8 citations · 18 across the 18 of their papers we have counts for
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A derivation of two quadratic transformations contiguous to that of Gauss via a differential equation approach
M Swathi, A K Rathie, R B Paris
The purpose of this note is to provide an alternative proof of two quadratic transformation formulas contiguous to that of Gauss using a differential equation approach.
The expansion of a finite number of terms of the Gauss hypergeometric function of unit argument and the Landau constants
R. B. Paris
We obtain convergent inverse factorial expansions for the sum of the first terms of the Gauss hypergeometric function of unit argument valid for . The for…
On the asymptotics of a sequence of lacunary binomial-type polynomials
R. B. Paris
We examine the asymptotics of a sequence of lacunary binomial-type polynomials as that have arisen in the problem of the expected number of independ…
Exponential asymptotics of the Voigt functions
R B Paris
We obtain the asymptotic expansion of the Voigt functions and for large (real) values of the variables and , paying particular attention to the exponential…
An asymptotic expansion for the generalised quadratic Gauss sum revisited
R B Paris
An asymptotic expansion for the generalised quadratic Gauss sum where , are real and is a positive integer, is obtained…
On extensions of two results due to Ramanujan
Y. S. Kim, A. K. Rathie, R. B. Paris
The aim in this note is to provide a generalization of an interesting entry in Ramanujan's Notebooks that relate sums involving the derivatives of a function Phi(t) evaluated at 0…