3 citations · 4 across the 5 of their papers we have counts for
6 papers · 1 filter
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…
Mapping properties of the zero-balanced hypergeometric functions
Li-Mei Wang
In the present paper, the order of convexity of z\Gauss(a,b;c;z) is first given under some conditions on the positive real parameters a, b and c. Then we show that the image domain…
On the order of convexity for the shifted hypergeometric functions
Li-Mei Wang
In the present paper, we study the order of convexity of $z\Gauss(a,b;c;z)$ with real parameters and where $\Gauss(a,b;c;z)$ is the Gaussian hypergeometric function. Fir…
Spirallikeness of shifted hypergeometric functions
Toshiyuki Sugawa, Li-Mei Wang
In the present paper, we study spirallikenss (including starlikeness) of the shifted hypergeometric function with complex parameters where $_2F_1(a,…
Notes on convex functions of order
Toshiyuki Sugawa, Li-Mei Wang
Marx and Strohhäcker showed around in 1933 that is subordinate to for a normalized convex function on the unit disk Brickman, Hallenbeck, MacGregor…
An extremal problem for univalent functions
Toshiyuki Sugawa, Li-Mei Wang
For a real constant we give sharp estimates of for subclasses of normalized univalent functions on the unit disk.