A preserving property of a Bernardi type operator.
A preserving property of generalized Libera integral operator.
A preserving property of the Alexander operator.
A preserving property of the generalized Bernardi integral operator.
A proof of the Livingston conjecture for the fourth and the fifth coefficient of concave univalent functions
Let D denote the open unit disc and f:D → ℂ̅ be meromorphic and injective in D. We further assume that f has a simple pole at the point p ∈ (0,1) and an expansion , |z| < p. In particular, we consider f that map D onto a domain whose complement with respect to ℂ̅ is convex. Because of the shape of f(D) these functions will be called concave univalent functions with pole p and the family of these functions is denoted by Co(p). It is proved that for p ∈ (0,1) the domain of variability of the coefficient...
A property of the class of functions whose derivative has a positive real part.
A remark on certain analytic class by using Ruscheweyh derivatives.
A remark on certain close-to-convex functions
A remark on certain -valent functions.
A remark on the Hadamard products of -starlike functions.
A sharp bound for the Schwarzian derivative of concave functions
We derive a sharp bound for the modulus of the Schwarzian derivative of concave univalent functions with opening angle at infinity less than or equal to πα, α ∈ [1,2].
A study on starlike and convex properties for hypergeometric functions.
A study on the generalization of Janowski functions in the unit disc.
A subclass of analytic functions defined by differential Sălăgean operator.
A subclass of analytic functions defined by Ruscheweyh derivative.
A Subclass Of Close-To-Convex Functions
A subclass of harmonic functions with varying arguments defined by Dziok-Srivastava operator
Making use of the Dziok-Srivastava operator, we introduce a new class of complex valued harmonic functions which are orientation preserving and univalent in the open unit disc and are related to uniformly convex functions. We investigate the coefficient bounds, distortion inequalities and extreme points for this generalized class of functions.
A subclass of --starlike functions.
A subclass of uniformly convex functions associated with a fractional calculus operator involving Caputo's fractional differentiation.
A subclass of uniformly convex functions associated with certain fractional calculus operators.