О значениях продифференцированных по параметру гипергеометрических функций
Čebyševskij sbornik, Tome 13 (2012) no. 2, pp. 64-70
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In this paper we consider linear independence of the values of hypergeometric functions with irrational parameter; some of these functions are differentiated with respect to parameter. The corresponding theorem is proved by means of the effective construction of Padé approximation for such functions.
Keywords:
hypergeometric functions, differentiation with respect to parameter, linear independence of the values, irrational parameters.
@article{CHEB_2012_13_2_a8,
author = {P. L. Ivankov},
title = {{\CYRO} {\cyrz}{\cyrn}{\cyra}{\cyrch}{\cyre}{\cyrn}{\cyri}{\cyrya}{\cyrh} {\cyrp}{\cyrr}{\cyro}{\cyrd}{\cyri}{\cyrf}{\cyrf}{\cyre}{\cyrr}{\cyre}{\cyrn}{\cyrc}{\cyri}{\cyrr}{\cyro}{\cyrv}{\cyra}{\cyrn}{\cyrn}{\cyrery}{\cyrh} {\cyrp}{\cyro} {\cyrp}{\cyra}{\cyrr}{\cyra}{\cyrm}{\cyre}{\cyrt}{\cyrr}{\cyru} {\cyrg}{\cyri}{\cyrp}{\cyre}{\cyrr}{\cyrg}{\cyre}{\cyro}{\cyrm}{\cyre}{\cyrt}{\cyrr}{\cyri}{\cyrch}{\cyre}{\cyrs}{\cyrk}{\cyri}{\cyrh} {\cyrf}{\cyru}{\cyrn}{\cyrk}{\cyrc}{\cyri}{\cyrishrt}},
journal = {\v{C}eby\v{s}evskij sbornik},
pages = {64--70},
publisher = {mathdoc},
volume = {13},
number = {2},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CHEB_2012_13_2_a8/}
}
P. L. Ivankov. О значениях продифференцированных по параметру гипергеометрических функций. Čebyševskij sbornik, Tome 13 (2012) no. 2, pp. 64-70. http://geodesic.mathdoc.fr/item/CHEB_2012_13_2_a8/