9 citations · 76 across the 82 of their papers we have counts for
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An extension of a series containing Laguerre polynomials
A K Rathie, R B Paris
Expressions for the summation of the series involving the Laguerre polynomials \[S_m(\pmν, \pm p)\equiv e^{-x}\sum_{n=0}^\infty \frac{x^n\,L_n^{(ν)}(x)}{(1\pm ν\pm p)_n}\frac{(f+m)…
A note on a hypergeometric transformation formula due to Slater with an application
Y. S. Kim, A. K. Rathie, R. B. Paris
In this note we state (with minor corrections) and give an alternative proof of a very general hypergeometric transformation formula due to Slater. As an application, we obtain a n…
The Stokes phenomenon associated with the periodic zeta function
R B Paris
The exponentially improved large- expansion for the Hurwitz zeta function is exploited to examine the expansion of the periodic zeta function in the upper half…
Comments on "Exactification of Stirling's approximation for the logarithm of the gamma function"
R B Paris
We re-examine the exponentially improved expansion for $\log\,\g(z)$, first considered in Paris and Wood in 1991, to point out that the recent treatment by Kowalenko [Exactificatio…
On the asymptotic expansion of , Lagrange's inversion theorem and the Stirling coefficients
R. B. Paris
We show how the asymptotic expansion for the gamma function , similar to that obtained by Boyd [Proc. Roy. Soc. London A447 (1994) 609--630], can be obtained by using a form…
Generalization of a quadratic transformation due to Exton
Y S Kim, A K Rathie, R B Paris
Exton [Ganita 54(2003)13-15] obtained numerous new quadratic transformations involving hypergeometric functions of order two and of higher order by applying various known classical…