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On generalized M-projectively recurrent manifolds 关于广义m -射影递推流形
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2014-12-01 DOI: 10.2478/AUPCSM-2014-0007
Uday Chand De, Prajjwal Pal
{"title":"On generalized M-projectively recurrent manifolds","authors":"Uday Chand De, Prajjwal Pal","doi":"10.2478/AUPCSM-2014-0007","DOIUrl":"https://doi.org/10.2478/AUPCSM-2014-0007","url":null,"abstract":"Abstract The purpose of the present paper is to study generalized M-projectively recurrent manifolds. Some geometric properties of generalized M projectively recurrent manifolds have been studied under certain curvature conditions. An application of such a manifold in the theory of relativity has also been shown. Finally, we give an example of a generalized M-projectively recurrent manifold.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"54 1","pages":"77 - 101"},"PeriodicalIF":0.9,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83301310","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: 4
Simple proofs of some generalizations of the Wilson’s theorem 威尔逊定理的一些推广的简单证明
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2014-12-01 DOI: 10.2478/AUPCSM-2014-0001
J. Gorowski, Adam Łomnicki
{"title":"Simple proofs of some generalizations of the Wilson’s theorem","authors":"J. Gorowski, Adam Łomnicki","doi":"10.2478/AUPCSM-2014-0001","DOIUrl":"https://doi.org/10.2478/AUPCSM-2014-0001","url":null,"abstract":"Abstract In this paper a remarkable simple proof of the Gauss’s generalization of the Wilson’s theorem is given. The proof is based on properties of a subgroup generated by element of order 2 of a finite abelian group. Some conditions equivalent to the cyclicity of (Φ(n), ·n), where n > 2 is an integer are presented, in particular, a condition for the existence of the unique element of order 2 in such a group.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"141 1","pages":"7 - 14"},"PeriodicalIF":0.9,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77458221","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: 3
À la recherche de la preuve perdue: a simple proof of the Ficken theorem 寻找丢失的证据:菲肯定理的简单证明
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2014-12-01 DOI: 10.2478/AUPCSM-2014-0010
D. Cichoń
{"title":"À la recherche de la preuve perdue: a simple proof of the Ficken theorem","authors":"D. Cichoń","doi":"10.2478/AUPCSM-2014-0010","DOIUrl":"https://doi.org/10.2478/AUPCSM-2014-0010","url":null,"abstract":"Abstract A new proof of the Ficken criterion is given together with a comment concerning the known proofs and related results","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"1 1","pages":"133 - 137"},"PeriodicalIF":0.9,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85681008","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: 1
Starlike functions of complex order involving q-hypergeometric functions with fixed point 含q-不动点超几何函数的复阶星形函数
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2014-12-01 DOI: 10.2478/AUPCSM-2014-0005
K. Vijaya, G. Murugusundaramoorthy, M. Kasthuri
{"title":"Starlike functions of complex order involving q-hypergeometric functions with fixed point","authors":"K. Vijaya, G. Murugusundaramoorthy, M. Kasthuri","doi":"10.2478/AUPCSM-2014-0005","DOIUrl":"https://doi.org/10.2478/AUPCSM-2014-0005","url":null,"abstract":"Abstract Recently Kanas and Ronning introduced the classes of starlike and convex functions, which are normalized with ƒ(ξ) = ƒ0(ξ) − 1 = 0, ξ (|ξ| = d) is a fixed point in the open disc U = {z ∈ ℂ: |z| < 1}. In this paper we define a new subclass of starlike functions of complex order based on q-hypergeometric functions and continue to obtain coefficient estimates, extreme points, inclusion properties and neighbourhood results for the function class T Sξ(α, β,γ). Further, we obtain integral means inequalities for the function ƒ ∈ T Sξ(α, β,γ).","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"60 1","pages":"51 - 63"},"PeriodicalIF":0.9,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.2478/AUPCSM-2014-0005","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72519008","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: 5
First-order systems of linear partial differential equations: normal forms, canonical systems, transform methods 线性偏微分方程的一阶系统:范式，规范系统，变换方法
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2014-12-01 DOI: 10.2478/AUPCSM-2014-0009
H. Toparkus
