Zobrazeno 1 - 10
of 231
pro vyhledávání: '"Sugawa, Toshiyuki"'
In the present paper, we study the shifted hypergeometric function $f(z)=z\Gauss(a,b;c;z)$ for real parameters with $0
Externí odkaz:
http://arxiv.org/abs/2309.02934
We introduce and study invariant differential operators acting on the space $\mathcal{H}(\Omega)$ of holomorphic functions on the complement ${\Omega=\{(z,w) \in \hat{\mathbb{C}}^2 \, : \, z\cdot w \not=1\}}$ of the "complexified unit circle" $\{(z,w
Externí odkaz:
http://arxiv.org/abs/2308.01101
Using the definition of uniformly perfect sets in terms of convergent sequences, we apply lower bounds for the Hausdorff content of a uniformly perfect subset $E$ of $\mathbb{R}^n$ to prove new explicit lower bounds for the Hausdorff dimension of $E.
Externí odkaz:
http://arxiv.org/abs/2305.16723
In this article we prove that nonlinear resolvents of infinitesimal generators on bounded and convex subdomains of $\C^n$ are decreasing Loewner chains. Furthermore, we consider the problem of the existence of nonlinear resolvents on unbounded convex
Externí odkaz:
http://arxiv.org/abs/2303.16489
Autor:
Sugawa, Toshiyuki, Wang, Li-Mei
R. K\"ustner proved in his 2002 paper that the function $w_{a,b,c}(z)=$ $F(a+1,b;c;z)/F(a,b;c;z)$ maps the unit disk $|z|<1$ onto a domain convex in the direction of the imaginary axis under some condition on the real parameters $a,b,c.$ Here $F(a,b;
Externí odkaz:
http://arxiv.org/abs/2202.04247
We study the interior and exterior moduli of polygonal quadrilaterals. The main result is a formula for a conformal mapping of the upper half plane onto the exterior of a convex polygonal quadrilateral. We prove this by a careful analysis of the Schw
Externí odkaz:
http://arxiv.org/abs/2111.08304
Harmonic functions are natural generalizations of conformal mappings. In recent years, a lot of work have been done by some researchers who focus on harmonic starlike functions. In this paper, we aim to introduce two classes of harmonic univalent fun
Externí odkaz:
http://arxiv.org/abs/2108.11622
Autor:
Alam, Md. Shafiul, Sugawa, Toshiyuki
In his notebooks, Ramanujan presented without proof many remarkable formulae for the solutions to generalized modular equations. Much later, proofs of the formulae were provided by making use of highly nontrivial identities for theta series and hyper
Externí odkaz:
http://arxiv.org/abs/2105.05759
In the present paper, we will study geometric properties of harmonic mappings whose analytic and co-analytic parts are (shifted) generated functions of completely monotone sequences.
Comment: 15 pages
Comment: 15 pages
Externí odkaz:
http://arxiv.org/abs/2102.00138
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society, 2022
For a domain $G$ in the one-point compactification $\overline{\mathbb{R}}^n = \mathbb{R}^n \cup \{ \infty\}$ of $\mathbb{R}^n, n \ge 2$, we characterize the completeness of the modulus metric $\mu_G$ in terms of a potential-theoretic thickness condit
Externí odkaz:
http://arxiv.org/abs/2009.06465