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math.CA2012
A unified approach to the integrals of Mellin--Barnes--Hecke type
Gopala Krishna Srinivasan
In this paper we provide a unified approach to a family of integrals of Mellin--Barnes type using distribution theory and Fourier transforms. Interesting features arise in many of…
math.CA2012
On a remarkable formula of Ramanujan
Debraj Chakrabarti, Gopala Krishna Srinivasan
A simple proof of Ramanujan's formula for the Fourier transform of the square of the modulus of the Gamma function restricted to a vertical line in the right half-plane is given. T…