The Journal of the Indian Mathematical Society

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Generalized Hermite-Based Apostol-Bernoulli, Euler, Genocchi Polynomials and their Relations


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1 Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Noida, India
     

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In this paper, we have generalized Apostol-Hermite-Bernoullli polynomials, Apostol-Hermite-Euler polynomials and Apostol-Hermite-Genocchi polynomials. We have shown that there is an intimate connection between these polynomials and derived some implicit summation formulae by applying the generating functions

Keywords

2010 Mathematics Subject Classification. Primary 54C40, 14E20; Secondary 46E25, 20C20.

Apostol-Hermite-Bernoullli Polynomials, Apostol-Hermite-Euler Polynomials and Apostol-Hermite-Genocchi Polynomials, Summation Formulae, Symmetric Identities.

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  • Generalized Hermite-Based Apostol-Bernoulli, Euler, Genocchi Polynomials and their Relations

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Authors

Aparna Chaturvedi
Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Noida, India
Prakriti Rai
Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Noida, India

Abstract


In this paper, we have generalized Apostol-Hermite-Bernoullli polynomials, Apostol-Hermite-Euler polynomials and Apostol-Hermite-Genocchi polynomials. We have shown that there is an intimate connection between these polynomials and derived some implicit summation formulae by applying the generating functions

Keywords


2010 Mathematics Subject Classification. Primary 54C40, 14E20; Secondary 46E25, 20C20.

Apostol-Hermite-Bernoullli Polynomials, Apostol-Hermite-Euler Polynomials and Apostol-Hermite-Genocchi Polynomials, Summation Formulae, Symmetric Identities.


References





DOI: https://doi.org/10.18311/jims%2F2020%2F22695