COEFFICIENT INEQUALITY FOR MULTIVALENT BOUNDED TURNING FUNCTIONS OF ORDER α
Journal Title: Проблемы анализа-Issues of Analysis - Year 2016, Vol 5, Issue 1
Abstract
The objective of this paper is to obtain the sharp upper bound to the H_2(p + 1), second Hankel determinant for p-valent (multivalent) analytic bounded turning functions (also called functions whose derivatives have positive real parts) of order α (0 ≤ α < 1), using Toeplitz determinants. The result presented here includes three known results as their special cases.
Authors and Affiliations
D. Vamshee Krishna, T. RamReddy
Keywords
Related Articles
- EP ID EP234308
- DOI 10.15393/j3.art.2016.3010
- Views 98
- Downloads 0
A NOTE ON THE EFFECT OF PROJECTIONS ON BOTH MEASURES AND THE GENERALIZATION OF q-DIMENSION CAPACITY
In this paper, we are concerned both with the properties of the generalization of the L^q-spectrum relatively to two Borel probability measures and with the generalized q-dimension Riesz capacity. We are also interested...
STRUCTURE OF KELLER MAPPINGS, TWO-DIMENSIONAL CASE
A Keller map is a polynomial mapping ƒ : Rⁿ → Rⁿ (or Cⁿ → Cⁿ) with the Jacobian Jƒ ≡ const ≠ 0. The Jacobian conjecture was first formulated by O. N. Keller in 1939. In the modern form it supposes injectivity of a Keller...
INEQUALITIES CONNECTING GENERALIZED TRIGONOMETRIC FUNCTIONS WITH THEIR INVERSES
Motivated by the recent work [1], in this paper we study the relations of generalized trigonometric and hyperbolic functions of two parameters with their inverse functions.
ГРАНИЧНОЕ ПОВЕДЕНИЕ МЕРОМОРФНЫХ ФУНКЦИЙ В МНОГОСВЯЗНЫХ ОБЛАСТЯХ
В первой части статьи доказывается аналог теоремы Каратеодори о граничном соответствии в случае конечносвязной области. Вторая часть посвящена доказательству аналога теоремы Плеснера (о структуре предельных множеств гран...
NECESSARY AND SUFFICIENT CONDITIONS OF (α, β)-ACCESSIBILITY OF DOMAIN IN NONSMOOTH CASE
In [1], [2] (α, β)-accessible domains in C were defined and investigated, and the criterion of (α, β)-accessibility in a smooth case was obtained. (α, β)-accessible domains are starlike, γ-accessible (γ = min{α, β}), and...