Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
25.04.1953
E-mail: ,
Keywords: separation of singularities,
polyanalytical functions,
rational approximations,
Green capacity and potentials, hyperbolic distance and measure, capacities and potentials, maximum-modulus principle, Greens formulas.
Main publications:
Danchenko V.I. O razdelenii osobennostei meromorfykh funktsii // Matem.sb. 1984. T.125(167). S. 181-198.
Danchenko V.I. Otsenki rasstoyanii ot polyusov logarifmicheskikh
proizvodnykh mnogochlenov do pryamykh i okruzhnostei // Matem.sb. 1994. T. 185. N 8. S. 63-80.
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Danchenko V. I. Ob otsenkakh norm i variatsii ratsionalnykh sostavlyayuschikh meromorfnykh funktsii // DAN SSSR. 1985. T. 280. S. 1043–1046.
Danchenko V. I. O ratsionalnykh sostavlyayuschikh meromorfnykh funktsii i ikh proizvodnykh // Analysis Mathematica. 1990. T. 16, # 4. P. 241–255.
Danchenko V. I. O skorosti priblizheniya k deistvitelnoi osi polyusov normirovannykh logarifmicheskikh proizvodnykh polinomov // DAN. 1993. T. 330, # 1. S. 15–16.
Dolzhenko E. P., Danchenko V. I. O granichnom povedenii reshenii obobschennogo uravneniya Koshi–Rimana // Vestn. Mosk. un-ta. Cer. 1, Matematika. Mekhanika. 1998. # 3. S. 16–25.
V. I. Danchenko and E. P. Dolzhenko, “On boundary behavior of holomorphic components of bianalytic functions” Journal of Mathematical Sciences, Vol. 126, No. 6, 2005, 1586-1592
V. I. Danchenko and E. P. Dolzhenko, “On mean integral values of solutions of the generalized Cauchy-Riemann equations” Journal of Mathematical Sciences, Vol. 145, No. 5, 2007, 5188-5191
V. I. Danchenko and P.V.Chunaev, “Approximation by simple partial fractions and their generalizations”, Journal of Mathematical Sciences, 176:6 (2011), 844-859
V. I. Danchenko, A. E. Dodonov. Estimates for exponential sums. Applications. Journal of Mathematical Sciences: Volume 188, Issue 3 (2013), pp 197-206
Danchenko V.I., Danchenko D.Y. On existence sets for Markov–Bernshtein estimates for rational functions // Journal of Mathematical Sciences. July 2014, Volume 200, Issue 1, pp 46–51
Petr Chunaev, Vladimir Danchenko. Approximation by amplitude and frequency operators // Journal of Approximation Theory. 2016. v. 207. p. 1-30
P. Chunaev and V. Danchenko, Quadrature formulas with variable nodes and Jackson–Nikolskii inequalities for rational functions, Journal of Approximation Theory, Volume 228, 2018, pp. 1-20.
V. I. Danchenko, D. Ya. Danchenko. Extraction of pairs of harmonics from trigonometric polynomials by phase- amplitude operators // Journal of Mathematical Sciences, Vol. 232 , No. 3 , July 2018, P. 322-337
V.I. Danchenko, E.N. Kondakova. Algorithm for constructing simple partial fractions of the best approximation of constants // Journal of Mathematical Sciences, NewYork (Springer), Vol. 239, No 3, June, 2019. P. 299-308
Chunaev P., Danchenko V., Gorin’s Problem for Individual Simple Partial Fractions // Complex Analysis and Operator Theory. Vol. 14, Article number: 29 (2020). https://doi.org/10.1007/s11785-020-00986-4
V. I. Danchenko, D. G. Chkalova. Algebraic analogs of Fejer inequalities // Journal of Mathematical Sciences, 2021. Vol. 255, No. 5, 601-609.
DOI 10.1007/s10958-021-05397-0
https://rdcu.be/ckANW
