### On certain classes of analytic functions

R. Parvatham, S. Radha (1988)

Annales Polonici Mathematici

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R. Parvatham, S. Radha (1988)

Annales Polonici Mathematici

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Darus, Maslina (2005)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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M. Aouf, A. Shamandy, A. Mostafa, S. Madian (2010)

Annales UMCS, Mathematica

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Let A denote the class of analytic functions with the normalization f(0) = f'(0) - 1 = 0 in the open unit disc U = {z : |z| < 1}. Set [...] and define ∞nλ, μ in terms of the Hadamard product [...] . In this paper, we introduce several subclasses of analytic functions defined by means of the operator Inλ, μ A → A, given by [...] . Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered.

Tuneski, Nikola, Irmak, Hüseyin (2006)

International Journal of Mathematics and Mathematical Sciences

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Ratti, J.S. (1980)

International Journal of Mathematics and Mathematical Sciences

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Silvia, E.M. (1983)

International Journal of Mathematics and Mathematical Sciences

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S. Ponnusamy, P. Vasundhra (2005)

Annales Polonici Mathematici

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Let 𝓐 denote the class of all normalized analytic functions f (f(0) = 0 = f'(0)-1) in the open unit disc Δ. For 0 < λ ≤ 1, define 𝓤(λ) = {f ∈ 𝓐 : |(z/f(z))²f'(z) - 1| < λ, z ∈ Δ} and 𝓟(2λ) = f ∈ 𝓐 : |(z/f(z))''| < 2λ, z ∈ Δ.cr Recently, the problem of finding the starlikeness of these classes has been considered by Obradović and Ponnusamy, and later by Obradović et al. In this paper, the authors consider the problem of finding...

Frasin, B.A., Darus, M. (2009)

Journal of Inequalities and Applications [electronic only]

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J. Patel (1992)

Matematički Vesnik

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Owa, Shigeyoshi, Liquan, Liu, Ma, Wancang (1988)

International Journal of Mathematics and Mathematical Sciences

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Ali, Rosihan M., Ravichandran, V., Seenivasagan, N. (2006)

International Journal of Mathematics and Mathematical Sciences

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Mohamed Aouf, Rabha El-Ashwah (2009)

Annales UMCS, Mathematica

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Let A denote the class of analytic functions with normalization [...] in the open unit disk [...] Set [...] and define [...] in terms of the Hadamard product [...] In this paper, we introduce several new subclasses of analytic functions defined by means of the operator [...] [...] .Inclusion properties of these classes and the classes involving the generalized Libera integral operator are also considered.

Aouf, M.K., Darwish, H.E., Attiya, A.A. (2000)

Mathematica Pannonica

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Cho, Nak Eun (2008)

Abstract and Applied Analysis

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