This article is cited in 2 papers

On the values of some functions satisfying homogeneous differential equations

P. L. Ivankov

N. E. Bauman Moscow State Technical University

Abstract: In this paper we consider hypergeometric functions and their derivatives (including with respect to parameter). By means of a new construction of homogeneous simultaneous approximations low estimate of the modulus of linear form in the values of such functions is obtained.

Keywords: Padé approximations of the second type, generalized hypergeometric functions, differentiation with respect to parameter, low estimates of linear forms.

UDC: 511.361

Received: 21.05.2013