On the domain of analytic continuation of Lauricella–Saran’s hypergeometric functions $F_M$ and their ratios
DOI:
https://doi.org/10.3842/umzh.v77i9.9105Keywords:
hypergeometric function, branched continued fraction, holomorphic function, approximation by rational functions, convergenceAbstract
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 is established.
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