Mapping properties of the zero-balanced hypergeometric functions
نویسندگان
چکیده
In this paper, the order of convexity z2F1(a,b;c;z) is given under certain conditions on positive real parameters a, b and c. We show also that image domains unit disc D some shifted zero-balanced hypergeometric functions z2F1(a,b;a+b;z) are convex bounded by two horizontal lines. This solves a problem raised Ponnusamy Vuorinen in [10].
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2022
ISSN: ['0022-247X', '1096-0813']
DOI: https://doi.org/10.1016/j.jmaa.2021.125448