On linear independence of the values of entire hypergeometric functions with irrational parameters

DOI10.1007/BF00971400zbMath0814.11039MaRDI QIDQ1335935

P. L. Ivankov

Publication date: 8 November 1994

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

zbMATH Keywords

linear independenceSiegel's methodquantitative resultsvalues of entire hypergeometric functions with irrational parameters

Mathematics Subject Classification ID

Transcendence theory of other special functions (11J91) Irrationality; linear independence over a field (11J72)

Related Items (9)

Unnamed Item ⋮ Arithmetic properties of the values of generalized hypergeometric series with polyadic transcendental parameters ⋮ On linear independence of differentiated with respect to parameter functions and their values ⋮ Transcendence of \(p\)-adic values of generalized hypergeometric series with transcendental polyadic parameters ⋮ The values of certain hypergeometric functions with irrational parameters ⋮ Arithmetic properties of Euler-type series with a Liouvillian polyadic parameter ⋮ Arithmetic properties of generalized hypergeometric \(F\)-series ⋮ On the linear independence of certain numbers ⋮ New problems in the theory of transcendental polyadic numbers

Cites Work

• Padé approximations to the generalized hypergeometric functions. I
• On some applications of diophantine approximations
• Some Theorems on Diophantine Approximation
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