Iterations of homographic functions and recurrence equations involving a homographic function

dc.contributor.author	Górowski, Jan	pl
dc.contributor.author	Łomnicki, Adam	pl
dc.date.accessioned	2026-07-17T06:16:37Z
dc.date.available	2026-07-17T06:16:37Z
dc.date.issued	2015
dc.identifier.citation	Annales Universitatis Paedagogicae Cracoviensis. 196, Studia ad Didacticam Mathematicae Pertinentia 7 (2015), s. [27]-33	pl
dc.identifier.uri	http://hdl.handle.net/11716/14241
dc.description.abstract	The formulas for the $m$-th iterate $(m \in N)$ of an arbitrary homographicfunction $H$ are determined and the necessary and sufficient conditions for a solution ofthe equation $y_{m+1} = H(y_m)$, $m \in N$ to be an infinite $n$-periodic sequence are given. Based on the results from this paper one can easily determine some particular solutionsof the Babbage functional equation.	en
dc.language	en	pl
dc.language.iso	en	pl
dc.rights	Copyright
dc.subject	iterations of homographic functions	en
dc.subject	recurrence equation	en
dc.subject	periodic sequences	en
dc.title	Iterations of homographic functions and recurrence equations involving a homographic function	en
dc.title.alternative	Iteracje funkcji homograficznej i równanie rekurencyjne zadane funkcją homograficzną	pl
dc.type	Article	pl
dc.rights.holder	Wydawnictwo Naukowe UP	pl