Integral Transforms and Extended Hermite-Apostol Type Frobenius-Genocchi Polynomials
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Authors: S. A. WANI AND M. RIYASAT
DOI: 10.46793/KgJMat2401.041W
Abstract:
The schemata for applications of the integral transforms of mathematical physics to recurrence relations, differential, integral, integro-differential equations and in the theory of special functions has been developed. The article aims to introduce and present operational representations for a new class of extended Hermite-Apostol type Frobenius-Genocchi polynomials via integral transforms. The recurrence relations and some identities involving these polynomials are established. The article concludes by establishing a determinant form and quasi-monomial properties for the Hermite-Apostol type Frobenius-Genocchi polynomials and for their extended forms.
Keywords:
Quasi-monomiality, extended Hermite-Apostol type Frobenius-Genocchi polynomials, fractional operators, operational rules.
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