Asymptotics of the Gauss hypergeometric function with large parameters, II

DOI10.7153/jca-03-01zbMath1412.33009OpenAlexW4255261845MaRDI QIDQ3120698

Richard B. Paris

Publication date: 5 March 2019

Published in: Journal of Classical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jca-03-01

zbMATH Keywords

asymptotic expansionhypergeometric functionslarge parameters

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Classical hypergeometric functions, ({}_2F_1) (33C05) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (11)

Asymptotic expansions of the hypergeometric function with two large parameters—application to the partition function of a lattice gas in a field of traps ⋮ Diagonalization of the finite Hilbert transform on two adjacent intervals: the Riemann-Hilbert approach ⋮ Contiguous relations, Laplace's methods, and continued fractions for \({}_3F_2(1)\) ⋮ The difference between two random mixed quantum states: exact and asymptotic spectral analysis ⋮ Testing in high-dimensional spiked models ⋮ An asymptotic expansion for a class of biorthogonal polynomials with respect to a measure on the unit circle ⋮ Asymptotic analysis via calculus of hypergeometric functions ⋮ Area propagator and boosted spin networks in loop quantum gravity ⋮ The hypergeometric function, the confluent hypergeometric function and WKB solutions ⋮ ASYMPTOTICS OF A GAUSS HYPERGEOMETRIC FUNCTION WITH TWO LARGE PARAMETERS: A NEW CASE ⋮ Asymptotics of the Gauss hypergeometric function with large parameters, I

Uses Software

• DLMF

Cites Work

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• Asymptotics of the Gauss hypergeometric function with large parameters, I

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