Starlike functions - Open Access .click

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Computers & Mathematics with Applications, 2011
AbstractThis paper presents a new class of functions analytic in the open unit disc, and closely related to the class of starlike functions. Besides being an introduction to this field, it provides an interesting connections defined class with well known classes. The paper deals with several ideas and techniques used in geometric function theory.
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On products of starlike functions [PDF]

Proceedings of the American Mathematical Society, 1962
M. S. Robertson, E. P. Merkes, W. T. Scott +2 more
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On starlike harmonic functions

, 2019
Uniformly starlike univalent functions introduced by Goodman and we develop this idea over harmonic functions. We introduce a subclass of harmonic univalent functions which are fully starlike and uniformly starlike also. In the following we will mention some examples of this subclass and obtain two necessary and sufficient conditions, one with the ...
Nosrati, Shahpour, Zireh, Ahmad
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Starlike Hypergeometric Functions [PDF]

Proceedings of the American Mathematical Society, 1961
W. T. Scott, E. P. Merkes
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On the Marx Conjecture for Starlike Functions [PDF]

Transactions of the American Mathematical Society, 1965
Let S* denote the class of functions f(z) = z + a2z2 + *_. which map the unit disk I z I < 1 conformally onto a domain starlike with respect to the origin. An important example is the Koebe function k(z) = z(1 _ Z)2, which maps the disk onto the entire plane slit along the negative real axis from -1/4 to oo. In 1932, A. Marx [3] observed that for every
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On starlike functions [PDF]

Proceedings of the American Mathematical Society, 1970
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On starlike functions [PDF]