On the measure of linear and algebraic independence for values of entire hypergeometric functions

DOI10.1007/BF02355735zbMATH Open0920.11046OpenAlexW2059601320MaRDI QIDQ1274053

Wadim Zudilin

Publication date: 23 March 1999

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02355735

zbMATH Keywords

generalized hypergeometric functionsmeasures of linear independenceGalois groups of linear differential equationsmeasures of transcendence

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Measures of irrationality and of transcendence (11J82) Differential algebra (12H05)

Related Items (4)

Algebraic independence of certain entire functions of two variables generated by linear recurrences ⋮ Algebraic independence of the Carlitz period and its hyperderivatives ⋮ Differential equations with 2-term recursion ⋮ Unnamed Item

Recommendations

• Unnamed Item 👍 👎
• On the algebraic independence of values of generalized hypergeometric functions 👍 👎
• Linear independence and transcendence of values of hypergeometric functions 👍 👎
• Algebraic and linear independence of values of certain classes of entire functions 👍 👎
• Linear independence of values of some hypergeometric functions 👍 👎
• On algebraic independence of values of hypergeometric \(E\)-functions, satisfying linear nonhomogeneous differential equations 👍 👎
• On linear independence of the values of entire hypergeometric functions with irrational parameters 👍 👎
• Algebraic independence of values of a certain class of hypergeometric functions 👍 👎
• Measures of linear independence of values of entire transcendental solutions of certain functional equations 👍 👎
• On the algebraic independence of the values of hypergeometricE-functions 👍 👎

This page was built for publication: On the measure of linear and algebraic independence for values of entire hypergeometric functions