Showing math.CVShow all
3 papers · 1 filter
math.CV2025
Gehring-Hayman Inequality for Meromorphic Univalent Mappings
Bappaditya Bhowmik, Deblina Maity, Toshiyuki Sugawa
Let be a meromorphic univalent function on the open unit disk having a simple pole at that extends continuously to the left half $\IT^{-}$ of the unit circle. In t…
math.CV2024
Hausdorff moment sequences and hypergeometric functions
Toshiyuki Sugawa, Li-Mei Wang
Pólya in 1926 showed that the hypergeometric function $F(z)=\null_2F_1(a,b;c;z)$ has a totally monotone sequence as its coefficients; that is, is the generating function of a H…
math.CV2023
Universal convexity and range problems of shifted hypergeometric functions
Toshiyuki Sugawa, Li-Mei Wang, Chengfa Wu
In the present paper, we study the shifted hypergeometric function $f(z)=z\Gauss(a,b;c;z)$ for real parameters with and its variant $g(z)=z\Gauss(a,b;c;z^2).$ Our f…