Omprakash Atale

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20212024

most citedA Generalized Ramanujan Master Theorem and Integral Representation of Meromorphic Functions

1 citations · 1 across the 9 of their papers we have counts for

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math.GM2024

Functional equation for Mellin transform of Fourier series associated with modular forms

Omprakash Atale

Let $X_{1} (s)$ and $X_{2} (s)$ denote the Mellin transforms of $χ_{1} (x)$ and $χ_{2} (x)$ , respectively. Ramanujan investigated the functions $χ_{1} (x)$ and $χ_{2} (x)$ that satisfy the funct…

math.GM2024

On Finite Mellin Transform via Ramanujan's Master Theorem

Omprakash Atale

This paper aims to show that by making use of Ramanujan's Master Theorem and the properties of the lower incomplete gamma function, it is possible to construct a finite Mellin tran…

math.GM2022

Galois connections and isomorphism of simultaneous ordered relations

Omprakash Atale

In order theory, partially ordered sets are only equipped with one relation which decides the entire structure/Hasse diagram of the set. In this paper, we have presented how partia…