Asymptotics of a ₃F₂ hypergeometric function with four large parameters

2018/10/02 by R. B. Paris, Paris, R B
Mathematics · #33C05 #34E05 #41A60 #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1810.01134

openalex publication_date 2018/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the asymptotic behaviour of the generalised hypergeometric function \[₃F₂\bl( 1, (1+t)k/2, (1+t)k/2+1/2
tk+1, k+1 ; x\br), 0

Related

• The asymptotic expansion of the Humbert hyper-Bessel function
• Asymptotics of Saran's hypergeometric function F_K
• Expansions of ₄F₃ when the upper parameters differ by integers
• Asymptotic expansions of Kummer hypergeometric functions with three asymptotic parameters a, b and z
• Asymptotics of a ₃F₂ polynomial associated with the\n Catalan-Larcombe-French sequence