A novel kind of hermite based frobenius type Eulerian polynomials

Waseem Ahmad Khan; Kottakkaran Soopp Nisar; Mehmet Acikgoz; Ugur Duran

doi:10.17777/pjms2019.22.4.551

A novel kind of hermite based frobenius type Eulerian polynomials

Waseem Ahmad Khan
, Kottakkaran Soopp Nisar
, Mehmet Acikgoz
, Ugur Duran

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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.

Original language	English
Pages (from-to)	551-563
Number of pages	13
Journal	Proceedings of the Jangjeon Mathematical Society
Volume	22
Issue number	4
DOIs	https://doi.org/10.17777/pjms2019.22.4.551
State	Published - 2019

Keywords

Frobenius type Eulerian polynomials
Hermite polynomials
Hermite-based Frobenius type Eulerian polynomials
Summation formulae
Symmetric identities

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10.17777/pjms2019.22.4.551

Cite this

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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.",

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AU - Nisar, Kottakkaran Soopp

AU - Acikgoz, Mehmet

AU - Duran, Ugur

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - Frobenius type Eulerian polynomials

KW - Hermite polynomials

KW - Hermite-based Frobenius type Eulerian polynomials

KW - Summation formulae

KW - Symmetric identities

UR - https://www.scopus.com/pages/publications/85075347611

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DO - 10.17777/pjms2019.22.4.551

M3 - Article

AN - SCOPUS:85075347611

SN - 1598-7264

VL - 22

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JO - Proceedings of the Jangjeon Mathematical Society

JF - Proceedings of the Jangjeon Mathematical Society

IS - 4

ER -

A novel kind of hermite based frobenius type Eulerian polynomials

Abstract

Keywords

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