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Displaying 781 – 800 of 959

On the radius of convexity for a class of conformal maps

V. Karunakaran, K. Bhuvaneswari (2007)

Colloquium Mathematicae

Let 𝓐 denote the class of all analytic functions f in the open unit disc 𝔻 in the complex plane satisfying f(0) = 0, f'(0) = 1. Let U(λ) (0 < λ ≤ 1) denote the class of functions f ∈ 𝓐 for which |(z/f(z))²f'(z) -1| < λ for z ∈ 𝔻. The behaviour of functions in this class has been extensively studied in the literature. In this paper, we shall prove that no member of U₀(λ) = {f ∈ U(λ): f''(0) = 0} is convex in 𝔻 for any λ and obtain a lower bound for the...

On the radius of convexity of some family of functions regular in the ring 0 < |z| < 1

Paweł Wiatrowski (1971)

Annales Polonici Mathematici

On the radius of starlikeness and convexity of certain classes of analytic functions

M. R. Rangarajan (1985)

Annales Polonici Mathematici

On the radius of univalence of bounded functions

Hassoon S. Al-Amiri (1972)

Colloquium Mathematicae

On the radius of univalence of certain analytic functions

Hassoon S. Al-Amiri (1973)

Colloquium Mathematicae

On the radius of univalence of convex combinations of analytic functions.

Noor, Khalida I., Aloboudi, Fatima M., Aldihan, Naeela (1983)

International Journal of Mathematics and Mathematical Sciences

On the Ramanujan AGM fraction. II: The complex-parameter case.

Borwein, J., Crandall, R. (2004)

Experimental Mathematics

On the range of analytic functions related to Caratheodory class

Yûsaku Komatu (1985)

Annales Polonici Mathematici

On the range of values of analytic functions relating to a family of integral operators

Y. Komatu (1987)

Matematički Vesnik

On the Range sets of Hp Functions.

Daniel D. Bonar, Francis W. Carroll (1977)

Mathematische Zeitschrift

On the reduced modulus of a half-strip.

Emel'yanov, E.G. (2004)

Zapiski Nauchnykh Seminarov POMI

On the region of values of the system ${f (z_{1}), ...$ , $f (z_{n})}$ in the class of typically real functions. II.

Goluzina, E.G. (2005)

Zapiski Nauchnykh Seminarov POMI

On the relation between the sets of deficiency values and deviations for meromorphic functions of finite order.

М.Л. Содин (1981)

Sibirskij matematiceskij zurnal

On the relative Schoenflies theorem.

Luukkainen, Jouni (1993)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

On the Residuum of Concave Univalent Functions

Wirths, K.-J. (2006)

Serdica Mathematical Journal

2000 Mathematics Subject Classification: 30C25, 30C45.Let D denote the open unit disc and f:D→[`C] be meromorphic and injective in D. We further assume that f has a simple pole at the point p О (0,1) and is normalized by f(0) = 0 and f′(0) = 1. In particular, we are concerned with f that map D onto a domain whose complement with respect to [`C] 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...

Currently displaying 781 – 800 of 959

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Displaying 781 – 800 of 959

On the radius of convexity for a class of conformal maps

On the radius of convexity of some family of functions regular in the ring 0 < |z| < 1

On the radius of starlikeness and convexity of certain classes of analytic functions

On the radius of univalence of bounded functions

On the radius of univalence of certain analytic functions

On the radius of univalence of convex combinations of analytic functions.

On the Ramanujan AGM fraction. II: The complex-parameter case.

On the range of analytic functions related to Caratheodory class

On the range of values of analytic functions relating to a family of integral operators

On the Range sets of Hp Functions.

On the reduced modulus of a half-strip.

On the region of values of the system ${f (z_{1}), ...$ , $f (z_{n})}$ in the class of typically real functions. II.

On the relation between the sets of deficiency values and deviations for meromorphic functions of finite order.

On the relative Schoenflies theorem.

On the Residuum of Concave Univalent Functions

On the Riemann-Hilbert problem in the domain with a nonsmooth boundary.

On the Riesz Uniqueness Theorem for Functions of Nearly Bounded Characteristics.

On the Ritt order and type of a certain class of functions defined by $B E$ -Dirichletian elements.

On the Ritt order of a certain class of functions.

On the scalar curvature of self-dual manifolds.

Currently displaying 781 – 800 of 959