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Functions of Bounded Boundary Rotation

Maslinda Darus, (1999) Functions of Bounded Boundary Rotation. Sains Malaysiana , 28 . pp. 141-149. ISSN 01266039

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Official URL: http://pkukmweb.ukm.my/~jsm/english_journals/vol28_1999/vol28_99page141-149.html

Affiliations

Universiti Kebangsaan Malaysia, Faculty of Mathematical Sciences. Dept. of Mathematics

Abstract

or k2, let Vk be the class of analytic normalised functions of bounded boundary rotation defined in the open disc D by
with z = reiө For and given by , sharp bounds are obtained for the functional when μ is real.

Untuk k2, katalah Vk kelas fungsi analisis temormal dengan putaran sempadan terbatas yang tertakrif di dalam cakera terbuka D oleh dengan z = reiө. Untuk dan , batas atas terbaik diperoleh untuk fungsian apabila μ adalah nyata.

Item Type:Journal
Additional Information:This note was added by the search_and_modify.pl script.
Subjects:Q Science, Computer Science
ID Code:3172

Abdel-Gawad, H.R. & Thomas, D.K. 1992. The Fekete-Szego problem for strongly close-to-convex functions. Proc. Amer. Math. Soc. 114: 345-349.

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Lehto, O. 1952. On the distortion of conformal mappkings with bounded boundary rotation. Ann. Acad. Sci. Fennicae.

Paatero, V. 1931. Uber die konforme Abbildung von gebieten deren rander von beschrankter drehrung sind. Ann. Acad. Sci. Fenn. Ser. 9: 1-77.

Paatero, V. 1933. Uber gebieten von beschrankter randdrehrung. Ann. Acad. Sci. Fenn. (Ser. A) 37: 1-20.

Schober, G. 1975. Univalent functions-selected topics. Lecture Note Series. Vol. 478. Berlin: Springer-Verlag.

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