CERTAIN BOUNDS FOR UNIFIED CONVEX
FUNCTIONS OF q-DIFFERENCE OPERATOR
C. Ramachandran1, L. Vanitha2, S. Owa3
1,2University College of Engineering
Villupuram Anna University
Villupuram, 605 103, Tamil Nadu, INDIA
3Yamato University
Katayama 2-5-1, Suita, Osaka 564 - 0082, JAPAN
Abstract. The aim of this paper is to establish coefficient bounds for certain classes of analytic functions of complex order associated with the q-derivative operator. Some applications of these results for the functions defined through convolution are also obtained.
AMS Subject Classification: 30C45, 30C50, 30C55
Key Words and Phrases: analytic function, univalent function, Schwarz function, q-derivative operator, subordination


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DOI: 10.12732/ijam.v29i2.8

Volume: 29
Issue: 2
Year: 2016