Some inequalities concerning starlike and convex function.
Mannino, Antonino (2004)
General Mathematics
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Mannino, Antonino (2004)
General Mathematics
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M. Obradović (1983)
Matematički Vesnik
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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...
Sunder Singh, Ram Singh (1986)
Colloquium Mathematicae
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Agnieszka Wiśniowska-Wajnryb (2013)
Annales Polonici Mathematici
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We geometrically define subclasses of starlike functions related to the class of uniformly starlike functions introduced by A. W. Goodman in 1991. We give an analytic characterization of these classes, some radius properties, and examples of functions in these classes. Our classes generalize the class of uniformly starlike functions, and many results of Goodman are special cases of our results.
Singh, Sukhjit (1991)
International Journal of Mathematics and Mathematical Sciences
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Józef Waniurski (1976)
Annales Polonici Mathematici
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Subramanian, K.G., Sudharsan, T.V., Silverman, Herb (2003)
International Journal of Mathematics and Mathematical Sciences
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Al-Amiri, H.S. (1985)
International Journal of Mathematics and Mathematical Sciences
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Fukui, Seichi (1997)
International Journal of Mathematics and Mathematical Sciences
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Noor, Khalida Inayat (1992)
International Journal of Mathematics and Mathematical Sciences
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Shanmugam, T.N. (1989)
International Journal of Mathematics and Mathematical Sciences
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Owa, Shigeyoshi, Liquan, Liu, Ma, Wancang (1988)
International Journal of Mathematics and Mathematical Sciences
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F. Ahmad (1987)
Matematički Vesnik
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