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

Zh. Vychisl. Mat. Mat. Fiz., 2011 Volume 51, Number 11, Pages 1995–2032 (Mi zvmmf9572)

This article is cited in 1 paper

Special functions in academician A. A. Dorodnicyn’s scientific legacy: Special functions arising in the solution of boundary value problems for second-order singular ordinary differential equations by asymptotic methods

M. K. Kerimov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia

Abstract: On the occasion of the centenary of Academician A. A. Dorodnicyn’s birth, his main results concerning asymptotic methods for solving second-order singular ordinary differential equations and special functions related to these equations are presented (with certain corrections and additions).

Key words: Academician A. A. Dorodnicyn’s scientific legacy, singular ordinary differential equations, asymptotic methods, special functions.

UDC: 519.624.2

Received: 26.05.2011


 English version:
Computational Mathematics and Mathematical Physics, 2011, 51:11, 1878–1914

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© Steklov Math. Inst. of RAS, 2026