A subclass of harmonic meromorphic functions
نویسندگان
چکیده
منابع مشابه
On a New Subclass of Harmonic Meromorphic Functions with Fixed Residue Ξ
f = u + iv is a complex harmonic function in a domain D if both u and v are real continuous harmonic functions in D. In any simply connected domain D ⊂ C, f is written in the form of f = h+g, where both h and g are analytic in D. We call h the analytic part and g the co-analytic part of f . A necessary and sufficient condition for f to be locally univalent and orientation preserving in D is tha...
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The class of univalent harmonic functions on the unit disc satisfying the condition ∑∞ k=2 (k m − αk)(|ak|+ |bk|) ≤ (1−α)(1−|b1|) is given. Sharp coefficient relations and distortion theorems are given for these functions. In this paper we find that many results of Özturk and Yalcin [5] are incorrect. Some of the results of this paper correct the theorems and examples of [5]. Further, sharp coe...
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ژورنال
عنوان ژورنال: International Journal of Contemporary Mathematical Sciences
سال: 2007
ISSN: 1314-7544
DOI: 10.12988/ijcms.2007.07118