On Mathieu-type series for the unified Gaussian hypergeometric functions
نویسندگان
چکیده
منابع مشابه
Polynomial series expansions for confluent and Gaussian hypergeometric functions
Based on the Hadamard product of power series, polynomial series expansions for confluent hypergeometric functions M(a, c; ·) and for Gaussian hypergeometric functions F (a, b; c; ·) are introduced and studied. It turns out that the partial sums provide an interesting alternative for the numerical evaluation of the functions M(a, c; ·) and F (a, b; c; ·), in particular, if the parameters are al...
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The author aims at finding certain conditions on a, b and c such that the normalized Gaussian hypergeometric function zF (a, b; c; z) given by F (a, b; c; z) = ∞ ∑ n=0 (a, n)(b, n) (c, n)(1, n) z, |z| < 1, is in certain subclasses of analytic functions. A particular operator acting on F (a, b; c; z) is also discussed.
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ژورنال
عنوان ژورنال: Applicable Analysis and Discrete Mathematics
سال: 2020
ISSN: 1452-8630,2406-100X
DOI: 10.2298/aadm190525014p