{"title":"On Bibasic Humbert Hypergeometric Function Φ1","authors":"A. AL E’damat, A. Shehata","doi":"10.47836/mjms.17.1.07","DOIUrl":null,"url":null,"abstract":"The main aim of this work is to derive the q-recurrence relations, q-partial derivative relations and summation formula of bibasic Humbert hypergeometric function Φ1 on two independent bases q and q1 of two variables and some developments formulae, believed to be new, by using the conception of q-calculus.","PeriodicalId":43645,"journal":{"name":"Malaysian Journal of Mathematical Sciences","volume":" ","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Malaysian Journal of Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47836/mjms.17.1.07","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
The main aim of this work is to derive the q-recurrence relations, q-partial derivative relations and summation formula of bibasic Humbert hypergeometric function Φ1 on two independent bases q and q1 of two variables and some developments formulae, believed to be new, by using the conception of q-calculus.
期刊介绍：
The Research Bulletin of Institute for Mathematical Research (MathDigest) publishes light expository articles on mathematical sciences and research abstracts. It is published twice yearly by the Institute for Mathematical Research, Universiti Putra Malaysia. MathDigest is targeted at mathematically informed general readers on research of interest to the Institute. Articles are sought by invitation to the members, visitors and friends of the Institute. MathDigest also includes abstracts of thesis by postgraduate students of the Institute.
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