Sains Ma1aysiana 28: 141-149 (1999) Pengajian Kuantitatif/
Quantitative Studies
Functions of Bounded Boundary Rotation
Maslinda Darus
Department of Mathematics
Faculty of Mathematical Sciences, Universiti Kebangsaan Malaysia
43600 UKM Bangi, Selangor D.E. Malaysia
ABSTRACT
For 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.
ABSTRAK
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.
RUJUKAN/REFERENCES
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.
Lowner, K. 1917. Untersuchungen tiber die verzerrung die konformen abbildungen des einheitskreises , verschwindender ableifert geleifert werden. Ber. Verh. Sachs. Ges. Wiss. Leipzig. 69: 89-106
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.
|