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Electronic journal of mathematical analysis and applications最新文献

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A Study of Generalized Partial Mock Theta Functions 广义部分模拟 Theta 函数研究
Electronic journal of mathematical analysis and applications Pub Date : 2024-07-01 DOI: 10.21608/ejmaa.2024.251590.1096
Swayamprabha Tiwari, Sameena Saba, Mohammad Ahmad
{"title":"A Study of Generalized Partial Mock Theta Functions","authors":"Swayamprabha Tiwari, Sameena Saba, Mohammad Ahmad","doi":"10.21608/ejmaa.2024.251590.1096","DOIUrl":"https://doi.org/10.21608/ejmaa.2024.251590.1096","url":null,"abstract":". S. Ramanujan in his last letter to G.H. Hardy has introduced sev-enteen mock theta functions of di  erenct orders ( 3,5 and 7) without explicitly mentioning the reason for his levelling of order, later Watson added to this set three more third order mock theta function. Watson also de  ned bilateral form of some mock theta function of order  ve and expressed them in terms of lerch transendetal functions . Patial mock theta functions of sixth order were studied by Y.S. Choi and partial mock theta functions of third order were studied by G.E. Andrews. In this paper we have given generalization of partial sixth and third order mock theta functions and it is shown that these generalized partial mock theta functions are F q functions. q-integral representation of these generalized partial mock theta functions are also given. we have also expressed some bilateral mock theta functions in terms of lerch transcendental functions f ( x, ξ ; q,p ).","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"2 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141694047","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 remarks on the higher regularity of minimizers of anisotropic functionals 关于各向异性函数最小值的高正则性的几点评论
Electronic journal of mathematical analysis and applications Pub Date : 2024-07-01 DOI: 10.21608/ejmaa.2024.252405.1100
F. Siepe
{"title":"Some remarks on the higher regularity of minimizers of anisotropic functionals","authors":"F. Siepe","doi":"10.21608/ejmaa.2024.252405.1100","DOIUrl":"https://doi.org/10.21608/ejmaa.2024.252405.1100","url":null,"abstract":"","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"31 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141699684","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 PROPERTIES OF ANALYTIC FUNCTIONS DEFINED BY POLYLOGARITHM FUNCTIONS 多对数函数定义的解析函数的一些性质
Electronic journal of mathematical analysis and applications Pub Date : 2024-07-01 DOI: 10.21608/ejmaa.2024.280116.1166
Thirupathi Reddy Pinninti
{"title":"SOME PROPERTIES OF ANALYTIC FUNCTIONS DEFINED BY POLYLOGARITHM FUNCTIONS","authors":"Thirupathi Reddy Pinninti","doi":"10.21608/ejmaa.2024.280116.1166","DOIUrl":"https://doi.org/10.21608/ejmaa.2024.280116.1166","url":null,"abstract":"","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"236 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141692443","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
BEST PROXIMITY FOR TWO PAIRS OF MAPPINGS IN MULTIPLICATIVE METRIC SPACE 乘法度量空间中两对映射的最佳邻近度
Electronic journal of mathematical analysis and applications Pub Date : 2024-07-01 DOI: 10.21608/ejmaa.2024.272451.1136
Thokchom Chhatrajit
{"title":"BEST PROXIMITY FOR TWO PAIRS OF MAPPINGS IN MULTIPLICATIVE METRIC SPACE","authors":"Thokchom Chhatrajit","doi":"10.21608/ejmaa.2024.272451.1136","DOIUrl":"https://doi.org/10.21608/ejmaa.2024.272451.1136","url":null,"abstract":". One of the research gaps in the study of best proximity for two pairs of mappings in multiplicative metric spaces may lie in the exploration of its applications in speci  c  elds such as computer science or biology, where understanding the behavior of mappings is critical for modeling and analysis. Emphasizing the signi  cance of proximity in multiplicative metric spaces, the investigation seeks to unveil insights into the behavior and interaction of mappings, thereby o  ering valuable contributions to the broader  eld of mathematical analysis. Through rigorous theoretical analysis and computational experimentation, the study endeavors to provide actionable insights and methodologies for optimizing proximity in multiplicative metric spaces, thereby advancing the theoretical foundations and practical applications within this specialized domain. Many issues in many  elds, including di  erential equations, optimisation, and computer science, may be modelled by  xed-point equations of the type fx = x . In this work, two pairs of proximally commuting mappings in a complete multiplicative metric space are given the idea of optimal proximity. An example is also given to support the results.","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"6 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141702555","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
Uniqueness of General Difference Differential Polynomials and Meromorphic(Entire) Functions 泛函微分多项式与同态（全）函数的唯一性
Electronic journal of mathematical analysis and applications Pub Date : 2024-07-01 DOI: 10.21608/ejmaa.2024.280883.1168
