1 citations · 1 across the 9 of their papers we have counts for
Showing math.NTShow all
3 papers · 1 filter
math.NT2022
Type-(I,II) Interpolations and some asymptotic expansions using Ramanujan's master theorem
Omprakash Atale
The theory of Mellin transform is an incredibly useful tool in evaluating some of the well known results for the zeta function. Ramanujan in his quarterly reports \cite{1} gave a t…
math.NT2022
Analytic expressions for some Mellin transforms with their application to prime counting function and interpolation formulas for the zeta function
Omprakash Atale
The aim of our present work here is to present few results in the theory of Mellin transforms using the method that S. Ramanujan used in proving his Master Theorem. Further applica…
math.NT2021
On certain extensions of Ramanujan's Master Theorem and their applications
Omprakash Atale, Mahendra Shirude
S. Ramanujan introduced a technique in 1913 for providing analytic expressions for certain Mellin-type integrals which is now known as Ramanujan's Master Theorem. This technique wa…