Geodesic
On heterogeneous linear forms
Čebyševskij sbornik, Tome 14 (2013) no. 3, pp. 56-64

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In this paper we consider hypergeometric functions with irrational parameters and their derivatives (including with respect to parameter). By means of specially chosen degree of zero polynomial more precise low estimates of the moduli of corresponding linear forms are obtained.
Keywords: Padé approximations of the second type, generalized hypergeometric functions, irrational parameters, differentiation with respect to parameter, low estimates of linear forms. 
@article{CHEB_2013_14_3_a7,
     author = {P. L. Ivankov},
     title = {On heterogeneous linear forms},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {56--64},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2013_14_3_a7/}
}
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P. L. Ivankov. On heterogeneous linear forms. Čebyševskij sbornik, Tome 14 (2013) no. 3, pp. 56-64. http://geodesic.mathdoc.fr/item/CHEB_2013_14_3_a7/