{"title":"First-order systems of linear partial differential equations: normal forms, canonical systems, transform methods","authors":"H. Toparkus","doi":"10.2478/AUPCSM-2014-0009","DOIUrl":"https://doi.org/10.2478/AUPCSM-2014-0009","url":null,"abstract":"Abstract In this paper we consider first-order systems with constant coefficients for two real-valued functions of two real variables. This is both a problem in itself, as well as an alternative view of the classical linear partial differential equations of second order with constant coefficients. The classification of the systems is done using elementary methods of linear algebra. Each type presents its special canonical form in the associated characteristic coordinate system. Then you can formulate initial value problems in appropriate basic areas, and you can try to achieve a solution of these problems by means of transform methods.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"93 1","pages":"109 - 132"},"PeriodicalIF":0.9,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90431969","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
Semiprime rings with nilpotent Lie ring of inner derivations 具有幂零内导李环的半素环
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2014-12-01 DOI: 10.2478/AUPCSM-2014-0008
Kamil Kular
{"title":"Semiprime rings with nilpotent Lie ring of inner derivations","authors":"Kamil Kular","doi":"10.2478/AUPCSM-2014-0008","DOIUrl":"https://doi.org/10.2478/AUPCSM-2014-0008","url":null,"abstract":"Abstract We give an elementary and self-contained proof of the theorem which says that for a semiprime ring commutativity, Lie-nilpotency, and nilpotency of the Lie ring of inner derivations are equivalent conditions","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"11 1","pages":"103 - 107"},"PeriodicalIF":0.9,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78451822","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: 2
Prime numbers with a certain extremal type property 具有一定极值型性质的素数
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2014-08-15 DOI: 10.2478/aupcsm-2018-0010
Edward Tutaj
{"title":"Prime numbers with a certain extremal type property","authors":"Edward Tutaj","doi":"10.2478/aupcsm-2018-0010","DOIUrl":"https://doi.org/10.2478/aupcsm-2018-0010","url":null,"abstract":"Abstract The convex hull of the subgraph of the prime counting function x → π(x) is a convex set, bounded from above by a graph of some piecewise affine function x → (x). The vertices of this function form an infinite sequence of points (ek,π(ek))1∞ $({e_k},pi ({e_k}))_1^infty $ . The elements of the sequence (ek)1∞ shall be called the extremal prime numbers. In this paper we present some observations about the sequence (ek)1∞ and we formulate a number of questions inspired by the numerical data. We prove also two – it seems – interesting results. First states that if the Riemann Hypothesis is true, then ek+1ek=1 ${{{e_k} + 1} over {{e_k}}} = 1$ . The second, also depending on Riemann Hypothesis, describes the order of magnitude of the differences between consecutive extremal prime numbers.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"66 1","pages":"127 - 151"},"PeriodicalIF":0.9,"publicationDate":"2014-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89609705","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: 3
On the gluing of hyperconvex metrics and diversities 关于超凸度量与分集的胶合
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2014-07-16 DOI: 10.2478/AUPCSM-2014-0006
B. Piatek
{"title":"On the gluing of hyperconvex metrics and diversities","authors":"B. Piatek","doi":"10.2478/AUPCSM-2014-0006","DOIUrl":"https://doi.org/10.2478/AUPCSM-2014-0006","url":null,"abstract":"Abstract In this work we consider two hyperconvex diversities (or hyperconvex metric spaces) (X, δX) and (Y, δY ) with nonempty intersection and we wonder whether there is a natural way to glue them so that the new glued diversity (or metric space) remains being hyperconvex. We provide positive and negative answers in both situations.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"11 1","pages":"65 - 76"},"PeriodicalIF":0.9,"publicationDate":"2014-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78495304","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: 11
The class Bp for weighted generalized Fourier transform inequalities 加权广义傅里叶变换不等式的Bp类
IF 0.9
Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica Pub Date : 2013-01-26 DOI: 10.1515/AUPCSM-2015-0009
Chokri Abdelkefi, Mongi Rachdi
{"title":"The class Bp for weighted generalized Fourier transform inequalities","authors":"Chokri Abdelkefi, Mongi Rachdi","doi":"10.1515/AUPCSM-2015-0009","DOIUrl":"https://doi.org/10.1515/AUPCSM-2015-0009","url":null,"abstract":"Abstract In the present paper, we prove weighted inequalities for the Dunkl transform (which generalizes the Fourier transform) when the weights belong to the well-known class Bp. As application, we obtain the Pitt’s inequality for power weights.","PeriodicalId":53863,"journal":{"name":"Annales Universitatis Paedagogicae Cracoviensis-Studia Mathematica","volume":"464 1","pages":"121 - 133"},"PeriodicalIF":0.9,"publicationDate":"2013-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77036770","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: 3
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