INVERSE FACTORIAL-SERIES SOLUTIONS OF DIFFERENCE EQUATIONS

DOI10.1017/S0013091503000609zbMath1072.39009MaRDI QIDQ4650693

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Publication date: 18 February 2005

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

hypergeometric functionsBorel transformasymptotic expansionssecond-order linear difference equationfactorial seriesexponentially improved asymptotics

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (7)

Summation of divergent power series by means of factorial series ⋮ Stokes phenomena in discrete Painlevé II ⋮ An inverse factorial series for a general gamma ratio and related properties of the Nørlund-Bernoulli polynomials ⋮ Hyperasymptotics and hyperterminants: exceptional cases ⋮ Large-Parameter Asymptotic Expansions for the Legendre and Allied Functions ⋮ Nonlinear q-Stokes phenomena for q-Painlevé I ⋮ Capturing the cascade: a transseries approach to delayed bifurcations

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