"RIV/47813059:19610/06:#0000103!RIV07-GA0-19610___" . "483491" . . . "Lok\u00E1ln\u011B analytick\u00E1 \u0159e\u0161en\u00ED zobecn\u011Bn\u00E9 Dhombresovy funkcion\u00E1ln\u00ED rovnice I"@cs . . . "Studujeme lok\u00E1ln\u011B analytick\u00E1 \u0159e\u0161en\u00ED zobecn\u011Bn\u00E9 Dhombresovy funkcion\u00E1ln\u00ED rovnice f(xf(x))=g(f(x)) s podm\u00EDnkou f(0)=0 v komplexn\u00EDm oboru. Dokazujeme existenci, popisujeme strukturu v\u0161ech lok\u00E1ln\u011B analytick\u00FDch \u0159e\u0161en\u00ED, a \u0159e\u0161\u00EDme konverzn\u00ED probl\u00E9m. Vyu\u017E\u00EDv\u00E1me souvislosti mezi zobecn\u011Bnou Dhombresovou rovnic\u00ED, line\u00E1rn\u00EDmi funkcion\u00E1ln\u00EDmi rovnicemi a zobecn\u011Bnou B\u00F6ttcherovou rovnic\u00ED."@cs . "We study local analytic solutions of the generalized Dhombres functional equation f(xf(x))=g(f(x)) with f(0)=0 in the complex domain. We give an existence result, describe the structure of the set of all local analytic solutions and solve the converse problem. Connections of generalized Dhombres equation with linear functional equations and generalized B\u00F6ttcher equation are used."@en . "\u0160tef\u00E1nkov\u00E1, Marta" . "Sm\u00EDtal, Jaroslav" . "Local analytic solutions of the generalized Dhombres functional equation I" . . . "241" . "AT - Rakousk\u00E1 republika" . "We study local analytic solutions of the generalized Dhombres functional equation f(xf(x))=g(f(x)) with f(0)=0 in the complex domain. We give an existence result, describe the structure of the set of all local analytic solutions and solve the converse problem. Connections of generalized Dhombres equation with linear functional equations and generalized B\u00F6ttcher equation are used." . "iterative functional equation; local analytic solutions"@en . . "Lok\u00E1ln\u011B analytick\u00E1 \u0159e\u0161en\u00ED zobecn\u011Bn\u00E9 Dhombresovy funkcion\u00E1ln\u00ED rovnice I"@cs . "19610" . . "23"^^ . "0723-9319" . . "Reich, Ludwig" . . "3-25" . "3"^^ . "RIV/47813059:19610/06:#0000103" . . "2"^^ . . "2005" . "Local analytic solutions of the generalized Dhombres functional equation I"@en . "P(GA201/03/1153), Z(MSM4781305904)" . . "Local analytic solutions of the generalized Dhombres functional equation I" . . . . "Local analytic solutions of the generalized Dhombres functional equation I"@en . "\u00D6sterreichische Akademie der Wissenschaften Mathematisch-Naturwissenschaftliche Klasse. Sitzungsberichte. Abteilung II." . "[C37ECEC70F5F]" . .