Finding mixed families of special polynomials associated with Appell sequences

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• 作者：Subuhi Khan^a ; ^{subuhi2006@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Nusrat Raza^b ; ^{nraza.maths@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Mahvish Ali^a ; ¹ ; ^{mahvishali37@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Laguerre&ndash ; Gould Hopper based Appell polynomials ; Monomiality principle ; Operational techniques ; Determinantal definition
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：447
• 期：1
• 页码：398-418
• 全文大小：2722 K

文摘

In this paper, certain mixed special polynomial families associated with Appell sequences are introduced and their properties are established. Further, operational rules providing connections between these families and known special polynomials are established, which are used to derive the identities and results for the members of these new families. Determinantal definitions of the polynomials associated with Appell family are also derived. The approach presented is general.