Ramanujan's master theorem for sturm liouville operator

被引：0

作者：

Jotsaroop, K. ^{[1
]}

Pusti, Sanjoy ^{[2
]}

机构：

[1] Indian Inst Sci Educ & Res, Dept Math, Mohali, India

[2] Indian Inst Technol, Dept Math, Bombay, Maharashtra, India

来源：

MONATSHEFTE FUR MATHEMATIK | 2022年 / 199卷 / 03期

关键词：

Ramanujan's master theorem; Compact dual; Sturm Liouville operator;

D O I：

10.1007/s00605-022-01769-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove an analogue of the Ramanujan's master theorem in the setting of Sturm Liouville operator L = d(2)/dt(2) + A'(t)/A(t) d/dt, on (0,infinity), where A(t) = (sinh t)(2 alpha+1)(cosh t)B2 beta+1(t); alpha beta > - 1/2 with suitable conditions on B. When B = 1 we get back the Ramanujan's Master theorem for the Jacobi operator.

引用

页码：555 / 593

页数：39

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