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 

机构地区：[1]Provincial Key Laboratory of Data-Intensive Computing,Key Laboratory of Intelligent Computing and Information Processing,School of Mathematics and Computer Science,Quanzhou Normal University,Quanzhou 362000,China [2]Department of Mathematics,Al-Aqsa University,Gaza,Gaza Strip,Palestine [3]Department of Mathematics,Faculty of Science,Assiut University,Assiut 71516,Egypt [4]Department of Mathematics,Unaizah College of Science and Arts,Unaizah 56264,Qassim University,Buraydah 52571,Qassim,Saudi Arabia

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2023年第4期614-630,共17页高校应用数学学报（英文版）（B辑）

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

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 given.The 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.

关 键 词：Q-CALCULUS bibasic Humbert hypergeometric functions Q-DERIVATIVE 

分 类 号：O174[理学—数学] O172[理学—基础数学]