This article is cited in 5 papers

Simultaneous Approximations with Regard to the Specific Character of the Homogeneous Case

P. L. Ivankov

N. E. Bauman Moscow State Technical University

Abstract: In this paper we construct simultaneous approximations of generalized hypergeometric functions with irrational parameters satisfying homogeneous differential equations. This construction is applied to the study of the arithmetical nature of the values of such functions.

UDC: 511.361

Received: 24.10.2000

DOI: 10.4213/mzm354

 English version: Mathematical Notes, 2002, 71:3, 355–361

Bibliographic databases:

• 
• 
• 
•