Work

$q,\omega $-Tricomi expansions and exponential integral associated with Hahn difference operator

Year: 2025

Type: article

Abstract: In this paper, we introduce a $q,\omega $ q , ω -analog of Tricomi expansion based on Hahn’s difference operator. Some properties of $q,\omega $ q , ω -Tricomi expansion are derived and proved in terms of incomplete $q,\omega $ q , ω -gamma functions. Also, a $q,\omega $ q , ω -analog of the exponential integral is presented as a series expansion of incomplete $q,\omega $ q , ω -gamma functions and shown to be a limiting case of a $q,\omega $ q , ω -Tricomi expansion.

Source: Boundary Value Problems

DOI: 10.1186/s13661-025-02005-x

Author: Karima M. Oraby

Institution: Suez University

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,890

Funders: Science and Technology Development Fund, Suez University