Umbral techniques to integral equations for Sheffer-Bessel functions
Abstract
In this article, we investigate the analytical and theoretical framework of a hybrid type of families of certain special functions using an umbral reformulation with particular emphasis on Sheffer-Bessel functions. This approach builds upon recent progress in the formal study of higher transcendental functions, enabling the development of novel and meaningful generalizations. By applying this framework to Sheffer-Bessel functions, we aim to deepen their theoretical understanding and broaden their scope. In addition, we derive integral identities and analyze the graphical representations associated with these functions.
Fields of Study & Subjects
Analytic and geometric function theory
Holomorphic and Operator Theory
Differential Equations and Boundary Problems
Publication details
- Journal / source
- Integral Transforms and Special Functions
- Publisher
- Informa UK Limited
- Pages
- 1–16
- Publication date
- 18 May 2026
- Language
- EN