arXiv subjects

Mohammad Momenzadeh

Publications and source records attributed to Mohammad Momenzadeh.

3 recordsLinked to original sources

arXiv2019

Study of new class of q-fractional integral operator

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 these integrals and with parameter p a new class of q-fractional integral operator is introduced. Recently the q-analogue of fractional differential integral operator is studied.[8][4][9][10][13][14]All of these operators are q-analogue of Riemann fractional differential operator. The new class of introduced operator generalize all these defined operator and can be cover the q-analogue of Hadamard fractional differential operator. Some properties of this operator is investigated.

math.GM↗

arXiv2018

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

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.

math.CV↗

arXiv2017

Approximation properties of q-Bernoulli polynomials

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 discussed. We estimate the suitable functions as a combination of truncated series of q-Bernoulli polynomials and the error is calculated. This paper can be helpful in two different branches, first solving differential equations by estimating functions and second we may apply these techniques for operator theory.

math.CA↗