On an arithmetical triangle

被引：0

作者：

Karachik V.V. ^{[1
]}

机构：

[1] South Ural State University, 76, Pr. Lenina

来源：

Journal of Mathematical Sciences | 2013年 / 195卷 / 5期

关键词：

Unit Ball; Dirichlet Problem; Lateral Side; Recurrent Equation; Neumann Problem;

D O I：

10.1007/s10958-013-1611-3

中图分类号：

学科分类号：

摘要：

We derive and explicitly solve recurrent equations with boundary conditions for coefficients in the solvability condition for the Neumann problem for the polyharmonic equation in a unit ball. Bibliography: 9 titles. © 2013 Springer Science+Business Media New York.

引用

页码：665 / 675

页数：10

共 9 条

[1]

Bitsadze, V., On some properties of polyharmonic functions" [in Russian] (1988) Differents. Uravn, 24 (5), pp. 825-831

[2]

Karachik, V., Turmetov, B., Bekaeva, A., Solvability conditions of the Neumann boundary value problem for the biharmonic equation in the unit ball (2012) Int. J. Pure Appl. Math, 81 (3), pp. 487-495

[3]

Karachik, V.V., A problem for the polyharmonic equation in the sphere" [in Russian] (1991) Sib. Mat. Zh, 32 (5), pp. 51-58. , English transl.: Sib. Math. J. 32, No. 5, 767-774 (1991)

[4]

Bitsadze, V., (1976) Equations of Mathematical Physics [in Russian], , Nauka, Moscow

[5]

Bondarenko, A., (1990) Generalized Pascal Triangles and Pyramids, their Fractals, Graphs, and Applications [in Russian], , FAN, Tashkent

[6]

Karachik, V.V., On some special polynomials (2004) Proc. Am. Math. Soc, 132 (4), pp. 1049-1058

[7]

Bondarenko, A., Karachik, V.V., Tulyaganov, R.B., Distribution of Eulerian and Stirling numbers mod m in arithmetical triangles" [in Russian] (1996) Vopr. Vychisl. Prikl. Mat, 102, pp. 133-140

[8]

Karachik, V.V., P-Latin matrices and Pascal's triangle modulo a prime (1996) Fibonacci Q, 34 (4), pp. 362-372

[9]

Karachik, V.V., Antropova, N.A., On polynomial solutions to the Dirichlet problem for the biharmonic equation in a ball" [in Russian] (2012) Sib. Zh. Ind. Mat, 15 (2), pp. 86-98

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