Q-INTEGRAL

作品数：5被引量：10H指数：2
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ON THE FINITE MELLIN TRANSFORM IN QUANTUM CALCULUS AND APPLICATION被引量：2
《Acta Mathematica Scientia》2018年第4期1393-1410,共18页Bochra NEFZI Kamel BRAHIM Ahmed FITOUHI 
The aim of the present paper is to introduce and study a new type of q-Mellin transform [11], that will be called q-finite Mellin transform. In particular, we prove for this new transform an inversion formula and q-co...
关键词：q-Mellin transform finite Mellin transform fractional q-integral fractionalq-differential equation 
A Kind of Identities for Products Reciprocals of q-binomial Coefficients被引量：5
《Chinese Quarterly Journal of Mathematics》2014年第4期573-582,共10页YANG Ji-zhen WANG Yun-peng 
Supported by the National Natural Science Foundation of China（10771093）; Supported by the Youth Foundation of Luoyang Normal College（2013-QNJJ-001）; Supported by the Youth Foundation of the Luoyang Institute of Science and Technology（2012QZ05）
The purpose of this paper is to establish some identities with products of qHermite polynomials, q-ultraspherical polynomials and reciprocals of q-binomial coefficients.
关键词：q-gamma function q-beta function Q-INTEGRAL q-binomial coefficients 
A Study on New q-Integral Inequalities被引量：1
《Applied Mathematics》2011年第4期465-469,共5页Waad T. Sulaiman 
A q-analog, also called a q-extension or q-generalization is a mathematical expression parameterized by a quantity q that generalized a known expression and reduces to the known expression in the limit . There are q-a...
关键词：Q-INTEGRAL Inequlalities INTEGRAL INEQUALITIES 
New Types of Q-Integral Inequalities
《Advances in Pure Mathematics》2011年第3期77-80,共4页Waadallah T. Sulaiman 
Several new q-integral inequalities are presented. Some of them are new, One concerning double integrals, and others are generalizations of results of Miao and Qi [1]. A new key lemma is proved as well.
关键词：Q-INTEGRAL INEQUALITIES 
A Generalization of the Concept of q-fractional Integrals被引量：2
《Acta Mathematica Sinica,English Series》2009年第10期1635-1646,共12页Predrag M.RAJKOVIC Sladjana D.MARINKOVIC Miomir S.STANKOVIC 
Supported by Ministry of Science,Technology and Development of Republic Serbia (Grant Nos.144023 and 144013)
In this paper, we consider the fractional q-integral with variable lower limit of integration. We prove the semigroup property of these integrals, and a formula of Leibniz type. Finally, we evaluate fractional q-integ...
关键词：basic hypergeometric functions Q-INTEGRAL Q-DERIVATIVE fractional integrals Mittag-Leffler function 
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