Preprint Article Version 1 This version is not peer-reviewed

A Novel Kind of Hermite Based Frobenius Type Eulerian Polynomials

Version 1 : Received: 24 June 2019 / Approved: 19 August 2019 / Online: 19 August 2019 (12:18:42 CEST)

How to cite: Khan, W.A.; Nisar, K.S.; Acikgoz, M.; Duran, U. A Novel Kind of Hermite Based Frobenius Type Eulerian Polynomials. Preprints 2019, 2019080194 (doi: 10.20944/preprints201908.0194.v1). Khan, W.A.; Nisar, K.S.; Acikgoz, M.; Duran, U. A Novel Kind of Hermite Based Frobenius Type Eulerian Polynomials. Preprints 2019, 2019080194 (doi: 10.20944/preprints201908.0194.v1).

Abstract

We introduce a new kind of extended Hermite-based Frobenius type Eulerian polynomials and then derive diverse explicit and implicit summation equations including some symmetric formulas by utilizing series manupulation method. Multifarious summation formulas and identities given earlier for some well known polynomials such as Eulerian polynomials and Frobenius type Eulerian polynomials are generalized.

Subject Areas

hermite polynomials; Frobenius type Eulerian polynomials; Hermite-based Frobenius type Eulerian polynomials; summation formulae; symmetric identities

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