Representation of Special Functions by Multidimensional A- and J-Fractions with Independent Variables

The paper deals with the problem of representing special functions by branched continued fractions, particularly multidimensional A- and J-fractions with independent variables, which are generalizations of associated continued fractions and Jacobi continued fractions, respectively. A generalized Gra...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Fractal and fractional Ročník 9; číslo 2; s. 89
Hlavní autoři: Dmytryshyn, Roman, Sharyn, Serhii
Médium: Journal Article
Jazyk:angličtina
Vydáno: Basel MDPI AG 01.02.2025
Témata:
Algorithms
branched continued fraction
holomorphic functions of several complex variables
Independent variables
multiple power series
numerical approximation
Power series
New York
United States
Ukraine
ISSN:2504-3110, 2504-3110
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Popis
Shrnutí:The paper deals with the problem of representing special functions by branched continued fractions, particularly multidimensional A- and J-fractions with independent variables, which are generalizations of associated continued fractions and Jacobi continued fractions, respectively. A generalized Gragg’s algorithm is constructed that enables us to compute, by the coefficients of the given formal multiple power series, the coefficients of the corresponding multidimensional A- and J-fractions with independent variables. Presented below are numerical experiments for approximating some special functions by these branched continued fractions, which are similar to fractals.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract9020089