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Starlikeness of multivalent meromorphic harmonic functions

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Abstract

We give sufficient coefficient conditions for starlikeness of aclass of complex-valued multivalent meromorphic harmonic andorientation preserving functions in outside of the unit disc.These coefficient conditions are also shown to be necessary if thecoefficients of the analytic part of the harmonic functions arepositive and the coefficients of the co-analytic part of theharmonic functions are negative. We then determine the extremepoints, distortion bounds, convolution and convex combinationconditions for these functions.

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