Certain integral operator and strongly starlike functions. (30th May 2002)

• Record Type: Journal Article
• Authors: Liu, Jin-Lin
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 30:Number 9(2002)
• Page Start: 569
• Page End: 574
• Publication Date: 2002-05-30
• Subjects: Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S016117120200786X
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : LetS ∗ ( ρ, γ ) denote the class of strongly starlike functions of orderρ and typeγ and letC ( ρ, γ ) be the class of strongly convex functions of orderρ and typeγ . By making use of an integral operator defined by Jung et al. (1993), we introduce two novel families of strongly starlike functionsS β α ( ρ, γ ) andC β α ( ρ, γ ) . Some properties of these classes are discussed.