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 V_k be the class of analytic normalised functions of bounded boundary rotation defined in the open disc D by

with z = re^iө For  and given by , sharp bounds are obtained for the functional  when μ is real.

ABSTRAK

Untuk k2, katalah V_k kelas fungsi analisis temormal dengan putaran sempadan terbatas yang tertakrif di dalam cakera terbuka D oleh

dengan z = re^iө. Untuk dan , batas atas terbaik diperoleh untuk fungsian apabila μ adalah nyata.

RUJUKAN/REFERENCES

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

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