A NEW CLASS OF GENERALIZED APOSTOL-TYPE FROBENIUS-EULER-HERMITE POLYNOMIALS

A NEW CLASS OF GENERALIZED APOSTOL-TYPE FROBENIUS-EULER-HERMITE POLYNOMIALS

In this paper, we introduce a new class of general-ized Apostol-type Frobenius-Euler-Hermite polynomials and derive some explicit and implicit summation formulae and symmetric iden- tities by using different analytical means and applying generating functions. These results extend some known summatio...

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Veröffentlicht in:Honam mathematical journal 2020-09, Vol.42 (3), p.477-499
Hauptverfasser: Pathan, M.A, Khan, Waseem A
Format: Artikel
Sprache:kor
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Zusammenfassung:In this paper, we introduce a new class of general-ized Apostol-type Frobenius-Euler-Hermite polynomials and derive some explicit and implicit summation formulae and symmetric iden- tities by using different analytical means and applying generating functions. These results extend some known summations and iden-tities of generalized Frobenius-Euler type polynomials and Hermite-based Apostol-Euler and Apostol-Genocchi polynomials studied by Pathan and Khan, Kurt and Simsek.
ISSN:1225-293X