2025, Vol. 10, Issue 5, Part B
The product of two Hypergeometric Functions 1F1(x): Few special cases
Author(s): Bhadra Raj Tripathi
Abstract: The hypergeometric function is a special function
denoted as
2F
1 (a, b; c; z) arising in many areas such as
probability, combinatorics, and mathematical physics. It generalizes the
geometric series and satisfies a second-order linear differential equation. Its
power series converges for ?z?<1, with extensions possible through analytic
continuation. Products of hypergeometric functions appear in advanced
mathematical analysis, often in the context of summation identities, integral
transforms, or representation theory. These products can reveal deeper
symmetries and relationships between special functions and are instrumental in
solving complex problems in both pure and applied mathematics. Drawing on the
works of Poudel
et al., this work
aims to present special cases of the several product formulas involving two
generalized hypergeometric functions.
DOI: 10.22271/maths.2025.v10.i5b.2044Pages: 123-125 | Views: 923 | Downloads: 6Download Full Article: Click Here
How to cite this article:
Bhadra Raj Tripathi.
The product of two Hypergeometric Functions 1F1(x): Few special cases. Int J Stat Appl Math 2025;10(5):123-125. DOI:
10.22271/maths.2025.v10.i5b.2044
