On a new subclass of harmonic meromorphic functions with fixed residue [xi]

On a new subclass of harmonic meromorphic functions with fixed residue [xi]

We use the differential operator [D.sup.n,[mu].sub.[lambda],[delta],[phi]] to introduce a new class [SH.sup.n,[gamma],[beta],[xi].sub.[lambda],[delta],[phi],[mu]](w, k, [alpha]) of meromorphic harmonic functions with fixed residue [xi] in [U.sub.w]. Then we give the coefficient estimates, distortion...

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Veröffentlicht in:TWMS journal of applied and engineering mathematics 2014-01, Vol.4 (1), p.92
Hauptverfasser: Sakar, F. Muge, Guney, H. Ozlem
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applied mathematics
Harmonic analysis
Harmonic functions
Mathematical analysis
Modular arithmetic
Theorems
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Zusammenfassung:We use the differential operator [D.sup.n,[mu].sub.[lambda],[delta],[phi]] to introduce a new class [SH.sup.n,[gamma],[beta],[xi].sub.[lambda],[delta],[phi],[mu]](w, k, [alpha]) of meromorphic harmonic functions with fixed residue [xi] in [U.sub.w]. Then we give the coefficient estimates, distortion theorem and extreme points of classes [SH.sup.n,[gamma],[beta],[xi].sub.[lambda],[delta],[phi],[mu]](w, k, [alpha]) and [SH.sup.n,[gamma],[beta],[xi].sub.[lambda],[delta],[phi],[mu]][w, k, [alpha]]. Keywords: Harmonic functions, Meromorphic functions, Differential operator.
ISSN:2146-1147
2146-1147