On some properties of the bibasic Humbert hypergeometric functions Ξ_(1) and Ξ_(2)

作     者：CAI Qing-bo Ghazi S.Khammash Shimaa I.Moustafa Ayman Shehata CAI Qing-bo;Ghazi S.Khammash;Shimaa I.Moustafa;Ayman Shehata

作者机构：Provincial Key Laboratory of Data-Intensive ComputingKey Laboratory of Intelligent Computing and Information ProcessingSchool of Mathematics and Computer ScienceQuanzhou Normal UniversityQuanzhou 362000China Department of MathematicsAl-Aqsa UniversityGazaGaza StripPalestine Department of MathematicsFaculty of ScienceAssiut UniversityAssiut 71516Egypt Department of MathematicsUnaizah College of Science and ArtsUnaizah 56264Qassim UniversityBuraydah 52571QassimSaudi Arabia 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2023年第38卷第4期

页      面：614-630页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the National Natural Science Foundation of China(11601266) the Natural Science Foundation of Fujian Province of China(2020J01783) 

主　　题：q-calculus bibasic Humbert hypergeometric functions q-derivative 

摘      要：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,the q-differential recursion relations,the q-integral representations for Ξ_(1) and Ξ_(2)are *** summation formula derives a list of p-analogues of transformation formulas for bibasic Humbert functions that have been studied,also some hypergeometric functions properties of some new interesting special cases have been given.