H. Waghamore, Manjunath B. E.
{"title":"Uniqueness of General Difference Differential Polynomials and Meromorphic(Entire) Functions","authors":"H. Waghamore, Manjunath B. E.","doi":"10.21608/ejmaa.2024.280883.1168","DOIUrl":"https://doi.org/10.21608/ejmaa.2024.280883.1168","url":null,"abstract":". This study explores the uniqueness of entire and meromorphic functions with equal weights l ≥ 0 by investigating the general di  erence-di  erential polynomial Ψ ( z,f ). We have extended the  ndings attributed to [3] and derived a new result. Additionally, we examine the implications when a polynomial of degree n shares a common value with the general di  erence-di  erential polynomial. We have also posed an open problem for future research work.","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"39 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141697041","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
Starlike and Convex functions associated with Hypergeometric Matrix functions 与超几何矩阵函数相关的星形和凸形函数
Electronic journal of mathematical analysis and applications Pub Date : 2024-07-01 DOI: 10.21608/ejmaa.2024.269610.1128
S. Porwal, Omendra Mishra
{"title":"Starlike and Convex functions associated with Hypergeometric Matrix functions","authors":"S. Porwal, Omendra Mishra","doi":"10.21608/ejmaa.2024.269610.1128","DOIUrl":"https://doi.org/10.21608/ejmaa.2024.269610.1128","url":null,"abstract":"","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"45 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141711233","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
Generalized fuzzy bicomplex numbers and some of their properties. 广义模糊二复数及其某些性质。
Electronic journal of mathematical analysis and applications Pub Date : 2024-07-01 DOI: 10.21608/ejmaa.2024.276458.1148
Ritam Biswas, Tanmay Biswas
{"title":"Generalized fuzzy bicomplex numbers and some of their properties.","authors":"Ritam Biswas, Tanmay Biswas","doi":"10.21608/ejmaa.2024.276458.1148","DOIUrl":"https://doi.org/10.21608/ejmaa.2024.276458.1148","url":null,"abstract":". At present time, theory of complex numbers is a very renowned subject area in Mathematics as well as various other  elds of science and technology. In nineteenth century, di  erent number systems had been introduced for examining algebra regarding multiple imaginary units. The notion of bi-complex numbers, perhaps, would be the most important among those. Later on, as an extension of this number system, generalized bicomplex number had been introduced. On the other hand, the concept of fuzzy logic has been considered to be signi  cant in Mathematics to solve problems having imprecise spectrum of data. In this paper, our intension is to fuzzify generalized bicomplex number. For this purpose, here we  rst de  ne generalized fuzzy bicomplex numbers from two alternative aspects and then, based upon these we propose some basic mathematical tools such as generalized fuzzy bicomplex norm, basic arithmetic operations etc. which help to study some fundamental properties in this regard.","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"10 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141693993","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
WEIGHTED SHARING OF ENTIRE FUNCTIONS CONCERNING LINEAR DIFFERENCE OPERATORS 关于线性差分算子的全函数加权共享
Electronic journal of mathematical analysis and applications Pub Date : 2024-07-01 DOI: 10.21608/ejmaa.2024.270077.1129
Megha M. Manakame
{"title":"WEIGHTED SHARING OF ENTIRE FUNCTIONS CONCERNING LINEAR DIFFERENCE OPERATORS","authors":"Megha M. Manakame","doi":"10.21608/ejmaa.2024.270077.1129","DOIUrl":"https://doi.org/10.21608/ejmaa.2024.270077.1129","url":null,"abstract":". In this research article, we investigates the value distribution of linear q -di  erence operators L k ( f, ∆ q,c ) and L k ( g, ∆ q,c ), for a transcendental entire functions of zero order. At the same time we also investigate the uniqueness problems when two linear q - di  erence operators of entire functions share one value with  nite weight. Our results extends the previous theorems of existing studies [11], [12]","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"19 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141691343","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 Pseudo-Fibonacci and Pseudo-Lucas Quaternions 关于伪斐波那契和伪卢卡斯四元数
Electronic journal of mathematical analysis and applications Pub Date : 2024-01-01 DOI: 10.21608/ejmaa.2023.241678.1082
Orhan Dişkaya, H. Menken
{"title":"On the Pseudo-Fibonacci and Pseudo-Lucas Quaternions","authors":"Orhan Dişkaya, H. Menken","doi":"10.21608/ejmaa.2023.241678.1082","DOIUrl":"https://doi.org/10.21608/ejmaa.2023.241678.1082","url":null,"abstract":"","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"5 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139126439","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
Weakly compatible maps and fixed point results in Super Metric Space 超公制空间中的弱兼容映射和定点结果
Electronic journal of mathematical analysis and applications Pub Date : 2024-01-01 DOI: 10.21608/ejmaa.2024.264470.1121
N. Hooda, Pardeep Kumar, Monika Sihag
{"title":"Weakly compatible maps and fixed point results in Super Metric Space","authors":"N. Hooda, Pardeep Kumar, Monika Sihag","doi":"10.21608/ejmaa.2024.264470.1121","DOIUrl":"https://doi.org/10.21608/ejmaa.2024.264470.1121","url":null,"abstract":". The aim of this research paper is to extend the results of Karapinar and Khojasteh [13], Karapinar and Fulga [12] in super metric space by using weakly compatible mappings. Further, the analogue results of Jungck[10], Das and Naik [6], and Ciric [5] in quasi-contraction mappings are generalized in super metric space.","PeriodicalId":91074,"journal":{"name":"Electronic journal of mathematical analysis and applications","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140517573","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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