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

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

Abstract In this paper, we introduce a q , ω $q,\omega $ -analog of Tricomi expansion based on Hahn’s difference operator. Some properties of q , ω $q,\omega $ -Tricomi expansion are derived and proved in terms of incomplete q , ω $q,\omega $ -gamma functions. Also, a q , ω $q,\omega $ -analog of th...

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Bibliographic Details
Main Author: Karima M. Oraby
Format: Article
Language:English
Published: SpringerOpen 2025-02-01
Series:Boundary Value Problems
Subjects:
Tricomi expansion
Exponential integral
Incomplete q , ω $q,\omega $ -gamma function
Hahn difference operator D q , ω $D_{q,\omega}$
Online Access:https://doi.org/10.1186/s13661-025-02005-x
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Summary:Abstract In this paper, we introduce a q , ω $q,\omega $ -analog of Tricomi expansion based on Hahn’s difference operator. Some properties of q , ω $q,\omega $ -Tricomi expansion are derived and proved in terms of incomplete q , ω $q,\omega $ -gamma functions. Also, a q , ω $q,\omega $ -analog of the exponential integral is presented as a series expansion of incomplete q , ω $q,\omega $ -gamma functions and shown to be a limiting case of a q , ω $q,\omega $ -Tricomi expansion.
ISSN:1687-2770

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