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Let denote the open unit disk and f: → ℂ̅ be meromorphic and univalent in with a simple pole at p ∈ (0,1) and satisfying the standard normalization f(0) = f’(0)-1 = 0. Also, assume that f has the expansion $f (z) = \sum_{n = - 1}^{\infty} a ₙ (z - p) ⁿ$ , |z-p| < 1-p, and maps onto a domain whose complement with respect to ℂ̅ is a convex set (starlike set with respect to a point w₀ ∈ ℂ, w₀ ≠ 0 resp.). We call such functions concave (meromorphically starlike resp.) univalent functions and denote this class by $C o (p) (Σ^{s} (p, w ₀)$ resp.). We prove some coefficient...

Coefficient inequality for a function whose derivative has a positive real part.

Janteng, Aini, Halim, Suzeini Abdul, Darus, Maslina (2006)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Coefficient inequality for a function whose derivative has a positive real part of order $α$

Deekonda Vamshee Krishna, Thoutreddy Ramreddy (2015)

Mathematica Bohemica

The objective of this paper is to obtain sharp upper bound for the function $f$ for the second Hankel determinant $| a_{2} a_{4} - a_{3}^{2} |$ , when it belongs to the class of functions whose derivative has a positive real part of order $α$ $(0 \leq α < ...$

Coefficient inequality for transforms of parabolic starlike and uniformly convex functions

D. Vamshee Krishna, B. Venkateswarlu, T. RamReddy (2014) Annales mathématiques Blaise Pascal

The objective of this paper is to obtain sharp upper bound to the second Hankel functional associated with the

k^{t h}

root transform

{[f (z^{k})]}^{\frac{1}{k}}

of normalized analytic function

f (z)

belonging to parabolic starlike and uniformly convex functions, defined on the open unit disc in the complex plane, using Toeplitz determinants.

Coefficient multipliers on spaces of vector-valued entire Dirichlet series

Sharma Akanksha, Girja S. Srivastava (2017)

Mathematica Bohemica

The spaces of entire functions represented by Dirichlet series have been studied by Hussein and Kamthan and others. In the present paper we consider the space $X$ of all entire functions defined by vector-valued Dirichlet series and study the properties of a sequence space which is defined using the type of an entire function represented by vector-valued Dirichlet series. The main result concerns with obtaining the nature of the dual space of this sequence space and coefficient multipliers for some...

Coefficient problem for a class of Mocanu-Bazilevič functions

P. K. Kulshrestha (1976)

Annales Polonici Mathematici

Coefficient problems for a class of analytic functions involving Hadamard products.

Darus, Maslina (2005)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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