An invitation to the study of univalent and multivalent functions.
Goodman, A.W. (1979)
International Journal of Mathematics and Mathematical Sciences
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Goodman, A.W. (1979)
International Journal of Mathematics and Mathematical Sciences
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Salmassi, Mohammad (1986)
International Journal of Mathematics and Mathematical Sciences
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Yusuf Avci (1991)
Annales Polonici Mathematici
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Frasin, B.A., Darus, M. (2009)
Journal of Inequalities and Applications [electronic only]
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Lachance, M. (1980)
International Journal of Mathematics and Mathematical Sciences
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Nunokawa, Mamoru, Owa, Shigeyoshi, Saitoh, Hitoshi, Takahashi, Norihiro (2002)
General Mathematics
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Trimble, S.Y. (1987)
International Journal of Mathematics and Mathematical Sciences
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Szymon Ignaciuk (2009)
Annales UMCS, Mathematica
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We consider the problem of univalence of the integral operator [...] Imposing on functions f(z), g(z) various conditions and making use of a close-to-convexity property of the operator, we establish many suffcient conditions for univalence. Our results extend earlier ones. Some questions remain open.
J. T. Poole (1968)
Annales Polonici Mathematici
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Józef Baranowicz (1976)
Annales Polonici Mathematici
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Al-Amiri, H.S., Fernando, Thotage S. (1990)
International Journal of Mathematics and Mathematical Sciences
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Sumit Nagpal, V. Ravichandran (2012)
Annales Polonici Mathematici
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By using the theory of first-order differential subordination for functions with fixed initial coefficient, several well-known results for subclasses of univalent functions are improved by restricting the functions to have fixed second coefficient. The influence of the second coefficient of univalent functions becomes evident in the results obtained.
Silverman, H., Silvia, E.M. (1979)
International Journal of Mathematics and Mathematical Sciences
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Najafzadeh, Sh., Ebadian, A., Gordji, M.Eshaghi (2009)
The Journal of Nonlinear Sciences and its Applications
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O. Tammi (1967)
Colloquium Mathematicae
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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...