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On Janowski Starlike Functions [PDF]
Journal of Inequalities and Applications, 2007 For analytic functions in the open unit disc with and , applying the fractional calculus for , a new fractional operator is introduced. Further, a new subclass consisting of associated with Janowski function is defined. The objective of the present paper is to discuss some interesting properties of the class .
Çağlar, Mert +4 more
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On the Order of a Starlike Function [PDF]
Transactions of the American Mathematical Society, 1971 It is shown that if f ∈ S f \in S , the class of normalised starlike functions in the unit disc Δ \operatorname {disc} \Delta , then \[ ( i ) lim r → 1
D. K. Thomas, F. Holland
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On a generalization of starlike functions [PDF]
Indagationes Mathematicae, 2021 12 pages.
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A cardioid domain and starlike functions [PDF]
Analysis and Mathematical Physics, 2021 We introduce and study a class of starlike functions defined by \begin{equation*} \mathscr{S}^*_\wp:=\left\{f\in\mathcal{A}: \frac{zf'(z)}{f(z)}\prec 1+ze^z=:\wp(z)\right\}, \end{equation*} where $\wp$ maps the unit disk onto a cardioid domain.
S. Sivaprasad Kumar, G. Kamaljeet
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Proceedings of the American Mathematical Society, 1985 In the present paper, among other things, we prove that if f (f (O) = 0, f'(O) = 1) is regular and odd starlike in Izi 1/2, 7. 1/2, IzI < 1. As an application, we show that each partial sum of an odd convex function is close-to-convex in lzl
Sangita Puri, Ram Lakhan Singh
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Bulletin of the Australian Mathematical Society, 1980 Let S denote the class of functions f analytic and univalent in the open disc {z: |z| < 1} and normalized by f(0) = 0 = f′(0) − 1, and S*(α) denote the set of starlike functions of order α (0 ≤ α ≤ 1) in S. In this paper, the results of William M. Causey and William L. White [J. Math. Anal. Appl.
V.P. Gupta, Iqbal Ahmad
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Sufficient Conditions for Starlike Functions Associated with the Lemniscate of Bernoulli [PDF]
, 2013 Let -1\leq ...
Cho, Nak Eun +3 more
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Proceedings of the American Mathematical Society, 1974 Let S ∗ [ α ] {\mathcal {S}^\ast }[\alpha ] denote the class of functions f ( z ) = z + ∑ n = 2 ∞
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Starlike Meromorphic Functions [PDF]
Proceedings of the American Mathematical Society, 1972 In this paper we study meromorphic univalent functions which map the unit disk onto the exterior of a domain which is starlike with respect to some finite point different from the origin. We obtain bounds on the arc length, an integral representation, and bounds on the maximum modulus of starlike meromorphic functions.
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On radii of starlikeness and convexity for convolutions of starlike functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper, we obtain the radiuses of univalence, starlikeness and convexity for convolutions of starlike functions.
Shusen Ding, Yi Ling
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