Rahul Kumar

activity

20172022

most citedExtended higher Herglotz functions I. Functional equations

1 citations · 2 across the 13 of their papers we have counts for

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Showing 2018Show all

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math.CA2018

The generalized modified Bessel function $K_{z, w} (x)$ at $z = 1/2$ and Humbert functions

Rahul Kumar

Recently Dixit, Kesarwani, and Moll introduced a generalization $K_{z, w} (x)$ of the modified Bessel function $K_{z} (x)$ and showed that it satisfies an elegant theory similar to $K…

math.NT2018★ 1 cited

Generalized Lambert series, Raabe's integral and a two-parameter generalization of Ramanujan's formula for $ζ (2 m + 1)$

Atul Dixit, Rajat Gupta, Rahul Kumar +1

A comprehensive study of the generalized Lambert series $n = 1 \sum \infty \frac{n ^{N - 2 h} exp ( - a n ^{N} x )}{1 - exp ( - n ^{N} x )}, 0 < a \leq 1, x > 0$ , $N \in N$ and…

The generalized modified Bessel function Kz,w​(x) at z=1/2 and Humbert functions

Generalized Lambert series, Raabe's integral and a two-parameter generalization of Ramanujan's formula for ζ(2m+1)

The generalized modified Bessel function $K_{z, w} (x)$ at $z = 1/2$ and Humbert functions

Generalized Lambert series, Raabe's integral and a two-parameter generalization of Ramanujan's formula for $ζ (2 m + 1)$