Hypergeometric functions for function fields

DOI10.1006/ffta.1995.1017zbMath0838.11043OpenAlexW2060193645MaRDI QIDQ1891285

Dinesh S. Thakur

Publication date: 3 June 1996

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.1995.1017

zbMATH Keywords

Carlitz exponentialPochhammer symbolsarithmetic hypergeometric functionsCarlitz functional equationgeometric extensionsgeometric hypergeometric functions

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Hypergeometric functions (33C99)

Related Items (10)

Quasi-holonomic modules in positive characteristic ⋮ Some hypergeometric functions in positive characteristic and transcendence ⋮ Special values of fractional hypergeometric functions for function fields ⋮ Hypergeometric functions for function fields and transcendence ⋮ Transcendence in positive characteristic and special values of hypergeometric functions ⋮ Logarithmic-type and exponential-type hypergeometric functions for function fields ⋮ Differential equations for \({\mathbb F}_q\)-linear functions ⋮ \(\mathbb{F}_q\)-linear calculus over function fields ⋮ Field equations and radial solutions in a noncommutative spherically symmetric geometry ⋮ Differential equations for \(\mathbb F_q\)-linear functions. II: Regular singularity.

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