2 papers
math.GM2026
Extensions of several famous combinatorial identities via hypergeometric functions
Arjun Kumar Rathie, Feng Qi, Dongkyu Lim
The objective of this paper is to develop an extension of Kummer's second theorem and to establish generalized forms of four classical combinatorial identities---Knuth's old sum (a…
math.CA2024
On the Distributions of Product and Quotient of two Independent -function variates
Vilma D'Souza, Shantha Kumari Kurumujji, Arjun K. Rathie
The study of probability distributions for random variables and their algebraic combinations has been a central focus driving the advancement of probability and statistics. Since t…