An Integral Representation of a Family of Slit Mappings

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References

[1] P. L. Duren, “Univalent Functions,” Springer-Verlag, New York, 1983.

[2] D. J. Hallenbeck and T. H. MacGregor, “Linear Problems and Convexity Techniques in Geometric Function The- ory,” Pitman Publishing Ltd., London, 1984.

[3] D. A. Brannan, J. G. Clunie and W. E. Kirwan, “On the Coefficient Problem for Functions of Bounded Boundary Rotation,” Annales Academiae Scientiarum Fennicae. Series AI. Mathematica, Vol. 523, 1972, pp. 403-489.

[4] T. H. MacGregor and M. P. Sterner, “Hadamard Products with Power Functions and Multipliers of Hardy Spaces,” Journal of Mathematical Analysis and Applications, Vol. 282, No. 1, 2003, pp. 163-176.
doi:10.1016/S0022-247X(03)00128-8

[5] P. L. Duren, “Theory of Hp Spaces,” Academic Press, New York, 1970.