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Zeros of complex polynomials and Kaplan classes
We carry out complete membership to Kaplan classes of polynomials with all zeros on unit circle. In this way we extend Sheil-Small’s and Jahangiri’s...
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On a certain classes of meromorphic functions with positive coefficients
In this paper certain classes of meromorphic functions in punctured unit disk are defined. Some properties including coefficient inequalities,...
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Preserving properties and pre-Schwarzian norms of nonlinear integral transforms
We study preserving properties of certain nonlinear integral transforms in some classical families of normalized analytic univalent functions defined...
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Dirichlet Problem, Univalency and Schwarz Lemma for Biharmonic Map**s
In this paper, we shall discuss the family of biharmonic map**s for which the maximum principle holds. As a consequence of our study, we present...
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Second Hankel Determinant for a Certain Subclass of Bi-univalent Functions
In this paper, we introduce a subclass of analytic and bi-univalent functions in the open unit disk. Here, we give upper bound estimates for the...
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An Unified Approach to Second Hankel Determinant of Bi-Subordinate Functions
In this work, we obtained the second Hankel determinant with a different method for a certain class of analytic bi-univalent function which is...
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Radial Length, Radial John Disks and K-quasiconformal Harmonic Map**s
In this article, we continue our investigations of the boundary behavior of harmonic map**s. We first discuss the classical problem on the growth...
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Sets of Univalence in Some Classes of Analytic Functions
This paper attempts to determine the “largest” sets of local univalence for a given class and the “largest” open sets in which all functions...