On a new subclass of Ruscheweyh-type harmonic multivalent functions

Yaşar E., Yalcin S.

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2013
  • Doi Number: 10.1186/1029-242x-2013-271
  • Journal Name: JOURNAL OF INEQUALITIES AND APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: harmonic, multivalent, Ruscheweyh derivative operator, neighborhood, P-VALENT FUNCTIONS, UNIVALENT-FUNCTIONS, NEGATIVE COEFFICIENTS, NEIGHBORHOODS
  • Bursa Uludag University Affiliated: Yes

Abstract

We introduce a certain subclass of harmonic multivalent functions defined by using a Ruscheweyh derivative operator. We obtain coefficient conditions, distortion bounds, extreme points, convex combination for the above class of harmonic multivalent functions. We also derive inclusion relationships involving the neighborhoods of harmonic multivalent functions belonging to this subclass.