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math.CA2020★ 1 cited
On -analogs of zeta functions associated with a pair of -analogs of Bernoulli numbers and polynomials
Ahmad El-Guindy, Zeinab Mansour
In this paper, we use two different approaches to introduce -analogs of Riemann's zeta function and prove that their values at even integers are related to the -Bernoulli and…
math.CA2013★ 10 cited
Functional definitions for -analogues of eulerian functions and applications
Ahmad El-Guindy, Zeinab Mansour
We explore a number of functional properties of the -gamma function and a class of its quotients; including the -beta function. We obtain formulas for all higher logarithmic…