A Briot-Bouquet differential subordination is used to determine the exact order of starlikeness for the class of uniformly convex functions. In the solution we use some integral representations, which offer the possib...
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A Briot-Bouquet differential subordination is used to determine the exact order of starlikeness for the class of uniformly convex functions. In the solution we use some integral representations, which offer the possibility of correct estimation. (C) 2011 Elsevier Ltd. All rights reserved.
Let A be the class of analytic functions in the open unit disk U. Given 0 less than or equal to lambda < 1, let Omega(lambda) be the operator defined on A by (Omega(lambda)f) (z) = Gamma(2 - lambda)z(lambda)D(z)(la...
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Let A be the class of analytic functions in the open unit disk U. Given 0 less than or equal to lambda < 1, let Omega(lambda) be the operator defined on A by (Omega(lambda)f) (z) = Gamma(2 - lambda)z(lambda)D(z)(lambda) f(z), where D(z)(lambda)f is the fractional derivative of f of order lambda. A function f in A is said to be in the class SPlambda if Omega(lambda)f is a parabolic starlike function. In this paper, several basic properties and characteristics of the class SPlambda are investigated. These include subordination, inclusion, and growth theorems, class-preserving operators, Fekete-Szego problems, and sharp estimates for the first few coefficients of the inverse function. (C) 2000 Elsevier Science Ltd. All rights reserved.
The aim of this paper is to define new certain subclasses of analytic functions of fractional parameters in the well-known unit disk U. Then introduce and study a new integral operator type fractional in the sense of ...
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The aim of this paper is to define new certain subclasses of analytic functions of fractional parameters in the well-known unit disk U. Then introduce and study a new integral operator type fractional in the sense of Noor integral on Banach space. In addition, some of its applications are discussed by utilizing a Owa-Hadamard product.
Let A be the class of analytic functions in the open unit disk U. A function f in A satisfying the normalization is said to be in the class SP(n) if D(n)f is a parabolic starlike function, where D(n) is a notation of ...
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Let A be the class of analytic functions in the open unit disk U. A function f in A satisfying the normalization is said to be in the class SP(n) if D(n)f is a parabolic starlike function, where D(n) is a notation of the Salagean operator. In this paper, several basic properties and characteristics of the class SP(n) are investigated. These include subordination, convolution properties, class-preserving integral operators, and Fekete-Szego problems. (C) 2011 Elsevier Inc. All rights reserved.
In this paper, we define a new subclass of k -uniformly convex functions order α type β with varying argument of coefficients and obtain coefficient estimates. Further we investigate extreme points, growth and disto...
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In this paper, we define a new subclass of k -uniformly convex functions order α type β with varying argument of coefficients and obtain coefficient estimates. Further we investigate extreme points, growth and distortion bounds, radii of starlikeness and convexity and modified Hadamard products.
We introduce new versions of uniformly convex functions, namely h(d) strongly (weaker) convexfunctions. Based on the positivity of complete homogeneous symmetric polynomials with even degree, recently studied in Rove...
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We introduce new versions of uniformly convex functions, namely h(d) strongly (weaker) convexfunctions. Based on the positivity of complete homogeneous symmetric polynomials with even degree, recently studied in Roventa and Temereanc (Mediterr J Math 16:1- 16, 2019), Rovent,a et al. (A note on weighted Ingham's inequality for families of exponentials with no gap, In: 24th ICSTCC, pp 43-48, 2020;Weighted Ingham's type inequalities via the positivity of quadratic polynomials, submitted), and Tao (https://***/2017/ 08/06/schur-convexity-and-positive-definiteness-of-the-even-degree-complete-homogeneous-symmetric-polynomials/), we introduce stronger and weaker versions of uniformlyconvexity. In this context, we recover well-known type inequalities such as: Jensen's, Hardy-Littlewood- Polya's and Popoviciu's inequalities. Some final remarks related to Sherman's and Ingham's type inequalities are also discussed.
Applying the coefficient inequalities of functions f(z) belonging to the subclasses M/D (alpha, beta) and N D(alpha,beta) of certain analytic functions in the open unit disk U, two subclasses MD* (alpha, beta) and N D...
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Applying the coefficient inequalities of functions f(z) belonging to the subclasses M/D (alpha, beta) and N D(alpha,beta) of certain analytic functions in the open unit disk U, two subclasses MD* (alpha, beta) and N D* (alpha, beta) are introduced. The object of the present paper is to derive some convolution properties of functions f(z) in the classes M D*(alpha, beta) and N D* (alpha,beta). (C) 2006 Elsevier Inc. All rights reserved.
For a sufficiently adequate special case of the Dziok-Srivastava linear operator defined by means of the Hadamard product ( or convolution) with a generalized hypergeometric function, the authors investigate several m...
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For a sufficiently adequate special case of the Dziok-Srivastava linear operator defined by means of the Hadamard product ( or convolution) with a generalized hypergeometric function, the authors investigate several mapping properties involving various subclasses of analytic and univalent functions, which are introduced here. Relevant connections of the definitions and results presented in this paper with those in several earlier works on the subject are also pointed out.
A normalized analytic function f defined on the unit disk is Ma-Minda starlike (with respect to phi\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \us...
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A normalized analytic function f defined on the unit disk is Ma-Minda starlike (with respect to phi\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varphi $$\end{document}) if the quantity zf '(z)/f(z)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$zf'(z)/f(z)$$\end{document} is subordinate to the function phi\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varphi $$\end{document}. The radius of starlikeness and parabolic starlikeness of the class S\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {S}$$\end{document} of univalent functions on the unit disk are well-known. In this paper, we determine the radii of functions in S\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathcal {S}$$\end{document} to belong to several well-known classes of Ma-Minda starlike functions.
The present investigation our goal is to determine necessary and sufficient condition for Struve functions belonging to the classes J(lambda)*(alpha, beta) and G(lambda)(*)(alpha, beta).
The present investigation our goal is to determine necessary and sufficient condition for Struve functions belonging to the classes J(lambda)*(alpha, beta) and G(lambda)(*)(alpha, beta).
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