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Narayana numbers as sums of two base b repdigits Narayana数是两个以b为基数的数字的和
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2022-11-22 DOI: 10.12697/acutm.2022.26.12
P. Ray, K. Bhoi, Bijan Kumar Patel
{"title":"Narayana numbers as sums of two base b repdigits","authors":"P. Ray, K. Bhoi, Bijan Kumar Patel","doi":"10.12697/acutm.2022.26.12","DOIUrl":"https://doi.org/10.12697/acutm.2022.26.12","url":null,"abstract":"In this study, we find all Narayana numbers which are expressible as sums of two base b repdigits. The proof of the main result uses lower bounds for linear forms in logarithms of algebraic numbers and a version of the Baker–Davenport reduction method.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"21 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78133558","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
Current Hom-Lie algebras 当前的homlie代数
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2022-05-30 DOI: 10.12697/acutm.2022.26.08
Torkia Ben Jmaa, A. Makhlouf, N. Saadaoui
{"title":"Current Hom-Lie algebras","authors":"Torkia Ben Jmaa, A. Makhlouf, N. Saadaoui","doi":"10.12697/acutm.2022.26.08","DOIUrl":"https://doi.org/10.12697/acutm.2022.26.08","url":null,"abstract":"In this paper, we study Hom-Lie structures on tensor products. In particular, we consider current Hom-Lie algebras and discuss their representations. We determine faithful representations of minimal dimension of current Heisenberg Hom-Lie algebras. Moreover derivations, including generalized derivations, and centroids are studied. Furthermore, cohomology and extensions of current Hom-Lie algebras are also considered.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"50 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75941991","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
Diophantine equations involving the bi-periodic Fibonacci and Lucas sequences 涉及双周期Fibonacci和Lucas序列的丢番图方程
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2022-05-30 DOI: 10.12697/acutm.2022.26.09
D. Behloul, Akila Djoumakh, Lyes Ait-Amrane
{"title":"Diophantine equations involving the bi-periodic Fibonacci and Lucas sequences","authors":"D. Behloul, Akila Djoumakh, Lyes Ait-Amrane","doi":"10.12697/acutm.2022.26.09","DOIUrl":"https://doi.org/10.12697/acutm.2022.26.09","url":null,"abstract":"In this paper, we present new identities involving the biperiodic Fibonacci and Lucas sequences. Then we solve completely some quadratic Diophantine equations involving the bi-periodic Fibonacci and Lucas sequences.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"10 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83067775","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
Coefficients bounds for a family of bi-univalent functions defined by Horadam polynomials 由Horadam多项式定义的双一价函数族的系数界
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2022-05-28 DOI: 10.12697/acutm.2022.26.02
A. Wanas, B. Frasin, S. R. Swamy, Y. Sailaja
{"title":"Coefficients bounds for a family of bi-univalent functions defined by Horadam polynomials","authors":"A. Wanas, B. Frasin, S. R. Swamy, Y. Sailaja","doi":"10.12697/acutm.2022.26.02","DOIUrl":"https://doi.org/10.12697/acutm.2022.26.02","url":null,"abstract":"In the present paper, we determine upper bounds for the first two Taylor–Maclaurin coefficients |a2| and |a3| for a certain family of holomorphic and bi-univalent functions defined by using the Horadam polynomials. Also, we solve Fekete–Szegö problem of functions belonging to this family. Further, we point out several special cases of our results.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"62 15","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72374361","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
On the bicomplex Gaussian Fibonacci and Gaussian Lucas numbers 关于双复高斯斐波那契数和高斯卢卡斯数
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2022-05-28 DOI: 10.12697/acutm.2022.26.03
E. Özkan, B. Kuloğlu
{"title":"On the bicomplex Gaussian Fibonacci and Gaussian Lucas numbers","authors":"E. Özkan, B. Kuloğlu","doi":"10.12697/acutm.2022.26.03","DOIUrl":"https://doi.org/10.12697/acutm.2022.26.03","url":null,"abstract":"We give the bicomplex Gaussian Fibonacci and the bicomplex Gaussian Lucas numbers and establish the generating functions and Binet’s formulas related to these numbers. Also, we present the summation formula, matrix representation and Honsberger identity and their relationship between these numbers. Finally, we show the relationships among the bicomplex Gaussian Fibonacci, the bicomplex Gaussian Lucas, Gaussian Fibonacci, Gaussian Lucas and Fibonacci numbers.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"47 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75402493","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 the uniqueness of two different classes of meromorphic functions under the sharing of two sets of rational functions 两组有理函数共享下两类亚纯函数的唯一性
