Holomorphic and Singular Solutions of q-Difference-Differential Equations of the Gérard-Tahara Type
Year: 2025
Type: article
Abstract: In 1993, Gérard-Tahara introduced the Fuchs (Gérard-Tahara) type partial differential equation, and they determined the structure of holomorphic and singular solutions provided that the characteristic exponents satisfy some conditions. In this paper the author shows existences of holomorphic and singular solutions of difference-differential equations where the time variable derivative is replaced by q-difference operator.
Source: Funkcialaj Ekvacioj
DOI: 10.1619/fesi.68.309
Author: Hiroshi Yamazawa
Institution: Shibaura Institute of Technology
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7114909434