The analytic continuation of the Gaussian hypergeometric function 2F1(a,b;c;z) for arbitrary parameters
نویسندگان
چکیده
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متن کاملHypergeometric reproducing kernels and analytic continuation from a half-line
Indefinite inner product spaces of entire functions and functions analytic inside a disk are considered and their completeness studied. Spaces induced by the rotation invariant reproducing kernels in the form of the generalized hypergeometric function are completely characterized. A particular space generated by the modified Bessel function kernel is utilized to derive an analytic continuation ...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2000
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(00)00267-3