{"title":"一些Exton四重超几何函数的变换公式","authors":"Ahmed Ali Atash, Ala'a Mohammed Obad","doi":"10.12988/IJMA.2015.412400","DOIUrl":null,"url":null,"abstract":"In this paper certain transformation formulas for Exton’s quadruple hypergeometric functions ) , , ( 10 9 5 3 K and K K K are obtained. A number of a known and new reduction formulas for such other types of hypergeometric functions are shown as special cases of our main results.","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"20 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Transformation formulas for some Exton's quadruple hypergeometric functions\",\"authors\":\"Ahmed Ali Atash, Ala'a Mohammed Obad\",\"doi\":\"10.12988/IJMA.2015.412400\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper certain transformation formulas for Exton’s quadruple hypergeometric functions ) , , ( 10 9 5 3 K and K K K are obtained. A number of a known and new reduction formulas for such other types of hypergeometric functions are shown as special cases of our main results.\",\"PeriodicalId\":431531,\"journal\":{\"name\":\"International Journal of Mathematical Analysis\",\"volume\":\"20 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Mathematical Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/IJMA.2015.412400\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/IJMA.2015.412400","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
本文给出了Exton的四重超几何函数)、(10 9 5 3 K和K K K的若干变换公式。对于这类其他类型的超几何函数,给出了一些已知的和新的约简公式,作为我们主要结果的特例。
Transformation formulas for some Exton's quadruple hypergeometric functions
In this paper certain transformation formulas for Exton’s quadruple hypergeometric functions ) , , ( 10 9 5 3 K and K K K are obtained. A number of a known and new reduction formulas for such other types of hypergeometric functions are shown as special cases of our main results.