{"title":"2D-Sheffer-Mittag-Leffler polynomials: properties and examples","authors":"Subuhi Khan, Mahvish Ali, Shakeel Ahmad Naikoo","doi":"10.7153/jca-2019-15-10","DOIUrl":null,"url":null,"abstract":"In this work, the 2D-Sheffer polynomials and the Mittag-Leffler polynomials are combined to introduce the family of the 2D-Sheffer-Mittag-Leffler polynomials. The generating function, quasi-monomial properties and series definition of these polynomials are established. Examples of some members belonging to this family are considered. The graphs of some hybrid special polynomials are also drawn for suitable values of the indices. Mathematics subject classification (2010): 33C45, 33C99, 33E20.","PeriodicalId":73656,"journal":{"name":"Journal of classical analysis","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of classical analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/jca-2019-15-10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this work, the 2D-Sheffer polynomials and the Mittag-Leffler polynomials are combined to introduce the family of the 2D-Sheffer-Mittag-Leffler polynomials. The generating function, quasi-monomial properties and series definition of these polynomials are established. Examples of some members belonging to this family are considered. The graphs of some hybrid special polynomials are also drawn for suitable values of the indices. Mathematics subject classification (2010): 33C45, 33C99, 33E20.
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