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2022-05-27 DOI: 10.12697/acutm.2022.26.01
A. Banerjee, A. Kundu
{"title":"On the uniqueness of two different classes of meromorphic functions under the sharing of two sets of rational functions","authors":"A. Banerjee, A. Kundu","doi":"10.12697/acutm.2022.26.01","DOIUrl":"https://doi.org/10.12697/acutm.2022.26.01","url":null,"abstract":"We study the uniqueness problem of two special classes of meromorphic functions sharing two sets of small functions. One of the considered classes has the property to include the Selberg class L functions, while the other class is comprising of arbitrary meromorphic functions having finitely many poles. We obtain a number of results which extend and improve a number of earlier results such as Li [ Proc. Amer. Math. Soc., 138 (2010), 2071-2077], Lin and Lin [Filomat 30 (2016), 3795-3806] and others. We have also been able to replace the strict CM (IM) sharing of the sets in our theorems to almost CM (almost IM) sharing. ","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"43 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76334731","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
Central part interpolation schemes for a class of fractional initial value problems 一类分数初值问题的中心部分插值格式
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2022-05-27 DOI: 10.12697/acutm.2022.26.11
M. Vikerpuur, Margus Lillemäe, A. Pedas
{"title":"Central part interpolation schemes for a class of fractional initial value problems","authors":"M. Vikerpuur, Margus Lillemäe, A. Pedas","doi":"10.12697/acutm.2022.26.11","DOIUrl":"https://doi.org/10.12697/acutm.2022.26.11","url":null,"abstract":"We consider an initial value problem for linear fractional integro-differential equations with weakly singular kernels. Using an integral equation reformulation of the underlying problem, a collocation method based on the central part interpolation by continuous piecewise polynomials on the uniform grid is constructed and analysed. Optimal convergence order of the proposed method is established and confirmed by numerical experiments.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"55 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73776998","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
About the transitivity of the property of being Segal topological algebra 关于Segal拓扑代数性质的传递性
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2022-05-27 DOI: 10.12697/acutm.2022.26.10
M. Abel
{"title":"About the transitivity of the property of being Segal topological algebra","authors":"M. Abel","doi":"10.12697/acutm.2022.26.10","DOIUrl":"https://doi.org/10.12697/acutm.2022.26.10","url":null,"abstract":"We show that if (A, f, B) and (B, g, C) are left (right or two-sided) Segal topological algebras for which g(f(A))⊆ g(B)g(f(A))  (g(f(A))⊆ g(f(A))g(B)  or  g(f(A))⊆ g(B)g(f(A))∩ g(f(A))g(B), respectively), then (A, g∘ f, C) is also a left (right or two-sided, respectively) Segal topological algebra.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"77 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83870427","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
Two new examples of Banach spaces with a plastic unit ball 两个带有塑料单位球的巴拿赫空间的新例子
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2021-11-19 DOI: 10.12697/acutm.2022.26.07
R. Haller, Nikita Leo, O. Zavarzina
{"title":"Two new examples of Banach spaces with a plastic unit ball","authors":"R. Haller, Nikita Leo, O. Zavarzina","doi":"10.12697/acutm.2022.26.07","DOIUrl":"https://doi.org/10.12697/acutm.2022.26.07","url":null,"abstract":"We prove that Banach spaces ℓ1 ⊕2 R and X ⊕∞ Y , with strictly convex X and Y , have plastic unit balls (we call a metric space plastic if every non-expansive bijection from this space onto itself is an isometry).","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"17 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79290795","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
Tauberian theorems for weighted mean statistical summability of double sequences of fuzzy numbers 模糊数列加权平均统计可和性的Tauberian定理
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2021-11-17 DOI: 10.12697/acutm.2021.25.12
H. Dutta, Jyotishmaan Gogoi
{"title":"Tauberian theorems for weighted mean statistical summability of double sequences of fuzzy numbers","authors":"H. Dutta, Jyotishmaan Gogoi","doi":"10.12697/acutm.2021.25.12","DOIUrl":"https://doi.org/10.12697/acutm.2021.25.12","url":null,"abstract":"We discuss Tauberian conditions under which the statistical convergence of double sequences of fuzzy numbers follows from the statistical convergence of their weighted means. We also prove some other results which are necessary to establish the main results.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"876 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86850567","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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