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On the domain of analytic continuation of Lauricella–Saran’s hypergeometric functions $F_M$ and their ratios

UDC 517.5 We consider the problem of extending the Lauricella-Saran's hypergeometric functions $F_M$ by branched continued fractions. In three-dimensional complex space, the domain of analytical continuation of the Lauricella-Saran's hypergeometric functions $F_M$ and their ratios...

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Bibliographic Details
Date:	2026
Main Authors:	Dmytryshyn, R., Nyzhnyk, I., Дмитришин, Роман, Нижник, Іван
Format:	Article
Language:	Ukrainian
Published:	Institute of Mathematics, NAS of Ukraine 2026
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/9105
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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