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JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES最新文献

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CONNECTION BETWEEN PARTIAL BELL POLYNOMIALS AND (q; q)k; PARTITION FUNCTION, AND CERTAIN q-HYPERGEOMETRIC SERIES 偏钟多项式与(q)的联系问)k;配分函数，以及某些q-超几何级数
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2022-12-30 DOI: 10.56827/jrsmms.2022.1001.1
Mushtaque Ahmed Pathan, J. Bulnes, J. L´opez-Bonilla, H. Kumar
{"title":"CONNECTION BETWEEN PARTIAL BELL POLYNOMIALS AND (q; q)k; PARTITION FUNCTION, AND CERTAIN q-HYPERGEOMETRIC SERIES","authors":"Mushtaque Ahmed Pathan, J. Bulnes, J. L´opez-Bonilla, H. Kumar","doi":"10.56827/jrsmms.2022.1001.1","DOIUrl":"https://doi.org/10.56827/jrsmms.2022.1001.1","url":null,"abstract":"We exhibit a relationship between q-shifted factorial, (q; q)n, and the incomplete exponential Bell polynomials and also evaluate several q-hypergeometric series using the q-version of Petkovsek-WilfZeilberger’s algorithm. Finally, we write the partition function p(n) in terms of Qm(k), the number of partitions of m using (possibly repeated) parts that do not exceed k.","PeriodicalId":282200,"journal":{"name":"JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130574953","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
NEW FUNCTIONAL RELATION FOR THE DILOGARITHM INVOLVING TWO VARIABLES 二元二重多项式的新函数关系
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2022-12-30 DOI: 10.56827/jrsmms.2022.1001.7
Jorge Luis Cimadevilla . Villacrota, M. Chaudhary
{"title":"NEW FUNCTIONAL RELATION FOR THE DILOGARITHM INVOLVING TWO VARIABLES","authors":"Jorge Luis Cimadevilla . Villacrota, M. Chaudhary","doi":"10.56827/jrsmms.2022.1001.7","DOIUrl":"https://doi.org/10.56827/jrsmms.2022.1001.7","url":null,"abstract":"We establish new functional relations for the dilogarithm involving two variables, which adhere the properties of Polylogarithm. We also considered several closely-related identities such as (for example) polylogarithm (also known as Jonqui`ere’s function), Euler dilogarithm function and Clausen’s function.","PeriodicalId":282200,"journal":{"name":"JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"353 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115924883","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
β-PREREGULAR SPACE IN FUZZY SETTING 模糊环境中的β-准正则空间
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2022-12-30 DOI: 10.56827/jrsmms.2022.1001.12
A. Bhattacharyya
{"title":"β-PREREGULAR SPACE IN FUZZY SETTING","authors":"A. Bhattacharyya","doi":"10.56827/jrsmms.2022.1001.12","DOIUrl":"https://doi.org/10.56827/jrsmms.2022.1001.12","url":null,"abstract":"In this paper a new type of fuzzy regular space is introduced and studied by introducing fuzzy β-preopen set, the class of which is strictly larger than that of fuzzy open set as well as fuzzy preopen set. Here we also introduce two new types of functions, viz., fuzzy β-precontinuous and fuzzy β-preirresolute functions. Lastly, the application of fuzzy β-precontinuous function on fuzzy β- preregular space is shown here.","PeriodicalId":282200,"journal":{"name":"JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"191 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132757171","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 NOTE ON AN EQUIVALENT OF THE RIEMANN HYPOTHESIS 一个关于黎曼假设等价的注解
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2022-12-30 DOI: 10.56827/jrsmms.2022.1001.8
Shekhar Suman, Raman Kumar Das
{"title":"A NOTE ON AN EQUIVALENT OF THE RIEMANN HYPOTHESIS","authors":"Shekhar Suman, Raman Kumar Das","doi":"10.56827/jrsmms.2022.1001.8","DOIUrl":"https://doi.org/10.56827/jrsmms.2022.1001.8","url":null,"abstract":"In this manuscript we denote by P ρ a sum over the non trivial zeros of Riemann zeta function (or over the zeros of Riemann’s xi function), where the zeros of multiplicity k are counted k times. We prove a result that the Riemann Hypothesis is true if and only if","PeriodicalId":282200,"journal":{"name":"JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130672454","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 FIXED POINT THEOREM ON ENRICHED (ψ, φλ)-WEAKLY CONTRACTIVE MAPS IN CONVEX METRIC SPACES 凸度量空间中富(ψ， φλ)-弱压缩映射的不动点定理
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2022-12-30 DOI: 10.56827/jrsmms.2022.1001.9
G. Babu, C. S. Rao, P. Mounika
{"title":"A FIXED POINT THEOREM ON ENRICHED (ψ, φλ)-WEAKLY CONTRACTIVE MAPS IN CONVEX METRIC SPACES","authors":"G. Babu, C. S. Rao, P. Mounika","doi":"10.56827/jrsmms.2022.1001.9","DOIUrl":"https://doi.org/10.56827/jrsmms.2022.1001.9","url":null,"abstract":"In this paper, we define enriched (ψ, φλ)-weakly contractive map in convex metric spaces where ψ is continuous on [0,+∞) and φλ is not continuous on [0,+∞) and prove the existence and uniqueness of fixed points of these maps in complete convex metric spaces. We provide an example in support of our result.","PeriodicalId":282200,"journal":{"name":"JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"239 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132280457","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
