Finding mixed families of special polynomials associated with Appell sequences
Copyright policy )Finding mixed families of special polynomials associated with Appell sequences
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 the 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 is also derived. The approach presented is general.
- Aligarh Muslim University India
- Aligarh Muslim University India
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), monomiality principle, Appell, Horn and Lauricella functions, Mathematics - Classical Analysis and ODEs, operational techniques, Classical Analysis and ODEs (math.CA), FOS: Mathematics, determinantal definition, Laguerre-Gould Hopper based Appell polynomials
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), monomiality principle, Appell, Horn and Lauricella functions, Mathematics - Classical Analysis and ODEs, operational techniques, Classical Analysis and ODEs (math.CA), FOS: Mathematics, determinantal definition, Laguerre-Gould Hopper based Appell polynomials
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