Systems of Functions Orthogonal Over the Domain and Their Application in Boundary-Value Problems of Mathematical Physics

М. А. Sukhorol’s’kyi1
1L’vivs’ka Politekhnika” National University, Lviv, Ukraine

Tóm tắt

Từ khóa


Tài liệu tham khảo

V. S. Vladimirov, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1981).

G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review, Dover, New York (2000).

M. A. Lavrent’ev and B. V. Shabat, Methods of the Theory of Functions of Complex Variable [in Russian], Nauka, Moscow (1987).

P. K. Suetin, Orthogonal Polynomials in Two Variables [in Russian], Nauka, Moscow (1988).

М. А. Sukhorol’s’kyi, “Solutions of boundary-value problems for the Helmholtz equation in simply connected domains of the complex plane,” Mat. Metody Fiz.-Mekh. Polya, 58, No. 4, 34–46 (2015).

G. P. Tolstov, Fourier Series [in Russian], Nauka, Moscow (1980).

C. F. Dunkl and Y. Xu, Orthogonal Polynomials of Several Variables, Cambridge Univ. Press, Cambridge (2014).

T. H. Koornwinder, “Two-variable analogues of the classical orthogonal polynomials,” in: R. A. Askey (editor), Theory and Application of Special Functions, Academic Press, New York (1975), pp. 435–495.