Afrika Matematika最新文献

{"title":"A study of two new integral representations for Gauss’s hypergeometric function with applications","authors":"Wathek Chammam,&nbsp;Arjun K. Rathie,&nbsp;Mongia Khlifi","doi":"10.1007/s13370-025-01239-3","DOIUrl":"10.1007/s13370-025-01239-3","url":null,"abstract":"<div><p>In this paper, first we present two new integral representations of the Gauss hypergeometric function in the form of double integrals obtained recently by us Chammam et al. (Bull Belgian Math Soc 31(3), 336–340, 2024). Two specific cases of our representations allow for an alternative proofs of the well-known Gauss summation theorem and Watson summation theorem. Additionally, as an application, we introduce a new class of double integrals and provide interesting integral representations for Catalan–Qi numbers and Fuss–Catalan–Qi numbers.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995478","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}

{"title":"Homomorphisms of OBCI-algebras","authors":"Eunsuk Yang,&nbsp;Eun Hwan Roh,&nbsp;Young Bae Jun","doi":"10.1007/s13370-025-01249-1","DOIUrl":"10.1007/s13370-025-01249-1","url":null,"abstract":"<div><p>Recently Yang–Roh–Jun introduced the notion of OBCI-algebras as a generalization of BCI-algebras. Here we introduce homomorphisms and kernels of OBCI-algebras and investigate related properties. More exactly, we first define the homomorphism and kernel of OBCI-algebras. We then investigate properties related to (ordered) subalgebras, (ordered) filters and direct products of OBCI-algebras.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995477","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}

{"title":"Numerical method for solving large-scale differential differential T-Sylvester and nonsymmetric T-Riccati matrix equations","authors":"Lakhlifa Sadek,&nbsp;Hamad Talibi Alaoui","doi":"10.1007/s13370-025-01260-6","DOIUrl":"10.1007/s13370-025-01260-6","url":null,"abstract":"<div><p>In the paper, we consider differential nonsymmetric T-Riccati equations. So far, it presents an unexplored problem in numerical analysis, theoretical results, and computational methods, which are lacking in the literature. The method we consider is based on an extended block Krylov subspace and Rosenbrock method. The implementation of the algorithm requires only the solution of small-scale differential matrix equations in each time step. Some theoretical results are presented such as an accurate expression of the remaining criteria. The main advantage of the proposed method is that by using this method differential nonsymmetric T-Riccati equation reduces to two T-Sylvester matrix equations. Then report some numerical experiments to show the effectiveness of the proposed method for large-scale problems.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995479","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}

{"title":"On deformation cohomology of compatible Hom-associative algebras","authors":"Taoufik Chtioui,&nbsp;Ripan Saha","doi":"10.1007/s13370-025-01241-9","DOIUrl":"10.1007/s13370-025-01241-9","url":null,"abstract":"<div><p>In this paper, we consider compatible Hom-associative algebras as a twisted version of compatible associative algebras. Compatible Hom-associative algebras are characterized as Maurer–Cartan elements in a suitable bidifferential graded Lie algebra. We also define a cohomology theory for compatible Hom-associative algebras generalizing the classical case. As applications of cohomology, we study abelian extensions and deformations of compatible Hom-associative algebras.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995480","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}

{"title":"Reaction–diffusion systems associated with replicator dynamics for a class of population games and turing instability conditions","authors":"Manoj Kumar,&nbsp;A. J. Shaiju","doi":"10.1007/s13370-025-01243-7","DOIUrl":"10.1007/s13370-025-01243-7","url":null,"abstract":"<div><p>Evolutionary game theory offers an interesting avenue of exploration for populations that are subdivided into smaller groups based on shared traits. Despite being self-contained, interactions between individuals within each group are crucial. These interactions lead to a game with a block-diagonal payoff matrix having blocks of order two or three. A constant negative payoff is assigned to each player, while the background fitness function is inversely proportional to the density of players in the given territory. Through the lens of reaction–diffusion systems, we examine the circumstances necessary for diffusion-driven instability or Turing instability. We derive a set of necessary conditions for Turing instability around the interior equilibrium state. These results reveal that Turing instability occurs when some diagonal elements are positive, or diagonal cofactors of 3-order blocks are negative in the payoff matrix of the game. In summary, this article explores the dynamics of group interactions in population games and identifies key conditions that lead to instability.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995337","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}

{"title":"Toeplitz operators associated with the directional short-time Fourier transform and applications","authors":"Saifallah Ghobber,&nbsp;Hatem Mejjaoli,&nbsp;Slim Omri","doi":"10.1007/s13370-025-01271-3","DOIUrl":"10.1007/s13370-025-01271-3","url":null,"abstract":"<div><p>In the present article, we prove a Shapiro uncertainty principle for the directional short-time Fourier transform. Next, we introduce the notion of Toeplitz operators associated with the directional short-time Fourier transform. Particularly, we study the trace class properties of such operators and prove that they belong to the Schatten–von Neumann class. Next, we investigate the boundedness and compactness of these Toeplitz operators in the <span>(L^{p})</span>-spaces. Finally, we introduce and study the generalized spectrogram associated with these Toeplitz operators.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995336","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}

