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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2018 Volume 58, Number 1, Pages 3–41 (Mi zvmmf10657)

This article is cited in 4 papers

Studies on the zeroes of Bessel functions and methods for their computation: IV. Inequalities, estimates, expansions, etc., for zeros of Bessel functions

M. K. Kerimov

Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia

Abstract: This paper is the fourth in a series of survey articles concerning zeros of Bessel functions and methods for their computation. Various inequalities, estimates, expansions, etc. for positive zeros are analyzed, and some results are described in detail with proofs.

Key words: zeros of Bessel functions, inequalities, estimates, expansions, methods for computing zeros, overview.

UDC: 519.65

Received: 13.03.2017

DOI: 10.7868/S004446691801009X


 English version:
Computational Mathematics and Mathematical Physics, 2018, 58:1, 1–37

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