{"title":"雅可比特性在劳里切拉函数 FD(N) 情况下的一般化","authors":"S. I. Bezrodnykh","doi":"10.1080/10652469.2024.2351396","DOIUrl":null,"url":null,"abstract":"The paper considers the issue of constructing differential relations for the Lauricella hypergeometric function FD(N). The formulas found give explicit expressions for the derivative of the product...","PeriodicalId":54972,"journal":{"name":"Integral Transforms and Special Functions","volume":"138 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Generalizations of the Jacobi identity to the case of the Lauricella function FD(N)\",\"authors\":\"S. I. Bezrodnykh\",\"doi\":\"10.1080/10652469.2024.2351396\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper considers the issue of constructing differential relations for the Lauricella hypergeometric function FD(N). The formulas found give explicit expressions for the derivative of the product...\",\"PeriodicalId\":54972,\"journal\":{\"name\":\"Integral Transforms and Special Functions\",\"volume\":\"138 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2024-05-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Integral Transforms and Special Functions\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/10652469.2024.2351396\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Integral Transforms and Special Functions","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/10652469.2024.2351396","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
Generalizations of the Jacobi identity to the case of the Lauricella function FD(N)
The paper considers the issue of constructing differential relations for the Lauricella hypergeometric function FD(N). The formulas found give explicit expressions for the derivative of the product...
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Integral Transforms and Special Functions belongs to the basic subjects of mathematical analysis, the theory of differential and integral equations, approximation theory, and to many other areas of pure and applied mathematics. Although centuries old, these subjects are under intense development, for use in pure and applied mathematics, physics, engineering and computer science. This stimulates continuous interest for researchers in these fields. The aim of Integral Transforms and Special Functions is to foster further growth by providing a means for the publication of important research on all aspects of the subjects.
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