On the branched continued fraction expansions of the complete group of ratios of the generalized hypergeometric function $_4F_3$

On the branched continued fraction expansions of the complete group of ratios of the generalized hypergeometric function $_4F_3$

The paper considers the classical problem of the rational approximation of analytic functions of complex variable, in particulary, to issues that arise when constructing branched continued fraction expansions for generalized hypergeometric functions. Using combinations of three- and four-term recurr...

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Bibliographic Details
Main Authors: Y. Lutsiv, T. Antonova, R. Dmytryshyn, M. Dmytryshyn
Format: Article
Language:English
Published: Oles Honchar Dnipro National University 2024-12-01
Series:Researches in Mathematics
Subjects:
hypergeometric function
branched continued fraction
approximation by rational functions
Online Access:https://vestnmath.dnu.dp.ua/index.php/rim/article/view/436/436
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