Special values of fractional hypergeometric functions for function fields

DOI10.1016/j.crma.2012.10.002zbMath1264.11066OpenAlexW2032486640MaRDI QIDQ1759774

Jia-Yan Yao

Publication date: 22 November 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2012.10.002

zbMATH Keywords

function fieldhypergeometric function

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Transcendence theory of other special functions (11J91) Special functions in characteristic (p) (gamma functions, etc.) (33E50)

Related Items

Some hypergeometric functions in positive characteristic and transcendence

Cites Work

• Hypergeometric functions for function fields and transcendence
• Monodromy for the hypergeometric function \(_ nF_{n-1}\)
• Some transcendental functions over function fields with positive characteristic.
• Period mappings and differential equations. From \({\mathbb C}\) to \({\mathbb C}_p\). Tôhoku-Hokkaidô lectures in arithmetic geometry. With appendices: A: Rapid course in \(p\)-adic analysis by F. Kato, B: An overview of the theory of \(p\)-adic unifomization by F. Kato, C: \(p\)-adic symmetric domains and Totaro's theorem by N. Tsuzuki
• \(p\)-adic cycles
• Hypergeometric functions for function fields
• Evolution equations and functions of hypergeometric type over fields of positive characteristics
• Two types of function field transcendental numbers
• Transcendence in positive characteristic and special values of hypergeometric functions
• Hypergeometric Functions and Carlitz Differential Equations over Function Fields
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item