Generalized Hermite- based Apostol- Bernoulli, Euler, Genocchi polynomials and their relations
Authors
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Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Noida ,IN
Aparna Chaturvedi -
Department of Mathematics, Amity Institute of Applied Sciences, Amity University, Noida ,INPrakriti Rai
DOI:
https://doi.org/10.18311/jims/2020/22695Keywords:
Apostol-Hermite-Bernoullli polynomials, Apostol-Hermite-Euler polynomials and Apostol-Hermite-Genocchi polynomials, Summation formulae, Symmetric identitiesAbstract
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.
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Copyright (c) 2020 Aparna Chaturvedi, Prakriti Rai
This work is licensed under a Creative Commons Attribution 4.0 International License.
Accepted 2019-12-05
Published 2020-05-15
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