DIGITAL TIME: A FINITE FIELD, TF 数字时间:一个有限域，tf
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2022-12-30 DOI: 10.56827/jrsmms.2022.1001.14
G. Manikandan, K. Rao
{"title":"DIGITAL TIME: A FINITE FIELD, TF","authors":"G. Manikandan, K. Rao","doi":"10.56827/jrsmms.2022.1001.14","DOIUrl":"https://doi.org/10.56827/jrsmms.2022.1001.14","url":null,"abstract":"Digital time was defined KSR-PP [2] with three two-digit positions as h2h1 : m2m1 : s2s1. It was identified with appropriate restricted place values on the hours (H), minutes (M) and seconds (S) shown to be 86400-element cyclic Time Group, TG. Here it is shown to be a finite time field, TF. A palindromic sequence of 119-elements and its sub-sequences are shown to be consequences of TF .","PeriodicalId":282200,"journal":{"name":"JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"184 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114157702","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
THE QUINTESSENTIAL NUMBER 24 典型的数字24
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2022-12-30 DOI: 10.56827/jrsmms.2022.1001.16
K. Rao, T. Srinivasan, Satya Prakash Singh, C. K. Singh
{"title":"THE QUINTESSENTIAL NUMBER 24","authors":"K. Rao, T. Srinivasan, Satya Prakash Singh, C. K. Singh","doi":"10.56827/jrsmms.2022.1001.16","DOIUrl":"https://doi.org/10.56827/jrsmms.2022.1001.16","url":null,"abstract":"In this article, the authors refer to the interesting nature and properties of the number 24 and its occurrence and relevance in different contexts and conjecture that it is the raison d’ˆetre for its occurrence in the definition of the τ -function of Ramanujan.","PeriodicalId":282200,"journal":{"name":"JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"109 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131798332","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
RELATIONS BETWEEN MOCK THETA FUNCTIONS AND COMBINATORIAL PARTITION IDENTITIES 模拟函数与组合配分恒等式的关系
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2022-12-30 DOI: 10.56827/jrsmms.2022.1001.6
M. Chaudhary, Salem . Guiben, Kamel Mazhouda
{"title":"RELATIONS BETWEEN MOCK THETA FUNCTIONS AND COMBINATORIAL PARTITION IDENTITIES","authors":"M. Chaudhary, Salem . Guiben, Kamel Mazhouda","doi":"10.56827/jrsmms.2022.1001.6","DOIUrl":"https://doi.org/10.56827/jrsmms.2022.1001.6","url":null,"abstract":"The main object of this paper is to present 6 new interrelationships between mock theta functions and combinatorial partition identities. The results presented in this paper are motivated by some recent works by M.P.Chaudhary [6].","PeriodicalId":282200,"journal":{"name":"JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133653659","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
SOME RESULTS IN CONNECTION WITH SUM AND PRODUCT THEOREMS RELATED TO GENERALIZED RELATIVE ORDER (α, β) AND GENERALIZED RELATIVE TYPE (α, β) OF ENTIRE FUNCTIONS IN THE UNIT DISC 关于单位圆盘上整个函数的广义相对阶(α， β)和广义相对型(α， β)的和与积定理的一些结果
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2022-12-30 DOI: 10.56827/jrsmms.2022.1001.5
T. Biswas, C. Biswas
{"title":"SOME RESULTS IN CONNECTION WITH SUM AND PRODUCT THEOREMS RELATED TO GENERALIZED RELATIVE ORDER (α, β) AND GENERALIZED RELATIVE TYPE (α, β) OF ENTIRE FUNCTIONS IN THE UNIT DISC","authors":"T. Biswas, C. Biswas","doi":"10.56827/jrsmms.2022.1001.5","DOIUrl":"https://doi.org/10.56827/jrsmms.2022.1001.5","url":null,"abstract":"Orders and types of entire functions have been actively investigated by many authors. In this paper, we investigate some basic properties in connection with sum and product of generalized relative order (α, β), generalized relative type (α, β) and generalized relative weak type (α, β) of entire functions in the unit disc D with respect to another entire function where α, β are continuous non-negative functions on (−∞,+∞).","PeriodicalId":282200,"journal":{"name":"JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122348769","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
FRACTIONAL CALCULUS BETWEEN BANACH SPACES ALONG WITH OSTROWSKI AND GR¨USS TYPE INEQUALITIES banach空间间的分数阶微积分及ostrowski和gr¨uss型不等式
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2022-12-30 DOI: 10.56827/jrsmms.2022.1001.2
G. Anastassiou
{"title":"FRACTIONAL CALCULUS BETWEEN BANACH SPACES ALONG WITH OSTROWSKI AND GR¨USS TYPE INEQUALITIES","authors":"G. Anastassiou","doi":"10.56827/jrsmms.2022.1001.2","DOIUrl":"https://doi.org/10.56827/jrsmms.2022.1001.2","url":null,"abstract":"Here we present a fractional calculus Caputo type for functions between Banach spaces. Left and right fractional derivatives are defined on a segment of a Banach space, then we expand. We apply the above to new Ostrowski and Gr¨uss type inequalities at very abstract level.","PeriodicalId":282200,"journal":{"name":"JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116897289","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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