We study recurrence relations satisfied by the moments ν n ( z ) of a linear functional L whose first moment satisfies a differential equation (in z ) with polynomial coefficients. Dedicated to Dick Askey (1933 – 2019), Grandmaster of Special Functions! Subject Classification Codes: 33C47 (primary), 33C20, 11B37 (secondary).
研究一类线性泛函L的矩ν n (z)所满足的递归关系，该线性泛函L的一阶矩满足具有多项式系数的微分方程。献给迪克·阿斯基(1933 - 2019)，特级大师!课题分类代码:33C47(一级)，33C20, 11B37(二级)。
{"title":"Recurrence relations for the moments of discrete semiclassical orthogonal polynomials","authors":"D. Dominici","doi":"10.7153/jca-2022-20-11","DOIUrl":"https://doi.org/10.7153/jca-2022-20-11","url":null,"abstract":"We study recurrence relations satisfied by the moments ν n ( z ) of a linear functional L whose first moment satisfies a differential equation (in z ) with polynomial coefficients. Dedicated to Dick Askey (1933 – 2019), Grandmaster of Special Functions! Subject Classification Codes: 33C47 (primary), 33C20, 11B37 (secondary).","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71136776","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":"Some results on uniqueness of meromorphic functions for finite order in an angular domain","authors":"Ashok Rathod","doi":"10.7153/jca-2022-20-02","DOIUrl":"https://doi.org/10.7153/jca-2022-20-02","url":null,"abstract":"","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71136415","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}
. In this paper, we fi rst obtain the famous Xiong Inequality for meromorphic functions in an angular domain and also generalise Nevanlinna’s fi ve-value theorem for derivatives of meromorphic functions by considering weaker assumptions of sharing fi ve values and small functions to partially sharing k ( (cid:2) 5 ) values and small functions in an angular domain. As a particular cases of our results, we deduce He Ping result in an angular domain.
{"title":"Nevanlinna's five-value theorem for derivatives of meromorphic functions in an angular domain","authors":"Ashok Rathod, Shreekant Patil","doi":"10.7153/jca-2022-20-01","DOIUrl":"https://doi.org/10.7153/jca-2022-20-01","url":null,"abstract":". In this paper, we fi rst obtain the famous Xiong Inequality for meromorphic functions in an angular domain and also generalise Nevanlinna’s fi ve-value theorem for derivatives of meromorphic functions by considering weaker assumptions of sharing fi ve values and small functions to partially sharing k ( (cid:2) 5 ) values and small functions in an angular domain. As a particular cases of our results, we deduce He Ping result in an angular domain.","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71136402","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 ideal convergence of nested sequences of sets","authors":"Hüseyin Albayrak","doi":"10.7153/jca-2022-19-12","DOIUrl":"https://doi.org/10.7153/jca-2022-19-12","url":null,"abstract":"","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71136339","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":"Fekete-Szegö inequality for classes of analytic functions connected with the (p,q)-derivative","authors":"A. M. Abd-Eltawab, A. Wanas","doi":"10.7153/jca-2022-20-06","DOIUrl":"https://doi.org/10.7153/jca-2022-20-06","url":null,"abstract":"","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71136542","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}
. In this paper we extend the notions of ideal statistical limit points and ideal statistical cluster points for a sequence of fuzzy numbers. We introduce the notions ideal statistical limit points and ideal statistical cluster points of a triple sequence of fuzzy numbers, and give some correlation theorem.
{"title":"Ideal statistically limit points and ideal statistically cluster points of triple sequences of fuzzy numbers","authors":"Ö. Kişi, V. Gürdal, M. Huban","doi":"10.7153/jca-2022-19-10","DOIUrl":"https://doi.org/10.7153/jca-2022-19-10","url":null,"abstract":". In this paper we extend the notions of ideal statistical limit points and ideal statistical cluster points for a sequence of fuzzy numbers. We introduce the notions ideal statistical limit points and ideal statistical cluster points of a triple sequence of fuzzy numbers, and give some correlation theorem.","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71136282","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":"Unicity of shift polynomials generated by meromorphic functions","authors":"M. Tejuswini, N. Shilpa","doi":"10.7153/jca-2022-19-05","DOIUrl":"https://doi.org/10.7153/jca-2022-19-05","url":null,"abstract":"","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71136476","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":"Projections of mutual multifractal functions","authors":"Z. Douzi, B. Selmi","doi":"10.7153/jca-2022-19-03","DOIUrl":"https://doi.org/10.7153/jca-2022-19-03","url":null,"abstract":"","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71136513","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 note on Eneström-Kakeya theorem","authors":"W. M. Shah, Raihana Rashid","doi":"10.7153/jca-2022-19-04","DOIUrl":"https://doi.org/10.7153/jca-2022-19-04","url":null,"abstract":"","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71136436","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}
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