Capacities of condencers in geometric function theory.
Main publications:
V. N. Dubinin, E. G. Prilepkina. On variational principles of conformal mappings. Algebra and Anal., 2006, v. 18, N 3, p. 3–26.
D. Karp and E. Prilepkina
"Reduced modulus with free boundary and its applications" //
Preprint 02/2008, Departament de Matematiques, Universitat Autonoma de Barcelona, January 2008, 26 p.
Dmitrii Karp, Elena Prilepkina, “Hypergeometric Differential Equation and New Identities for the Coefficients of Nørlund and Bühring”, SIGMA, 12 (2016), 52 , 23 pp., arXiv: 1602.07375;
V. N. Dubinin, E. G. Prilepkina, “On variational principles of conformal mappings”, St. Petersburg Math. J., 18:3 (2007), 373–389
3.
V. N. Dubinin, E. G. Prilepkina, “On the preservation of generalized reduced modulus under some geometric transformations of domains in the plane”, Dal'nevost. Mat. Zh., 6:1-2 (2005), 39–56
4.
V. N. Dubinin, E. G. Prilepkina, “On extremal decomposition of $n$-space domains”, J. Math. Sci. (New York), 105:4 (2001), 2180–2189
5.
S. I. Kalmykov, E. G. Prilepkina, “On the $p$-harmonic Robin radius in the Euclidean space”, J. Math. Sci. (N. Y.), 225:6 (2017), 969–979
6.
E. G. Prilepkina, “Distortion theorems for univalent functions in multiply-connected domains”, Dal'nevost. Mat. Zh., 9:1-2 (2009), 140–149
7.
E. G. Akhmedzyanova, V. N. Dubinin, “Radial transformations of sets, and inequalities for the transfinite diameter”, Russian Math. (Iz. VUZ), 43:4 (1999), 1–6
8.
Asena Çetinkaya, Dmitrii Karp, Elena Prilepkina, “Hypergeometric Functions at Unit Argument: Simple Derivation of Old and New Identities”, SIGMA, 17 (2021), 98 , 25 pp., arXiv: 2105.05196;
E. G. Prilepkina, “On composition principles for reduced moduli”, Siberian Math. J., 52:6 (2011), 1079–1091
11.
V. N. Dubinin, E. G. Prilepkina, “Distortion theorems for univalent meromorphic functions on an annulus”, Siberian Math. J., 51:2 (2010), 229–243
12.
E. V. Kostyuchenko, E. G. Prilepkina, “About polarization with respect to hypersphere”, Dal'nevost. Mat. Zh., 5:1 (2004), 22–29
13.
V. N. Dubinin, E. G. Prilepkina, “On the uniqueness theorems for the transformations of sets and condensers in the plane”, Dal'nevost. Mat. Zh., 3:2 (2002), 137–149
14.
D .B. Karp, E. G. Prilepkina,, “On Meijer’s G function G^{m,n}_{p,p} for m+n=p”, Integral Transforms and Special Functions, 34:1 (2023), 88-104
E. G. Prilepkina, A. S. Afanaseva-Grigoreva, “Optimal discrete Neumann energy in a ball and an annulus”, Sib. elektron. matem. izv., 19:1 (2022), 109–119;
Afanaseva-Grigoreva A. S., Prilepkina E. G., “ON THE P-HARMONIC RADII OF CIRCULAR SECTORS”, Problemy Analiza - Issues of Analysis, 10 (28):3 (2021), 3–14 https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=10950&lang=en
V.N.Dubinin, E.G.Prilepkina, “Optimal Green energy points on the circles in d-space”, Journal of Mathematical Analysis and Applications, 499:2 (2021) (Article 125055)
E. G. Prilepkina, A. S. Afanaseva-Grigoreva, “On the conformal metric of annulus in the n-dimensional Euclidean space”, Dal'nevost. Mat. Zh., 18:2 (2018), 233–241
19.
A. S. Afanaseva-Grigoreva, E. G. Prilepkina, “Extremal decomposition problems for p-harmonic Robin radius”, Dal'nevost. Mat. Zh., 20:2 (2020), 135–143
20.
E. G. Prilepkina, “On the $n$-harmonic radius of domains in the n-dimensional Euclidean space”, Dal'nevost. Mat. Zh., 17:2 (2017), 246–256
21.
E. G. Prilepkina, “On quadratic forms generated by the Neumann functions”, J. Math. Sci. (N. Y.), 207:6 (2015), 909–922
22.
E. G. Prilepkina, “Transfinite diameter with respect to Neumann function”, J. Math. Sci. (N. Y.), 200:5 (2014), 605–613
23.
E. G. Prilepkina, “On the conformal capacity of a spatial condenser with spherical plates”, Dal'nevost. Mat. Zh., 22:1 (2022), 76–83
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