Hypergeometric Functions and Carlitz Differential Equations over Function Fields

DOI10.1007/978-3-7643-8284-1_6zbMath1211.12008arXivmath/0504007OpenAlexW2110934788MaRDI QIDQ3595653

Anatoly N. Kochubei

Publication date: 28 August 2007

Published in: Arithmetic and Geometry Around Hypergeometric Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504007

zbMATH Keywords

umbral calculusholonomic modulesFunction fieldsdifferential equations with Carlitz derivativeThakur's hypergeometric function

Mathematics Subject Classification ID

Umbral calculus (05A40) Sheaves of differential operators and their modules, (D)-modules (32C38) Drinfel'd modules; higher-dimensional motives, etc. (11G09) (p)-adic differential equations (12H25) Special functions in characteristic (p) (gamma functions, etc.) (33E50)

Related Items (2)

Special values of fractional hypergeometric functions for function fields ⋮ Logarithmic-type and exponential-type hypergeometric functions for function fields

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