Q-CALCULUS

作品数：7被引量：2H指数：1
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Partial sums of generalized harmonic starlike univalent functions generated by a (p,q)−Ruscheweyh-type harmonic differential operator
《Applied Mathematics(A Journal of Chinese Universities)》2024年第4期584-595,共12页Om P Ahuja Asena Cetinkaya Raj Kumar 
Let H denote the class of complex-valued harmonic functions f defined in the open unit disc D and normalized by f(0)=fz(0)-1=0.In this paper,we define a new generalized subclass of H associated with the(p,q)-Ruschewey...
关键词：(p q)-calculus (p q)-derivative operator Q-CALCULUS q-derivative operator (p q)-Ruscheweyhtype harmonic differential operator partial sums coefficient estimate 
An extensive analytical and numerical study of the generalized q-deformed Sinh-Gordon equation
《Journal of Ocean Engineering and Science》2024年第3期232-239,共8页Khalid K.Ali Abdel-Haleem Abdel-Aty 
In this paper,the q-deformed Sinh-Gordon equation is solved analytically using a new general form based on the extended tanh approach.The numerical solutions of the equation is obtained using a b-spline finite element...
关键词：q-Deformed equation Solitos solutions The extended tanh method Finite element method Q-CALCULUS 
On some properties of the bibasic Humbert hypergeometric functions Ξ_(1) and Ξ_(2)
《Applied Mathematics(A Journal of Chinese Universities)》2023年第4期614-630,共17页CAI Qing-bo Ghazi S.Khammash Shimaa I.Moustafa Ayman Shehata 
Supported by the National Natural Science Foundation of China(11601266);the Natural Science Foundation of Fujian Province of China(2020J01783)。
The main object of this paper is to deduce the bibasic Humbert functions Ξ_(1) and Ξ_(2)Some interesting results and elementary summations technique that was successfully employed,q-recursion,q-derivatives relations...
关键词：Q-CALCULUS bibasic Humbert hypergeometric functions Q-DERIVATIVE 
(p,q)-Analogue of Mittag-Leffler Function with(p,q)-Laplace Transform
《Analysis in Theory and Applications》2022年第3期351-360,共10页Alok Jain Altaf Ahmad Bhat Renu Jain Deepak Kumar Jain 
The aim of this paper is to define(p,q)-analogue of Mittag-Leffler Function,by using(p,q)-Gamma function.Some transformation formulae are also derived by using the(p,q)-derivative.The(p,q)-analogue for this function p...
关键词：(p q)-analogue of Mittag-Leffler function (p q)-Gamma function Q-CALCULUS (p q)-derivative operator (p q)-Laplace transform 
Note on a New Construction of Kantorovich Form q-Bernstein Operators Related to Shape Parameter λ被引量：1
《Computer Modeling in Engineering & Sciences》2022年第3期1479-1493,共15页Qingbo Cai Resat Aslan 
This work is supported by the Natural Science Foundation of Fujian Province of China(Grant No.2020J01783);the Project for High-Level Talent Innovation and Entrepreneurship of Quanzhou(Grant No.2018C087R);the Program for New Century Excellent Talents in Fujian Province University.
The main purpose of this paper is to introduce some approximation properties of a Kantorovich kind q-Bernstein operators related to B′ezier basis functions with shape parameterλ∈[−1,1].Firstly,we compute some basic...
关键词：Q-CALCULUS (λ q)-Bernstein polynomials order of convergence Lipschitz-type function Peetre’s K-functional 
On <i>q</i>-Deformed Calculus in Quantum Geometry
《Applied Mathematics》2014年第10期1586-1593,共8页Olaniyi S. Maliki Emmanuel I. Ugwu 
The relation between noncommutative (or quantum) geometry and themathematics of spacesis in many ways similar to the relation between quantum physicsand classical physics. One moves from the commutative algebra of fun...
关键词：Quantum Geometry q-Numbers q-Factorials Q-CALCULUS 
APPROXIMATION PROPERTIES OF rth ORDER GENERALIZED BERNSTEIN POLYNOMIALS BASED ON q-CALCULUS被引量：1
《Analysis in Theory and Applications》2011年第1期40-50,共11页Honey Sharma 
In this paper we introduce a generalization of Bernstein polynomials based on q calculus. With the help of Bohman-Korovkin type theorem, we obtain A-statistical approximation properties of these operators. Also, by us...
关键词：q- integers q-Bernstein polynomials A-statistical convergence modulus ofcontinuity Lipschitz class Peetre＇s type K-functional 
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