Unification of q-exponential Function and Related q-numbers and Polynomials

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Amer Inst Physics

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info:eu-repo/semantics/openAccess

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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4th International Conference on Analysis and Applied Mathematics (ICAAM) -- SEP 06-09, 2018 -- Mersin, TURKEY

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Q-Extensions, Q-Bernoulli

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International Conference on Analysis and Applied Mathematics (Icaam 2018)

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1997

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