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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

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

A q-operational equation and the Rogers-Szegő polynomials: 《Science China Mathematics》2023年第6期1199-1216,共18页Zhiguo Liu; supported by National Natural Science Foundation of China (Grant No.11971173);Science and Technology Commission of Shanghai Municipality (Grant No.13dz2260400)。; By solving a q-operational equation with formal power series,we prove a new q-exponential operational identity.This operational identity reveals an essential feature of the Rogers-Szegő polynomials and enables us to d...; 关键词：Q-SERIES Q-DERIVATIVE q-operational equation q-exponential operator Rogers-Szegőpolynomial

On the existence and uniqueness of a nonlinear q-difference boundary value problem of fractional order: 《International Journal of Modeling, Simulation, and Scientific Computing》2022年第1期265-284,共20页Zouaoui Bekri Vedat Suat Erturk Pushpendra Kumar; In this research collection,we estimate the existence of the unique solution for the boundary value problem of nonlinear fractional q-difference equation having the given form c D^(ζ)_(q) v(t)−h(t,v(t))=0,0≤t≤1,α_...; 关键词：Fractional q-derivative principle of Banach contraction Leary-Schauder non-linear alternative existence and uniqueness boundary value problem

Fekete-Szeg Problems for Certain Classes of Meromorphic Functions Using q-Derivative Operator被引量：1: 《Journal of Mathematical Research with Applications》2018年第3期236-246,共11页Huo TANG H.M.ZAYED A.O.MOSTAFA M.K.AOUF; Supported by the National Natural Science Foundation of China(Grant Nos.11561001;11271045);the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region(Grant No.NJYT-18-A14);the Natural Science Foundation of Inner Mongolia(Grant Nos.2010MS0117;2014MS0101;2017MS0113);the Higher School Foundation of Inner Mongolia(Grant Nos.NJZY16251;NJZY17300;NJZY17301;NJZY18217);the Natural Science Foundation of Chifeng; In this paper, we introduce two subclasses Eq ＊（φ） and ∑＊q,a（φ） of meromorphic functions f（z） for which qzDqf（z）/f（z）〈φ （z） and-（1-a/q）qzDqf（z）＋azqDq[zDqf（z）]/（1-a/q）f（z）-azDqf（z）〈φ（...; 关键词：analytic function meromorphic function Fekete-Szego problem q-derivative operator q-Bessel function

Numerical Approximation of Quantum-Integrals Using the Appropriate Nodes and Weights: 《Applied Mathematics》2015年第6期958-966,共9页S. M. Hashemiparast D. A. Ghondaghsaz M. Maghasedi; In this paper, we present a procedure for the numerical q-calculation of the q-integrals based on appropriate nodes and weights which are determined such that the error of q-integration is mini-mized;a system of linea...; 关键词：q-Calculation Numerical Approximation q-Integration Q-DERIVATIVE

Symmetric q-Deformed KP Hierarchy被引量：2: 《Chinese Annals of Mathematics,Series B》2015年第1期1-10,共10页Kelei TIAN Jingsong HE Yucai SU; supported by the National Natural Science Foundation of China(Nos.11201451,11271210,11371278,11431010);the Erasmus Mundus Action 2 EXPERTS,the SMSTC grant(No.12XD1405000);Fundamental Research Funds for the Central Universities; Based on the analytic property of the symmetric q-exponent e_q(x),a new symmetric q-deformed Kadomtsev-Petviashvili(q-KP for short) hierarchy associated with the symmetric q-derivative operator α_q is constructed.Fur...; 关键词：Q-DERIVATIVE Symmetric q-KP hierarchy Additional symmetries

Approximation by Complex q-Durrmeyer Polynomials in Compact Disks: 《Acta Mathematicae Applicatae Sinica》2014年第1期65-74,共10页N.I.Mahmudov Vijay Gupta; In this paper, the order of approximation and Voronovskaja type results with quantitative estimate for complex q-Durrmeyer polynomials attached to analytic functions on compact disks are obtained.; 关键词：q-complex Durrmeyer polynomials q-integers q-derivatives Voronovskaja-type asymptotic for-mula

STANCU POLYNOMIALS BASED ON THE Q-INTEGERS: 《Analysis in Theory and Applications》2012年第3期232-241,共10页Xueyan Xiang; A new generalization of Stancu polynomials based on the q-integers and a nonnegative integer s is firstly introduced in this paper. Moreover, the shape-preserving and convergence properties of these polynomials are al...; 关键词：Stancu polynomial q-integer Q-DERIVATIVE shape-preserving property con-vergence rate modulus of continuity

Toeplitz and Translation Operators on the q-Fock Spaces被引量：1: 《Advances in Pure Mathematics》2011年第6期325-333,共9页Fethi Soltani; In this work, we introduce a class of Hilbert spaces Fq of entire functions on the disk , , with reproducing kernel given by the q-exponential function eq(z);and we prove some properties concerning Toeplitz operators ...; 关键词：q-Fock Spaces q-Exponential Function Q-DERIVATIVE Operator q-Translation OPERATORS q-Toeplitz OPERATORS q-Weyl Commutation Relations

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