Geodesic
On the values of some functions satisfying homogeneous differential equations
Čebyševskij sbornik, Tome 14 (2013) no. 2, pp. 104-112

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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. 
@article{CHEB_2013_14_2_a7,
     author = {P. L. Ivankov},
     title = {On the values of some functions satisfying homogeneous differential equations},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {104--112},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2013_14_2_a7/}
}
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P. L. Ivankov. On the values of some functions satisfying homogeneous differential equations. Čebyševskij sbornik, Tome 14 (2013) no. 2, pp. 104-112. http://geodesic.mathdoc.fr/item/CHEB_2013_14_2_a7/