Ramanujan’s master theorem for sturm liouville operator

In this paper we prove an analogue of the Ramanujan’s master theorem in the setting of Sturm Liouville operator L=d2dt2+A′(t)A(t)ddt,on (0 , ∞) , where A(t)=(sinht)2α+1(cosht)2β+1B(t);α,β>-12 with suitable conditions on B. When B≡ 1 we get back the Ramanujan’s Master theorem for the Jacobi operator.