On integral representations and asymptotics of some hypergeometric functions in two variables

DOI10.1080/10652469.2017.1404596zbMath1384.33029arXiv1707.06275OpenAlexW3099917021WikidataQ58203215 ScholiaQ58203215MaRDI QIDQ5374300

Malte Henkel, Sascha Wald

Publication date: 10 April 2018

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.06275

zbMATH Keywords

asymptoticsspecial functionsTauberian theoremmany-body quantum systemsHumbert functionhypergeometric functions in two variables

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Generalized hypergeometric series, ({}_pF_q) (33C20) Appell, Horn and Lauricella functions (33C65) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)

Related Items (5)

The Beta‐Pochhammer and its application to arbitrary threshold phase error probability of a vector in Gaussian noise ⋮ Dynamical off-equilibrium scaling across magnetic first-order phase transitions ⋮ Saigo-Maeda operators involving the Appell function, real spectra from symmetric quantum Hamiltonians and violation of the second law of thermodynamics for quantum damped oscillators ⋮ Lindblad dynamics of the quantum spherical model ⋮ The generalized modified Bessel function and its connection with Voigt line profile and Humbert functions

Uses Software

• DLMF

Cites Work

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