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Displaying 81 – 100 of 121

Coefficient inequalities for concave and meromorphically starlike univalent functions

B. Bhowmik, S. Ponnusamy (2008)

Annales Polonici Mathematici

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 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]

Coefficients estimates for functions in $B_{n} (α)$ .

Abdul Halim, S. (2003)

International Journal of Mathematics and Mathematical Sciences

Coefficients in some classes defined by subordination to multivalent majorants

Renata Jurasińska, Jan Stankiewicz (2003)

Annales Polonici Mathematici

We present some results connected with estimation of the coefficients for some special class of functions holomorphic in the unit disc and defined by subordination to some multivalent functions.

Coefficients of inverse functions in a nested class of starlike functions of positive order.

Mishra, A.K., Gochhayat, P. (2006)

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

Coefficients of the inverse of strongly starlike functions.

Ali, Rosihan M. (2003)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

Composition operators on the Bergman space

David M. Boyd (1975)

Colloquium Mathematicae

Comprehensive family of $k$ -uniformly harmonic starlike functions

B. A. Frasin, G. Murugusundaramoorthy (2011)

Matematički Vesnik

Concave functions, Blaschke products, and polygonal mappings.

Bhowmik, Bappaditya, Ponnusamy, Saminathan, Wirths, Karl-Joachim (2009)

Sibirskij Matematicheskij Zhurnal

Concave schlicht functions with bounded opening angle at infinity.

Avkhadiev, F.G., Wirths, K.-J. (2005)

Lobachevskii Journal of Mathematics

Conditions for Carathéodory functions.

Cho, Nak Eun, Kim, In Hwa (2009)

Journal of Inequalities and Applications [electronic only]

Continuous Newton method for starlike functions.

Lutsky, Yakov (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

Convex and starlike criteria.

Silverman, Herb (1999)

International Journal of Mathematics and Mathematical Sciences

Convex and starlike functions

Sunder Singh, Ram Singh (1986)

Colloquium Mathematicae

Convex combination of analytic functions

Nak Eun Cho, Naveen Kumar Jain, V. Ravichandran (2017)

Open Mathematics

Radii of convexity, starlikeness, lemniscate starlikeness and close-to-convexity are determined for the convex combination of the identity map and a normalized convex function F given by f(z) = α z+(1−α)F(z).

Convex dynamics in Hele-Shaw cells.

Prokhorov, Dmitri, Vasil'ev, Alexander (2002)

International Journal of Mathematics and Mathematical Sciences

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