On simultaneous approximations of some hypergeometric functions
https://doi.org/10.22405/2226-8383-2024-25-1-184-191
Abstract
In this paper we propose effective construction of simultaneous approximations for some hypergeometric functions of a special type and their derivatives with respect to parameter.
This construction is made use of for the achievement of the lower estimates of numerical linear forms of the values of such functions. Some parameters of these functions can be irrational.
About the Author
Pavel Leonidovich Ivankov
Bauman Moscow State Technical University
Russian Federation
Russian Federation
doctor of physical and mathematical sciences, professor
References
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Review
For citations:
Ivankov P.L. On simultaneous approximations of some hypergeometric functions. Chebyshevskii Sbornik. 2024;25(1):184-191. (In Russ.) https://doi.org/10.22405/2226-8383-2024-25-1-184-191
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