On starlike and convex functions of order \(\alpha\)

DOI10.1215/S0012-7094-68-03575-8zbMath0167.36101MaRDI QIDQ2530812

Bernard Pinchuk

Publication date: 1968

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

complex functions

Related Items (30)

An application of the Schur algorithm to variability regions of certain analytic functions. I ⋮ A note on certain classes of starlike functions ⋮ Unnamed Item ⋮ Some constraints of hypergeometric functions to belong to certain subclasses of analytic functions ⋮ Some applications of fractional calculus operators to certain subclasses of prestarlike functions with negative coefficients ⋮ Some characterization and distortion theorems involving fractional calculus, generalized hypergeometric functions, Hadamard products, linear operators, and certain subclasses of analytic functions ⋮ Unnamed Item ⋮ Geometric properties of the shifted hypergeometric functions ⋮ Radii problems for starlike functions and semigroup generators ⋮ Study of generalized \(q\)-close-to-convex functions related to parabolic domain ⋮ Extremal properties of some spirallike functions ⋮ A Variational Method for Functions of Bounded Boundary Rotation ⋮ Unnamed Item ⋮ On Some Starlike and Convex Functions ⋮ A subclass of analytic functions related with conic domain ⋮ Inequalities involving weighted means in a disc of the complex plane ⋮ On linear combinations of n convex functions of order a ⋮ A Class of Regular Functions Containing Spirallike and Close-to-Convex Functions ⋮ On p-valent functions of complex order ⋮ On the Univalent Functions Starlike with Respect to a Boundary Point ⋮ Geometric properties of the nonlinear resolvent of holomorphic generators ⋮ Certain subclasses of starlike functions. II ⋮ Certain subclasses of starlike functions. I ⋮ On strongly starlike and strongly convex functions with bounded radius and bounded boundary rotation ⋮ On bounded boundary and bounded radius rotations ⋮ A variational method for classes of meromorphic functions ⋮ The distortion theorems for harmonic mappings with analytic parts convex or starlike functions of order \(\beta\) ⋮ Some applications of the generalized Libera integral operator ⋮ Some applications of fractional calculus operators to obtain classes of analytic and multivalent functions ⋮ Notes on convex functions of order \(\alpha\)

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