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arXiv · 1808.10534

Unification of q-exponential function and related q-numbers and polynomials

N. I. Mahmudov·Mohammad Momenzadeh
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Abstract

The main purpose of this paper is to introduce and investigate a class of generalized Bernoulli polynomials and Euler polynomials based on the generating function. we unify all forms of q-exponential functions by one more parameter. we study some conditions on this parameter to related this to some classical results for q-Bernoulli numbers and polynomials.

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N. I. Mahmudov, Mohammad Momenzadeh. 2018-10-18. Unification of q-exponential function and related q-numbers and polynomials. https://doi.org/10.1063/1.5049029

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