Generalized Cesaro Operators and Integral Tranforms on Function Spaces

In this book an attempt has been made to study the boundedness properties of generalized Cesaro operators on different function spaces. Also two parameter family of close-to-convex functions are generated by using coefficient conditions and univalency of certain weighted integral transforms are obtained. As a consequence, conditions on the parameters are obtained for hypergeometric functions to be univalent. Based on the Borel transform and Hadamard multiplication theorem, interesting results on the growth of entire functions de ned by convolution are obtained. In particular, certain results related to con uent hypergeometric functions are obtained using Steiltjes transform.

Autorentext
Dr.Sunanda Naik is a faculty in Department of Applied Sciences, Gauhati University. She received her Ph.D in Mathematics from Indian Institute of Technology Madras, India in 2004.Her areas of interest are complex analysis, special functions and theory of function spaces. She has published several research article in theory of function spaces.