The Behavior at Unit Argument of the Hypergeometric Function ${}_3 F_2 $

DOI10.1137/0518089zbMath0619.33002OpenAlexW2016385413MaRDI QIDQ3755765

Bühring, Wolfgang

Publication date: 1987

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0518089

zbMATH Keywords

hypergeometric differential equations

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Classical hypergeometric functions, ({}_2F_1) (33C05) Ordinary differential equations in the complex domain (34M99) Analytic continuation of functions of one complex variable (30B40)

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Hypergeometric differential equation and new identities for the coefficients of Nørlund and Bühring ⋮ Hypergeometric functions at unit argument: simple derivation of old and new identities ⋮ Closed-form formulae for inflation correlators ⋮ Acceleration of generalized hypergeometric functions through precise remainder asymptotics ⋮ Lorentzian inversion and anomalous dimensions in Mellin space ⋮ Convergence acceleration via combined nonlinear-condensation transformations ⋮ The Fox-Wright function near the singularity and the branch cut ⋮ The Seiberg-Witten Kähler potential as a two-sphere partition function

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