CERTAIN CLASSES OF THE MEROMORPHIC HARMONIC FUNCTIONS WITH A POLE AT SOME FIXED POINT OF THE UNIT DISK

Ozturk M., Bostanci H.

TAIWANESE JOURNAL OF MATHEMATICS, cilt.14, sa.4, ss.1417-1428, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 4
  • Basım Tarihi: 2010
  • Doi Numarası: 10.11650/twjm/1500405957
  • Dergi Adı: TAIWANESE JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1417-1428
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

The class S(H)(p), 0 <= p < 1, of complex valued, meromorphic harmonic univalent sense-preserving functions in the unit disk U\{p} is studied The functions belong to S(H)(p) have the expansion f(z) = a/z-p + Sigma(infinity)(n=0) c(n)z(n) + <(Sigma(infinity)(n=1) d(n)z(n))over bar> + A log vertical bar z - p vertical bar and (z -> p)limf(z) = infinity. Some coefficient estimates, distortion and area theorems are obtained. Sufficient coefficient conditions for a class of meromorphic harmonic univalent sense-preserving functions that are starlike and convex are given.