Some properties of fractional integrals and derivatives of univalent functions
type: Item
instance of: scholarly article
title: Some properties of fractional integrals and derivatives of univalent functions
zbMATH Open document ID: 0571.30011
author: G. L. Reddy
author: K. S. Padmanabhan
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1985-01-01T00:00:00Z
review text: The authors study properties of \[ D_ z^{\alpha}f(z)=(1/\Gamma (1- \alpha))(d/dz)\int^{z}_{0}(f(t)/(z-t)^{\alpha})dt,\quad \alpha \in (0,1) \] and \[ D_ z^{-\alpha}f(z)=(1/\Gamma (\alpha))\int^{z}_{0}(f(t)/(z-t)^{\alpha})dt,\quad \alpha >0 \] if f belongs to certain subclasses of the class of functions starlike resp. convex in the unit disc.
Mathematics Subject Classification ID: 30C45
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 3910713
zbMATH Keywords: fractional integrals
zbMATH Keywords: starlike functions
zbMATH Keywords: convex functions
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3910713