{"title":"INTEGRAL INVOLVING ALEPH-FUNCTION AND THE GENERALIZED INCOMPLETE HYPERGEOMETRIC FUNCTION","authors":"D. Kumar, F. Ayant, Faruk Uçar","doi":"10.26837/JAEM.572066","DOIUrl":null,"url":null,"abstract":"The aim of this paper is to establish a general de finite integrals involving product of the Aleph function and generalized incomplete hypergeometric function with general arguments. Being unifi ed and general in nature, this integral yields a number of known and new results as special cases. For the sake of illustration, several corollaries are also recorded here as special case of our main results.","PeriodicalId":44094,"journal":{"name":"TWMS Journal of Applied and Engineering Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2019-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"TWMS Journal of Applied and Engineering Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26837/JAEM.572066","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 1
Abstract
The aim of this paper is to establish a general de finite integrals involving product of the Aleph function and generalized incomplete hypergeometric function with general arguments. Being unifi ed and general in nature, this integral yields a number of known and new results as special cases. For the sake of illustration, several corollaries are also recorded here as special case of our main results.