroyed, and a new stable non-zero equilibrium point emerges.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"37 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2026-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614767","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
Correction: Radii for sections of functions convex in one direction 修正：函数在一个方向上凸的截面的半径
IF 0.8
Afrika Matematika Pub Date : 2026-07-29 DOI: 10.1007/s13370-026-01478-y
Prachi Prajna Dash, Jugal Kishore Prajapat, Naveen Kumari
{"title":"Correction: Radii for sections of functions convex in one direction","authors":"Prachi Prajna Dash,&nbsp;Jugal Kishore Prajapat,&nbsp;Naveen Kumari","doi":"10.1007/s13370-026-01478-y","DOIUrl":"10.1007/s13370-026-01478-y","url":null,"abstract":"","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"37 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2026-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148613339","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
Estimates of rough parametric Marcinkiewicz integrals and their commutator on variable Morrey type spaces 变量Morrey型空间上粗糙参数Marcinkiewicz积分及其换子的估计
IF 0.8
Afrika Matematika Pub Date : 2026-07-27 DOI: 10.1007/s13370-026-01490-2
Omer Khalil, Tao Shuangping, Bachir Mahamat, Afif Abdalmonem, Khalid Ahmed Abbakar
{"title":"Estimates of rough parametric Marcinkiewicz integrals and their commutator on variable Morrey type spaces","authors":"Omer Khalil,&nbsp;Tao Shuangping,&nbsp;Bachir Mahamat,&nbsp;Afif Abdalmonem,&nbsp;Khalid Ahmed Abbakar","doi":"10.1007/s13370-026-01490-2","DOIUrl":"10.1007/s13370-026-01490-2","url":null,"abstract":"<div><p>This paper aims to examine the boundedness of Parametric Marcinkiewicz integrals with rough kernels in variable Morrey type spaces <span>(mathcal {M}^v_{r(cdot )})</span>. Additionally, we will demonstrate that the commutator of these integrals is also bounded in variable Morrey type spaces <span>(mathcal {M}^v_{r(cdot )})</span>.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"37 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2026-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614129","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
On monotone alternating inverse monoids 关于单调交变逆幺群
IF 0.8
Afrika Matematika Pub Date : 2026-07-27 DOI: 10.1007/s13370-026-01497-9
Vítor Hugo Fernandes
{"title":"On monotone alternating inverse monoids","authors":"Vítor Hugo Fernandes","doi":"10.1007/s13370-026-01497-9","DOIUrl":"10.1007/s13370-026-01497-9","url":null,"abstract":"<div><p>In this paper, we consider the inverse submonoids <span>(mathcal{A}mathcal{M}_n)</span> of monotone transformations and <span>(mathcal{A}mathcal{O}_n)</span> of order-preserving transformations of the alternating inverse monoid <span>(mathcal{A}mathcal{I}_n)</span> on a chain with <i>n</i> elements. We compute the cardinalities, describe the Green’s structures and the congruences, and calculate the ranks of these two submonoids of <span>(mathcal{A}mathcal{I}_n)</span>.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"37 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2026-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614206","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
Hilbert ideal convergent Fibonacci difference sequence spaces in intuitionistic fuzzy normed spaces 直觉模糊赋范空间中的希尔伯特理想收敛斐波那契差分序列空间
IF 0.8
Afrika Matematika Pub Date : 2026-07-25 DOI: 10.1007/s13370-026-01494-y
Abdullah A. H. Makharesh, Vakeel A. Khan, Mohammad Arshad, Ayhan Esi
