95 citations · 183 across the 31 of their papers we have counts for
35 papers
Complete Monotonicity of the function involving derivatives of Barnes G-function
Deepshikha Mishra, A. Swaminathan
In this manuscript, we present the complete monotonicity of functions defined in terms of the poly-double gamma function \begin{align*} ψ_2^{(n)}(x) = (-1)^{n+1} n! \sum_{k=0}^{\in…
Inequalities involving a Ramanujan Integral
Deepshikha Mishra, A. Swaminathan
In this manuscript, various properties of the Ramanujan integral , defined as \begin{align*} I_R(x) = \int_0^\infty e^{-xt} \dfrac{dt}{t(π^2 + \log^2 t)}, \quad x>0, \end{a…
Integral representation and functional inequalities involving generalized polylogarithm
Deepshikha Mishra, A. Swaminathan
The purpose of this manuscript is to derive two distinct integral representations of the generalized polylogarithm using two different techniques. The first approach involves the D…
Stability of the Toda equations related to a perturbed type recurrence relation
Vinay Shukla, A. Swaminathan
In this manuscript, a modified type recurrence relation is considered whose recurrence coefficients are perturbed by addition or multiplication of a constant. The perturbed s…
Orthogonality of quasi-nature spectral polynomials of Jacobi and Laguerre type
Vikash Kumar, A. Swaminathan
In this work, the explicit expressions of coefficients involved in quasi Christoffel polynomials of order one and quasi-Geronimus polynomials of order one are determined for Jacobi…
Recovering orthogonality from quasi-nature of Spectral transformations
Vikash Kumar, Francisco Marcellán, A. Swaminathan
In this contribution, quasi-orthogonality of polynomials generated by Geronimus and Uvarov transformations is analyzed. An attempt is made to discuss the recovery of the source ort…