A critical investigation of various subclasses of functions whose real part is bounded. (1981)

• Record Type: Journal Article
• Authors: Bajpai, S. K.
• Is Part Of: International journal of mathematics and mathematical sciences. Volume 4:Number 1(1981)
• Page Start: 89
• Page End: 99
• Publication Date: 1981
• Subjects: univalent starlike -- convex -- spiral like -- bounded functions -- functions with positive real part; Mathematics -- Periodicals; 510.5
• DOI: 10.1155/S0161171281000057
• Languages: English
• ISSNs: 0161-1712

Abstract

Abstract : In this paper we investigate various subclasses of univalent analytic functions. We find that many of the subclasses introduced in the recent years are no more new and infact coincide with the class due to Jakubowski. We further study the generalised Jakubowski class of univalent functions and obtain a representational formula and use it in deriving the coefficient relations for this class