{"title":"Gradient Ricci-Bourguignon solitons and applications","authors":"Ram Shankar Chaudhary,&nbsp;Buddhadev Pal","doi":"10.1007/s13370-025-01242-8","DOIUrl":"10.1007/s13370-025-01242-8","url":null,"abstract":"<div><p>In this article, we discuss the geometry of gradient Ricci-Bourguignon solitons (GRB) and then we characterize the general relativistic space-time with Ricci-Bourguignon (RB) and GRB solitons. First, we obtain the expression for the scalar curvature of a compact GRB soliton. Then, we prove that the gradient of the potential function of GRB soliton is bounded if its scalar curvature satisfies a boundedness condition. Then the Riemannian curvature of a 4-dimensional GRB soliton and its derivative are investigated whenever the Weyl tensor is harmonic. It is proven that if the potential vector field is torse-forming, then a compact RB soliton becomes perfect fluid space-time. We also discuss the bounds of the first eigenvalue of Laplacian. A volume formula for GRB soliton is obtained. Further, we study the application of conformal vector field on a RB soliton and obtain the expression for the Ricci curvature. Next, we find when RB soliton is expanding, shrinking and steady, if relativistic perfect fluid space-time admits a RB soliton with conformal vector field. We also construct a non-trivial example of GRB soliton equipped with a conformal potential vector field.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995205","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}

{"title":"A fixed point theorem in gauge spaces and applications to Ulam-Hyers-Rassias-stability of delay differential equations","authors":"Chaimaa Benzarouala,&nbsp;Lahbib Oubbi","doi":"10.1007/s13370-025-01256-2","DOIUrl":"10.1007/s13370-025-01256-2","url":null,"abstract":"<div><p>First, we prove a new alternative fixed point theorem in generalized gauge (or generalized uniformizable) spaces. This is a generalization of a famous result of Diaz-Margoli. Next, using this theorem, we show the stability of a delay differential equation where the unknown mapping takes its values in a locally convex space (in particular into a Banach space). Examples are given to support our results. We also point out some gaps in the literature and fix them.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995338","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}

{"title":"Action of generalized derivations with central values in prime rings","authors":"Basudeb Dhara,&nbsp;Sukhendu Kar,&nbsp;Kalyan Singh","doi":"10.1007/s13370-025-01240-w","DOIUrl":"10.1007/s13370-025-01240-w","url":null,"abstract":"<div><p>In this paper we are going to show that derivations satisfying some identity carry a certain form. To prove this, we assume <span>(mathcal {R})</span> is a prime ring with <span>(char(mathcal {R})ne 2)</span>, <span>(mathcal {I})</span> is a nonzero ideal of <span>(mathcal {R})</span>, <span>(mathcal {U})</span> is the Utumi quotient ring of <span>(mathcal {R})</span> with extended centroid <span>(mathcal {C}=mathcal {Z}(mathcal {U}))</span> and <span>(f(x_1,ldots ,x_n))</span> is any noncentral valued multilinear polynomial over <span>(mathcal {C})</span>. Suppose that <span>(mathcal {F})</span> and <span>(mathcal {G})</span> are two generalized derivations and <i>d</i> is any non-zero derivation of <span>(mathcal {R})</span>. If </p><div><div><span>$$begin{aligned}mathcal {F}^2(f(zeta ))d(f(zeta ))-mathcal {G}(f(zeta )^2) in mathcal {C}end{aligned}$$</span></div></div><p>for all <span>(zeta =(zeta _1,ldots ,zeta _n)in mathcal {I}^n)</span>, then <span>(mathcal {F}(x)=ax)</span> or <span>(mathcal {F}(x)=xa)</span> for any <span>(xin mathcal {R})</span>, for some <span>(ain mathcal {U})</span> along with <span>(a^2 =0)</span> and following one conclusion holds: </p><ol>\u0000 <li>\u0000 <span>(1)</span>\u0000 \u0000 <p><span>(mathcal {G}=0)</span>;</p>\u0000 \u0000 </li>\u0000 <li>\u0000 <span>(2)</span>\u0000 \u0000 <p>there exists <span>(lambda in mathcal {C})</span> and a derivation <i>h</i> of <span>(mathcal {R})</span> such that <span>(mathcal {G}(x)= lambda x+h(x))</span> for all <span>(xin mathcal {R})</span> with <span>(f(zeta _1,ldots ,zeta _n)^2)</span> is central valued on <span>(mathcal {R})</span>;</p>\u0000 \u0000 </li>\u0000 <li>\u0000 <span>(3)</span>\u0000 \u0000 <p><span>(mathcal {R})</span> satisfies <span>(s_4)</span>.</p>\u0000 \u0000 </li>\u0000 </ol></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995246","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}

{"title":"The folded map on an identification graph and its application","authors":"Mohammed Abu-Saleem","doi":"10.1007/s13370-025-01251-7","DOIUrl":"10.1007/s13370-025-01251-7","url":null,"abstract":"<div><p>In this article, we define a new operation on a graph, namely the <i>u</i>-graph and find a necessary and sufficient condition for the folded map to be a homomorphism. Also, we introduce the limit folded map on the <i>u</i>-graph. We deduce the relation between a special family of graphs and their folded maps. We construct a finite sequence of folded maps on a finite number of connected <i>u</i>-graphs. Under certain conditions, we derive the relationship between a <i>u</i>-graph and its subgraphs. Furthermore, we present some applications for new graph operations.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142995350","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}