Integral Transforms and Extended Hermite-Apostol Type Frobenius-Genocchi Polynomials
Kragujevac Journal of Mathematics, Tome 48 (2024) no. 1, p. 41 .

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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.
Classification : 26A33, 33B10, 33C45
Keywords: Quasi-monomiality, extended Hermite-Apostol type Frobenius-Genocchi polynomials, fractional operators, operational rules
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Shahid Ahmad Wani; Mumtaz Riyasat. Integral Transforms and Extended Hermite-Apostol Type Frobenius-Genocchi Polynomials. Kragujevac Journal of Mathematics, Tome 48 (2024) no. 1, p. 41 . http://geodesic.mathdoc.fr/item/KJM_2024_48_1_a2/