{"title":"Hilbert ideal convergent Fibonacci difference sequence spaces in intuitionistic fuzzy normed spaces","authors":"Abdullah A. H. Makharesh,&nbsp;Vakeel A. Khan,&nbsp;Mohammad Arshad,&nbsp;Ayhan Esi","doi":"10.1007/s13370-026-01494-y","DOIUrl":"10.1007/s13370-026-01494-y","url":null,"abstract":"<div><p>In this paper, we introduce and investigate new classes of Hilbert ideal convergent Fibonacci difference sequence spaces within the framework of intuitionistic fuzzy normed spaces. By combining the Hilbert matrix with Fibonacci difference operators, the concept of Hilbert <i>I</i>-convergence is extended to the intuitionistic fuzzy setting. Several fundamental algebraic and topological properties of the proposed spaces are established, including linearity, first countability, and the Hausdorff property. Moreover, it is shown that Hilbert ideal convergence is equivalent to Hilbert ideal Cauchy convergence with respect to intuitionistic fuzzy norms. The results obtained in this work generalize a number of existing convergence concepts and provide a unified framework for further studies involving matrix transformations and fuzzy sequence spaces.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"37 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2026-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614490","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
On extending identity map between two free differential graded algebras 两个自由微分梯度代数之间的扩展恒等映射
IF 0.8
Afrika Matematika Pub Date : 2026-07-24 DOI: 10.1007/s13370-026-01495-x
Mahmoud Benkhalifa
{"title":"On extending identity map between two free differential graded algebras","authors":"Mahmoud Benkhalifa","doi":"10.1007/s13370-026-01495-x","DOIUrl":"10.1007/s13370-026-01495-x","url":null,"abstract":"<div><p>Let <span>( R )</span> be a principal ideal domain, and let <span>(( {mathbb {T}}(V_{n+1}oplus V_{le n}),partial ))</span> and <span>(({mathbb {T}}(W_{n+1}oplus V_{le n}),delta ))</span> be two free differential graded <span>( R )</span>-algebras such that <span>( partial = delta )</span> on <span>( v in V_{le n} )</span>. This paper is dedicated to exploring the problem of constructing a DGA-map <span>(alpha :( {mathbb {T}}(V_{n+1}oplus V_{le n}),partial )rightarrow ({mathbb {T}}(W_{n+1}oplus V_{le n}),delta ))</span> such that the chain map <span>( tilde{alpha }_{*})</span>, induced by <span>(alpha )</span> on the indecomposables, satisfies <span>( tilde{alpha } = id )</span> on <span>(V_{le n})</span>. Our focus is to provide an algebraic condition under which <span>(( {mathbb {T}}(V_{n+1}oplus V_{le n}),partial ))</span> and <span>(({mathbb {T}}(W_{n+1}oplus V_{le n}),delta ))</span> become quasi-isomorphic.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"37 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148613665","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
Pseudo-almost Periodic and Stepanov Solutions of Discrete Evolution Equations with Applications 离散演化方程的拟概周期解和Stepanov解及其应用
IF 0.8
Afrika Matematika Pub Date : 2026-07-23 DOI: 10.1007/s13370-026-01496-w
Dhaou Lassoued
{"title":"Pseudo-almost Periodic and Stepanov Solutions of Discrete Evolution Equations with Applications","authors":"Dhaou Lassoued","doi":"10.1007/s13370-026-01496-w","DOIUrl":"10.1007/s13370-026-01496-w","url":null,"abstract":"<div><p>We investigate pseudo-almost periodic solutions for a class of nonautonomous difference equations in Banach spaces. Using discrete evolution family techniques combined with convolution operators, we establish existence and uniqueness results for linear systems driven by Stepanov pseudo-almost periodic forcing terms. These results are further extended to nonlinear equations under suitable Lipschitz conditions, ensuring the existence of unique pseudo-almost periodic mild solutions. As applications, we examine both a discrete heat equation with time-dependent coefficients and a discrete parabolic integrodifference equation with memory, demonstrating that pseudo-almost periodicity and Stepanov pseudo-almost periodicity are preserved in the long-term dynamics of these discrete systems.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"37 3","pages":""},"PeriodicalIF":0.8,"publicationDate":"2026-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148613825","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
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