{"title":"涉及函数与广义不完全超几何函数的积分","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":"{\"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}","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}
INTEGRAL INVOLVING ALEPH-FUNCTION AND THE GENERALIZED INCOMPLETE HYPERGEOMETRIC FUNCTION
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.