[PDF][PDF] Starlike and convexity properties for-valent hypergeometric functions.
RM El-Ashwah, MK Aouf, AO Moustafa - Acta Mathematica Universitatis …, 2010 - eudml.org
RM El-Ashwah, MK Aouf, AO Moustafa
Acta Mathematica Universitatis Comenianae. New Series, 2010•eudml.orgGiven the hypergeometric function F (a, b; c; z)= Pn= 0∞(a) n (b) n (c) n (1) n zn, we place
conditions on a, b and c to guarante that zpF (a, b; c; z) will be in various subclasses of p−
valent starlike and p− valent convex functions. Operators related to the hypergeometric
function are also examined.
conditions on a, b and c to guarante that zpF (a, b; c; z) will be in various subclasses of p−
valent starlike and p− valent convex functions. Operators related to the hypergeometric
function are also examined.
Abstract
Given the hypergeometric function F (a, b; c; z)= Pn= 0∞(a) n (b) n (c) n (1) n zn, we place conditions on a, b and c to guarante that zpF (a, b; c; z) will be in various subclasses of p− valent starlike and p− valent convex functions. Operators related to the hypergeometric function are also examined.
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