On the Whittaker Function Extended by the Fox–Wright Function and Its Properties
Abstract
This paper aims to obtain the Ψηξ-extended Whittaker function and its integral representations. This function is defined by using the Ψηξ-confluent hypergeometric function, which was recently extended in terms of the Fox–Wright function. Furthermore, we discuss properties including a transformation formula, integral transforms (Laplace–Mellin and Hankel transforms), and a differential formula. Our results provide a unified framework for several known generalizations of the Whittaker function and highlight potential applications in applied mathematics and theoretical physics.
Fields of Study & Subjects
Mathematical functions and polynomials
Advanced Mathematical Identities
Quantum Mechanics and Non-Hermitian Physics
Publication details
- Journal / source
- Mathematics
- Publisher
- MDPI AG
- Volume
- 14
- Issue
- 2
- Pages
- 273–273
- Publication date
- 11 January 2026
- Language
- EN