Hypergeometric Function Identities and Their Applications

1., 2012
ISBN: 978-0-387-98648-7
Verlag: Springer-Verlag New York

Buch, Englisch, 250 Seiten, GB, Format (B × H): 155 mm x 235 mm

Reihe: Springer Monographs in Mathematics

Zielgruppe

Research

Autoren/Hrsg.

Chudnovsky, David

Chudnovsky, Gregory

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Geometrie der modernen Physik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

* Preface * Introduction by R. Askey * Hypergeometric and generalized hypergeometric functions in one and many variables * Classical hypergeometric function identities - functional theoretic and combinatorial interpretation. q-basic series * Evaluation of hypergeometric functions at special values - \Gamma - factors and period relations * Reducible cases of hypergeometric equations * Applications of the Lagrange inversion formula * Padé approximations to hypergeometric functions as hypergeometric polynomials * Special hypergeometric functions - polylogarithms and other functions * Diophantine approximations and measures of irrationality * Hypergeometric function evaluation and calculation - physics and applied mathematics * Appendix by W. Gosper. Hypergeometric identities * References