Certain operational techniques and their applications in analytic and univalent function theory (Q2711303)

Here the author illustrates the usefulness (in the study of univalent, starlike, and convex generalized hypergeometric functions) of certain families of linear operators which are defined in terms of fractional derivatives and fractional integrals, Hadamard product or convolution, and so on. A systematic discussion of some properties and theorems involving starlike functions and various families of integral operators are discussed. Further, several inclusion theorems are proved, which are associated with the Hardy space of analytic functions, which hold true for various classes of generalized hypergeometric functions whose derivatives has a positive real part.NEWLINENEWLINEFor the entire collection see [Zbl 0958.00011].