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Ramanujan's master theorem for sturm liouville operator

机译:Ramanujan's master theorem for sturm liouville operator

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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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