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Radius of convexity of sections of a class of close-to-convex functions of order α

100%

Banu B. U. , Youvaraj G. P.

Fasciculi Mathematici

2018

tom Nr 60

29--35

In this paper we study radius of convexity of sections of a class of univalent close-to-convex functions on D = { z ∈ C : |z| < 1}. For functions in this class, coefficient bounds, an integral representation and radius of convexity of nth sections have been obtained.

Starlikeness of functions satisfying a differential inequality

88%

Ali R. , Ponnusamy S. , Singh V.

Annales Polonici Mathematici

1995

tom 61

nr 2

135-140

In a recent paper Fournier and Ruscheweyh established a theorem related to a certain functional. We extend their result differently, and then use it to obtain a precise upper bound on α so that for f analytic in |z| < 1, f(0) = f'(0) - 1 = 0 and satisfying Re{zf''(z)} > -λ, the function f is starlike.

A unified representation of some starlike and convex harmonic functions with negative coefficients

88%

El-Ashwah R. M. , Aouf M. K. , Hassan A. A. M. , Hassan A. H.

Opuscula Mathematica

2013

tom Vol. 33, no. 2

273--281

In this paper we introduce a unified representation of starlike and convex harmonic functions with negative coefficients, related to uniformly starlike and uniformly convex analytic functions. We obtain extreme points, distortion bounds, convolution conditions and convex combinations for this family.

On harmonic univalent mappings with small coefficients

88%

Ganczar A.

Demonstratio Mathematica

2001

tom Vol. 34, nr 3

548-558

Radii of starlikeness and convexity of generalized k-Bessel functions

75%

Toklu E.

Journal of Applied Analysis

2023

tom Vol. 29, nr 1

171--185

The main purpose of this study is to determine the radii of starlikeness and convexity of the generalized k-Bessel functions for three different kinds of normalization in such away that the resulting functions are analytic in the unit disk of the complex plane. The characterization of entire functions from Laguerre-Pólya class plays a significant role in this paper. Moreover, the interlacing properties of the zeros of the k-Bessel function and its derivative is also useful in the proof of the main results. By making use of the Euler-Rayleigh inequalities for the real zeros of the generalized k-Bessel function, we obtain some tight lower and upper bounds for the radii of starlikeness and convexity of order zero.

Certain inequalities of meromorphic univalent functions associated with the Mittag-Leffler function

75%

Aouf M. K. , Mostafa A. O.

Journal of Applied Analysis

2019

tom Vol. 25, nr 2

173--178

The purpose of this paper is to prove differential inequalities for meromorphic univalent functions by using a new operator associated with the Mittag-Leffler function.

Partial sums of a certain harmonic univalent meromorphic functions

75%

Aouf M. K. , El-Ashwah R. M. , Dziok J. , Stankiewicz J.

Journal of Mathematics and Applications

2014

tom Vol. 37

5--12

In the present paper we determine sharp lower bounds of the real part of the ratios of harmonic univalent meromorphic functions to their sequences of partial sums [...].