A CRITERION FOR BOUNDED FUNCTIONS

Title & Authors
A CRITERION FOR BOUNDED FUNCTIONS
Nunokawa, Mamoru; Owa, Shigeyoshi; Sokol, Janusz;

Abstract
We consider a sufficient condition for w(z), analytic in $\small{{\mid}z{\mid}}$ < 1, to be bounded in $\small{{\mid}z{\mid}}$ < 1, where $w(0) Keywords analytic;meromorphic;convex;starlike;univalent;Nunokawa`s lemma;Briot-Bouquet;differential subordination; Language English Cited by 1. NOTES ON THE PAPER "A CRITERION FOR BOUNDED FUNCTIONS" [BULL. KOREAN MATH. SOC. 53 (2016), NO. 1, 215-225],;; 대한수학회보, 2016. vol.53. 6, pp.1909-1911 1. NOTES ON THE PAPER "A CRITERION FOR BOUNDED FUNCTIONS" [BULL. KOREAN MATH. SOC. 53 (2016), NO. 1, 215-225], Bulletin of the Korean Mathematical Society, 2016, 53, 6, 1909 References 1. H. Al-Amiri and P. T. Mocanu, Some simple criteria of starlikeness and convexity for meromorphic functions, Mathematica 37(60) (1995), no. 1-2, 11-21. 2. S. Fukui and K. Sakaguchi, An extension of a theorem of S. Ruscheweyh, Bull. Fac. Ed. Wakayama Univ. Natur. Sci. 29 (1980), 1-3. 3. I. S. Jack, Functions starlike and convex of order${\alpha}\$, J. London Math. Soc. 3 (1971), 469-474.

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