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A Novel Kind of Hermite Based Frobenius Type Eulerian Polynomials
Waseem Ahmad Khan
Kottakkaran Sooppy Nisar
Ugur Duran
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.
Keywords
hermite polynomials; Frobenius type Eulerian polynomials; Hermite-based Frobenius type Eulerian polynomials; summation formulae; symmetric identities
Subject
MATHEMATICS & COMPUTER SCIENCE, Algebra & Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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