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.
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页码：555 / 593
页数：39
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