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A new class of harmonic univalent functions dened by an operator

Luminita Ioana Cotirla, Adriana Catas

Abstract


Using the Salagean derivative we dene and study a generalized family of complex valued harmonic
functions that are univalent, sense-preserving and are associated with uniformly harmonic functions in the
unit disc. We obtain coecient inequalities, extreme points, distortion bounds, convolution conditions and
convex combination for the functions in our class.

Keywords


harmonic multivalent functions, uniformly harmonic starlike.

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DOI: http://dx.doi.org/10.14510%2Flm-ns.v0i0.1385