Year: 2024
Type: preprint
Abstract: In this paper, we introduce two distinct discrete forms of Appell function $F_2$. We determine their convergence domains, integral representations as well as difference-differential equations that are satisfied by these discrete analogues of $F_2$. We have also obtained the difference-differential formulas, finite and infinite summation formulas, and a complete list of difference-differential recursion relations obeyed by these discrete functions.
Source: arXiv (Cornell University)
Authors: Dwivedi, Ravi, Sahai, Vivek
Institution: University of Lucknow
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4390897647