SOME PROPERTIES OF CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS BY USING GENERALIZED RUSCHEWEYH DERIVATIVE OPERATOR

Deniz E., ORHAN H.

CZECHOSLOVAK MATHEMATICAL JOURNAL, cilt.60, sa.3, ss.699-713, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 60 Sayı: 3
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1007/s10587-010-0064-9
  • Dergi Adı: CZECHOSLOVAK MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.699-713
  • Anahtar Kelimeler: neighborhoods, partial sums, integral means, generalized Ruscheweyh derivative, UNIVALENT-FUNCTIONS, CONVEX-FUNCTIONS, NEIGHBORHOODS, INEQUALITIES, STARLIKE
  • Atatürk Üniversitesi Adresli: Evet

Özet

By making use of the known concept of neighborhoods of analytic functions we prove several inclusions associated with the (j, delta)-neighborhoods of various subclasses of starlike and convex functions of complex order b which are defined by the generalized Ruscheweyh derivative operator. Further, partial sums and integral means inequalities for these function classes are studied. Relevant connections with some other recent investigations are also pointed out.