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@article{MZM_2018_103_5_a14, author = {A. Yu. Popov}, title = {New {Two-Sided} {Estimates} of the {Gamma} {Function} and the {Number} of $n${-Combinations} of $2n$ {Elements.} {Strong} {Enveloping} by an {Asymptotic} {Series}}, journal = {Matemati\v{c}eskie zametki}, pages = {785--789}, publisher = {mathdoc}, volume = {103}, number = {5}, year = {2018}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2018_103_5_a14/} }
TY - JOUR AU - A. Yu. Popov TI - New Two-Sided Estimates of the Gamma Function and the Number of $n$-Combinations of $2n$ Elements. Strong Enveloping by an Asymptotic Series JO - Matematičeskie zametki PY - 2018 SP - 785 EP - 789 VL - 103 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2018_103_5_a14/ LA - ru ID - MZM_2018_103_5_a14 ER -
%0 Journal Article %A A. Yu. Popov %T New Two-Sided Estimates of the Gamma Function and the Number of $n$-Combinations of $2n$ Elements. Strong Enveloping by an Asymptotic Series %J Matematičeskie zametki %D 2018 %P 785-789 %V 103 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2018_103_5_a14/ %G ru %F MZM_2018_103_5_a14
A. Yu. Popov. New Two-Sided Estimates of the Gamma Function and the Number of $n$-Combinations of $2n$ Elements. Strong Enveloping by an Asymptotic Series. Matematičeskie zametki, Tome 103 (2018) no. 5, pp. 785-789. http://geodesic.mathdoc.fr/item/MZM_2018_103_5_a14/
[1] M. V. Fedoryuk, “Obvertyvayuschii ryad”, Matematicheskaya entsiklopediya, T. 3, Izd-vo “Sovetskaya entsiklopediya”, M., 1982, 1096
[2] G. H. Hardy, Divergent Series, Oxford Univ. Press, Oxford, 1949 | MR
[3] E. T. Whittaker,G. N. Watson, A Course of Modern Analysis, Cambridge Univ. Press, Cambridge, 1927 | MR
[4] Yu. Yu. Machis, Liet. Matem. Rink., 47, Spec. Nr. (2007), 526–530
[5] H. Robbins, Amer. Math. Monthly, 62 (1955), 26–29 | DOI | MR
[6] N. Sonin, Ann. Sci. École Norm. Sup. (3), 6 (1889), 257–262 | MR
[7] N. Ya. Sonin, Issledovaniya o tsilindricheskikh funktsiyakh i spetsialnykh polinomakh, GITTL, M., 1954
[8] L. P. Kuptsov, “Gamma-funktsiya”, Matematicheskaya entsiklopediya, T. 1, Izd-vo “Sovetskaya entsiklopediya”, M., 1977, 866–870
[9] A. S. Belov, Matem. zametki, 100:2 (2016), 303–307 | DOI | MR
[10] I. V. Tikhonov, V. B. Sherstyukov, M. A. Petrosova, “Polinomy Bernshteina: staroe i novoe”, Matematicheskii forum. T. 8. Ch. 1. Issledovaniya po matematicheskomu analizu, YuMI VNTs RAN i RSO-A, Vladikavkaz, 2014, 126–175
[11] Z. Sasvari, J. Math. Anal. Appl., 236:1 (1999), 223–226 | DOI | MR