An application of differential subordinations, II
An application of Hölder's inequality for convolutions.
An application of hypergeometric functions to a problem in function theory.
An application of Miller and Mocanu's result.
An application of subordination on harmonic function.
An application of the generalized Bessel function
We introduce and study some new subclasses of starlike, convex and close-to-convex functions defined by the generalized Bessel operator. Inclusion relations are established and integral operator in these subclasses is discussed.
An application of the Ruscheweyh derivatives.
An application of the Ruscheweyh derivatives. II.
An Application of the Subordination Chains
MSC 2010: 30C45, 30A20, 34A30The notion of differential superordination was introduced in [4] by S.S. Miller and P.T. Mocanu as a dual concept of differential subordination [3] and was developed in [5]. The notion of strong differential subordination was introduced by J.A. Antonino and S. Romaguera in [1]. In [6] the author introduced the dual concept of strong differential superordination. In this paper we study strong differential superordination using the subordination chains.
An Estimate for Meromorphic Functions with Finite Spherical Surface Area Satisfying a Minimum Modulus Condition.
An extension of the region of variability of a subclass of univalent functions.
An extension of the univalence criterion for a family of integral operators
The main object of the present paper is to extend the univalence condition for a family of integral operators. Relevant connections of some of the results obtained in this paper with those in earlier works are also provided.
An extension of typically-real functions and associated orthogonal polynomials
Two-parameters extension of the family of typically-real functions is studied. The definition is obtained by the Stjeltjes integral formula. The kernel function in this definition serves as a generating function for some family of orthogonal polynomials generalizing Chebyshev polynomials of the second kind. The results of this paper concern the exact region of local univalence, bounds for the radius of univalence, the coefficient problems within the considered family as well as the basic properties...
An extension to the Owa-Srivastava fractional operator with applications to parabolic starlike and uniformly convex functions.
An extremal arclength problem in some classes of univalent and p-symmetric functions
An inequality for univalent functions due to Dvořák
An integral operator associated with differential superordinations.
An integral operator on analytic functions with negative coefficients.
An integral operator on the classes S*(α) and CVH(β)
The purpose of this paper is to study some properties related to convexity order and coefficients estimation for a general integral operator. We find the convexity order for this operator, using the analytic functions from the class of starlike functions of order α and from the class CVH(β) and also we estimate the first two coefficients for functions obtained by this operator applied on the class CVH(β).
An integral operator that maps a subclass of starlike functions into itself