Generalized Cesaro Operators and Integral Tranforms on Function Spaces.

      Аннотация: 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.

Ключевые слова: Convolution, Hypergeometric Functions, generalized cesaro operators, univalent functions