Coefficient bounds for some subclasses of p-valently starlike functions

C. Selvaraj; O. S. Babu; G. Murugusundaramoorthy

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Displaying similar documents to “Coefficient bounds for some subclasses of p-valently starlike functions”

Univalence, strong starlikeness and integral transforms

M. Obradović, S. Ponnusamy, P. Vasundhra (2005)

Annales Polonici Mathematici

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Let represent the class of all normalized analytic functions f in the unit disc Δ. In the present work, we first obtain a necessary condition for convex functions in Δ. Conditions are established for a certain combination of functions to be starlike or convex in Δ. Also, using the Hadamard product as a tool, we obtain sufficient conditions for functions to be in the class of functions whose real part is positive. Moreover, we derive conditions on f and μ so that the non-linear integral...

Generalized classes of starlike and convex functions of order $α$ .

Owa, Shigeyoshi, Shen, C.Y. (1985)

International Journal of Mathematics and Mathematical Sciences

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Uniformly starlike functions and uniformly convex functions related to the Pascal distribution

Gangadharan Murugusundaramoorthy, Sibel Yalçın (2021)

Mathematica Bohemica

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In this article, we aim to find sufficient conditions for a convolution of analytic univalent functions and the Pascal distribution series to belong to the families of uniformly starlike functions and uniformly convex functions in the open unit disk $𝕌$ . We also state corollaries of our main results.

Sufficient conditions for starlike and convex functions

S. Ponnusamy, P. Vasundhra (2007)

Annales Polonici Mathematici

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For n ≥ 1, let denote the class of all analytic functions f in the unit disk Δ of the form $f (z) = z + \sum_{k = 2}^{\infty} a_{k} z^{k}$ . For Re α < 2 and γ > 0 given, let (γ,α) denote the class of all functions f ∈ satisfying the condition |f’(z) - α f(z)/z + α - 1| ≤ γ, z ∈ Δ. We find sufficient conditions for functions in (γ,α) to be starlike of order β. A generalization of this result along with some convolution results is also obtained.