This article is cited in 14 papers

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

P. L. Ivankov


Abstract: With the help of an analog of Ziegel's method we construct joint approximations to a collection of values of hypergeometric functions with parameters in imaginary square field. The construction allows us to solve the question of linear independence Of values of such functions and in one particular case to establish a similar result for the case of a real square field. The corresponding quantitative results are obtained.

UDC: 511.361

Received: 05.11.1992

 English version: Siberian Mathematical Journal, 1993, 34:5, 839–847

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