8 citations · 9 across the 6 of their papers we have counts for
6 papers
Reflections on Euler's reflection formula and an additive analogue of Legendre's duplication formula
Ritesh Goenka, Gopala Krishna Srinivasan
In this note, we look at some of the less explored aspects of the gamma function. We provide a new proof of Euler's reflection formula and discuss its significance in the theory of…
Free groups, covering spaces and Artin's theorem
Gopala Krishna Srinivasan
In this expository note we provide a proof of Artin's theorem which states that the commutator subgroup of a free group on two generators is not finitely generated. The proof emplo…
The Exterior Derivative - A direct approach
Gopala Krishna Srinivasan
In this note we provide a direct approach to the most basic operator in this theory namely the exterior derivative. The crucial ingredient is a calculus lemma based on determinants…
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…
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…
The Radius of Convergence and the Well-Posedness of the Painlevé Expansions of the Korteweg-deVries equation
Nalini Joshi, Gopala K. Srinivasan
In this paper we obtain explicit lower bounds for the radius of convergence of the Painlevé expansions of the Korteweg-de-Vries equation around a movable singularity manifold ${\Ca…