Asymptotics of the generalized Gegenbauer functions of fractional degree

• Main Authors: Liu, Wenjie, Wang, Li-Lian
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2022
• Subjects: Science::Mathematics; Generalized Gegenbauer Functions of Fractional Degree; Asymptotic Analysis
• Online Access: https://hdl.handle.net/10356/154539
• Institution: Nanyang Technological University

The generalized Gegenbauer functions of fractional degree (GGF-Fs), denoted by rG (λ) ν (x) (right GGF-Fs) and lG (λ) ν (x) (left GGF-Fs) with x ∈ (−1, 1), λ > −1/2 and real ν ≥ 0, are special functions (usually non-polynomials), which are defined upon the hypergeometric representation of t...