On linear independence of differentiated with respect to parameter functions and their values

DOI10.3103/S1066369X19090032zbMath1445.11071OpenAlexW2985695141MaRDI QIDQ2191547

P. L. Ivankov

Publication date: 25 June 2020

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x19090032

zbMATH Keywords

hypergeometric functionlinear independencedifferentiation with respect to parameter

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Generalized hypergeometric series, ({}_pF_q) (33C20) Irrationality; linear independence over a field (11J72)

Cites Work

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• Linear independence and transcendence of values of hypergeometric functions
• On the differentiation of a hypergeometric function with respect to the parameter
• On linear independence of the values of entire hypergeometric functions with irrational parameters
• Refinement of estimates for some nonhomogeneous linear forms
• Transcendence and algebraic independence of the values of E-functions of one class
• ON ARITHMETIC PROPERTIES OF THE VALUES OF HYPERGEOMETRIC FUNCTIONS
• On the algebraic independence of the values of some E-functions

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