Submitted:
24 June 2019
Posted:
19 August 2019
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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
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