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4 papers
Study of new class of q-fractional derivative and its properties
M. Momenzadeh, S. Norouzpoor
There are several approaches to the fractional differential operator. Generalized q-fractional difference operator was defined in the aid of q-iterated Cauchy integral and q-calcul…
Study of new class of q-fractional integral operator
Mohammad Momenzadeh, Nazim Mahmudov
We study the new class of q-fractional integral operator. In the aid of iterated Cauchy integral approach to fractional integral operator, we applied t^pf(t) instead of f(t) in the…
Unification of q-exponential function and related q-numbers and polynomials
N. I. Mahmudov, Mohammad Momenzadeh
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 for…
Approximation properties of q-Bernoulli polynomials
Mohammad Momenzadeh, Ibrahim Yusuf Kakangi
We study the q-analogue of Euler-Maclaurin formula and by introducing a new q-operator we drive to this form. Moreover, approximation properties of q-Bernoulli polynomials is discu…