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Strongly gamma-starlike functions of order alpha

100%

Nunokawa M., Sokół J.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2013

tom 67

nr 2

In this work we consider the class of analytic functions \(\mathcal{G}(\alpha,\gamma)\), which is a subset of gamma-starlike functions introduced by Lewandowski, Miller and Złotkiewicz in Gamma starlike functions, Ann. Univ. Mariae Curie-Skłodowska, Sect. A 28 (1974), 53–58. We discuss the order of strongly starlikeness and the order of strongly convexity in this subclass.

Inequalities of harmonic univalent functions with connections of hypergeometric functions

81%

Sokół J., Ibrahim R. W., Ahmad M. Z., Al-Janaby H. F.

Open Mathematics

2015

tom 13

nr 1

Let SH be the class of functions f = h+g that are harmonic univalent and sense-preserving in the open unit disk U = { z : |z| < 1} for which f (0) = f'(0)-1=0. In this paper, we introduce and study a subclass H( α, β) of the class SH and the subclass NH( α, β) with negative coefficients. We obtain basic results involving sufficient coefficient conditions for a function in the subclass H( α, β) and we show that these conditions are also necessary for negative coefficients, distortion bounds, extreme points, convolution and convex combinations. In this paper an attempt has also been made to discuss some results that uncover some of the connections of hypergeometric functions with a subclass of harmonic univalent functions.

Ograniczanie wyników

1 Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

1 Open Mathematics

2 Sokół J.

1 Ahmad M. Z.

1 Al-Janaby H. F.

1 Ibrahim R. W.

1 Nunokawa M.

1 2015

1 2013

Wyniki wyszukiwania

Strongly gamma-starlike functions of order alpha

Inequalities of harmonic univalent functions with connections of hypergeometric functions