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Exponential starlikeness and convexity of confluent hypergeometric, Lommel and Struve functions (1908.07266v1)
Published 20 Aug 2019 in math.CV
Abstract: Sufficient conditions are obtained on the parameters of Lommel function of the first kind, generalized Struve function of the first kind and the confluent hypergeometric function under which these special functions become exponential convex and exponential starlike in the open unit disk. The method of differential subordination is employed in proving the results. Few examples are also provided to illustrate the results obtained.