24 citations · 93 across the 14 of their papers we have counts for
13 papers · 1 filter
CDF of non-central distribution revisited. Incomplete hypergeometric type functions approach
Dragana Jankov Maširević, Tibor K. Pogány
The cumulative distribution function of the non-central chi-square distribution possesses an integral representation in terms of a generalized Marcu…
On --extended Mathieu series
Tibor K. Pogány, Rakesh K. Parmar
Motivated by several generalizations of the well--known Mathieu series, the main object of this paper is to introduce new extension of generalized Mathieu series and to derive vari…
Mathieu-type series built by -extended Gaussian hypergeometric function
Junesang Choi, Rakesh K. Parmar, Tibor K. Pogány
The main purpose of this paper is to present closed integral form expressions for the Mathieu-type -series and its associated alternating version whose terms contain…
A fresh approach to classical Eisenstein series and the newer Hilbert-Eisenstein series
Paul L. Butzer, Tibor K. Pogány
This paper is concerned with new results for the circular Eisenstein series as well as with a novel approach to Hilbert-Eisenstein series , int…
Zeros of Bessel function derivatives
Árpád Baricz, Chrysi G. Kokologiannaki, Tibor K. Pogány
We prove that for all zeros of the th derivative of Bessel function of the first kind are real and simple. Moreover, we show that the positive zeros of the th a…
Feynman integral in and complex expansion of
Mykola A. Shpot, Tibor K. Pogány
Closed form expressions are proposed for the Feynman integral $$ I_{D, m}(p,q) = \int\frac{d^my}{(2π)^m}\int\frac{d^Dx}{(2π)^D} \frac1{(x-p/2)^2+(y-q/2)^4} \frac1{(x+p/2)^2+(y+q/2)…