Okrajové problémy pro některé třídy rekurentních relací s dvěma nezávislými proměnnými
Autor: | Bratislav Iričanin, Zdeněk Šmarda, Stevo Stević |
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Jazyk: | angličtina |
Rok vydání: | 2017 |
Předmět: |
recurrent relations with two independent variables
boundary value problem combinatorial domain equation solvable in closed form method of half-lines Pure mathematics okrajový problém Physics and Astronomy (miscellaneous) General Mathematics media_common.quotation_subject rekurentní relace dvou nezávislých proměnných kombinatorický obor 01 natural sciences Domain (mathematical analysis) Computer Science (miscellaneous) Boundary value problem 0101 mathematics Mathematics media_common Variables lcsh:Mathematics 010102 general mathematics lcsh:QA1-939 010101 applied mathematics Chemistry (miscellaneous) |
Zdroj: | Symmetry. 2017, vol. 9, issue 12, p. 1-16. Symmetry, Vol 9, Iss 12, p 323 (2017) Symmetry; Volume 9; Issue 12; Pages: 323 |
Popis: | It is shown that complex-valued boundary value problems for several classes of recurrent relations with two independent variables, of some considerable interest, are solvable on the following domain: C = { ( n , k ) : 0 ≤ k ≤ n , k ∈ N 0 , n ∈ N } , the so called combinatorial domain. The recurrent relations include some of the most important combinatorial ones, which, among other things, serve as a motivation for the investigation. The methods for solving the boundary value problems are presented and explained in detail. |
Databáze: | OpenAIRE |
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