Inequalities for the Moduli of Circumferentially mean p -Valent Functions

Verfasser / Beitragende:
[V. Dubinin]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 207/6(2015-06-01), 832-838
Format:
Artikel (online)
ID: 605522421
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100 1 |a Dubinin  |D V.  |u Far Eastern Federal University, Vladivostok, Russia  |4 aut 
245 1 0 |a Inequalities for the Moduli of Circumferentially mean p -Valent Functions  |h [Elektronische Daten]  |c [V. Dubinin] 
520 3 |a Let f be a circumferentially mean p-valent function in the disk |z| < 1 with Montel's normalization f(0) = 0, f(ω) = ω (0 < ω < 1). Under an additional assumption on the covering of concentric circles by f, sharp lower and upper bounds on the modulus |f(z)| for some z ∈ (−1, 0) are established. It is shown that for nontrivial bounds to hold, such an assumption is necessary. Bibliography: 15 titles. 
540 |a Springer Science+Business Media New York, 2015 
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950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 207/6(2015-06-01), 832-838  |x 1072-3374  |q 207:6<832  |1 2015  |2 207  |o 10958