Hankel Determinant for p-Valent Alpha-Convex Functions. (8th October 2013)

• Record Type: Journal Article
• Authors: Singh, Gagandeep; Mehrok, B. S.
• Other Names: Saadati Reza Academic Editor.
• Is Part Of: Geometry. Volume 2013(2013)
• Publication Date: 2013-10-08
• Subjects: Geometry -- Periodicals; Geometry; Periodicals; 516
• DOI: 10.1155/2013/348251
• Languages: English
• ISSNs: 2314-422X

Abstract

Abstract : The objective of the present paper is to obtain the sharp upper bound of | a p + 1 a p + 3 − a p + 2 2 | for p -valent α -convex functions of the form f ( z ) = z p + ∑ k = p + 1 ∞ a k z k in the unit disc E = { z : | z | < 1 } .