3 citations · 12 across the 16 of their papers we have counts for
16 papers
Boundary geometry and linear accessibility of functions with positive real derivative
Shota Hoshinaga, Ikkei Hotta, Li-Mei Wang
We study the boundary geometry of the Noshiro--Warschawski class . Using the geometric structure of close-to-convex domains and their relation to Loewner chains, we in…
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…
Schwarz Lemma and Schwarz-Pick Lemma for solutions of the -harmonic equation
Ming Li, Xiu-Shuang Ma, Li-Mei Wang
In this paper, the Schwarz type and Schwarz-Pick type inequalities for solutions of -harmonic equation for are investigated. By making use of the integral of trigonometri…
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…
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…
Geometric properties of the shifted hypergeometric functions
Toshiyuki Sugawa, Li-Mei Wang
We will provide sufficient conditions for the shifted hypergeometric function to be a member of a specific subclass of starlike functions in terms of the complex…
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.
Quasiconformal extendibility of integral transforms of Noshiro-Warschawski functions
Ikkei Hotta, Li-Mei Wang
Since the nonlinear integral transforms and with a complex number have been introduced, a great numbe…
Variability regions of close-to-convex functions
Takao Kato, Toshiyuki Sugawa, Li-Mei Wang
M. Biernacki gave concrete forms of the variability regions of and of close-to-convex functions for a fixed with in 1936. The forms are, howe…
Coefficient estimates for close-to-convex functions with argument
Li-Mei Wang
This paper deals with coefficient estimates for close-to-convex functions with argument (). By using Herglotz representation formula, sharp bounds of coefficients a…
Subordination Problems of Robertson functions
Li-Mei Wang
In the present paper, we are concerned with a subordination problem related to Robertson function. The radius of spirallikeness of Robertson function is also determined
Boundedness, univalence and quasiconformal extension of Robertson functions
Ikkei Hotta, Li-Mei Wang
This article contains several results for λ-Robertson functions, i.e., analytic functions defined on the unit disk satisfying and $Re e^{-iλ} {1+zf"(z)/f…
The titled Carathodory class and its applications
Li-Mei Wang
This survey mainly deals with the tilted Carath{é}odory class by angle (denoted by ) an element of which maps the unit disc into the tilted right half-plane $\{w…