## Uniformly convex functions and a corresponding class of starlike functions

- F. Rønning
- Mathematics
- 1993

We investigate starlike functions f(z) = z + Yfk=2akzk wim the property that zf'(z)/'f(z) lies inside a certain parabola. These functions are closely related to a class of functions called uniformly… Expand

## Integral Transforms of Certain Subclasses of Analytic Functions

- Yong Chan Kim, F. Rønning
- Mathematics
- 15 June 2001

Abstract Let A be the class of normalized analytic functions in the unit disk Δ and define the class P γ β = f ∈ A | ∃ϕ ∈ R | Re e i ϕ 1 − γ f z / z + γ f ′ z − β > 0, z ∈ Δ . For a function f ∈ A… Expand

## Integral representations of bounded starlike functions

- F. Rønning
- Mathematics
- 1995

For α ≥ 0 let Fα denote the class of functions defined for |z| < 1 by integrating 1/(1− xz) if α > 0, and log(1/(1− xz)) if α = 0, against a complex measure on |x|=1. We study families of starlike… Expand

## Integral transforms of a class of analytic functions

- S. Ponnusamy, F. Rønning
- Mathematics
- 15 April 2008

For γ ≥ 0 and β < 1 given, let 𝒫γ(β) denote the class of all analytic functions f in the unit disc with the normalization f(0) = f ′(0) − 1 = 0 and satisfying the condition for some φ ∈ ℝ. The main… Expand

## Influence of computer-aided assessment on ways of working with mathematics

- F. Rønning
- Computer Science
- 1 June 2017

## On a multiplier conjecture for univalent functions

- V. Gruenberg, F. Rønning, S. Ruscheweyh
- Mathematics
- 1990

Let Y be the set of normalized univalent functions, and let 0 be the subset of 5 containing functions with the property: If/'(z)l O, jzl < 1. In particular, we prove that the conjecture holds with 5?… Expand

## Some Radius Results for Univalent Functions

- F. Rønning
- Mathematics
- 15 August 1995

Abstract This paper deals with the geometrically motivated properties uniform starlikeness, uniform convexity and starlikeness with respect to symmetrical points. We give sharp radius results for… Expand

## Integral transforms of functions with the derivative in a halfplane

- S. Ponnusamy, F. Rønning
- Mathematics
- 1 December 1999

AbstractLetA be the class of normalized analytic functions in the unit disk Δ and define the class
$$\mathcal{P}_\beta = \left\{ {f \in \mathcal{A}|\exists \alpha \in \mathbb{R}|\operatorname{Re} \{… Expand

## Radius of Convexity and Radius of Starlikeness for Some Classes of Analytic Functions

- V. Ravichandran, F. Rønning, T. N. Shanmugam
- Mathematics
- 1 August 1997

This paper deals with the properties convexity and starlikeness of order α, uniform convexity, and a special type of starikeness that in a natural way corresponds to uniform convexity. We are… Expand

## Entering the mathematical register through evolution of the material milieu for classification of polygons

- F. Rønning, Heidi Strømskag
- Computer Science
- 1 February 2017

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