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Legendre-Gould Hopper Based Sheffer Polynomials: Properties and Applications
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In this article, the Legendre-Gould Hopper polynomials are combined with Sheffer sequences to introduce certain mixed type special polynomials. Generating functions, differential equations and certain other properties of Legendre-Gould Hopper based Sheffer polynomials are derived. Further, operational and integral representations providing connections between these polynomials and known special polynomials are established. Certain identities and results for some members of these new mixed polynomials are also obtained. Finally, the determinantal definitions of Legendre-Gould Hopper based Sheffer polynomials are also given.
Title: Legendre-Gould Hopper Based Sheffer Polynomials: Properties and Applications
Description:
In this article, the Legendre-Gould Hopper polynomials are combined with Sheffer sequences to introduce certain mixed type special polynomials.
Generating functions, differential equations and certain other properties of Legendre-Gould Hopper based Sheffer polynomials are derived.
Further, operational and integral representations providing connections between these polynomials and known special polynomials are established.
Certain identities and results for some members of these new mixed polynomials are also obtained.
Finally, the determinantal definitions of Legendre-Gould Hopper based Sheffer polynomials are also given.
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