Exponential starlikeness and convexity of confluent hypergeometric, Lommel and Struve functions

2019/08/20 by Naz, Adiba, Nagpal, Sumit, Ravichandran, V.
#30C10 #30C45 #30C80 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1908.07266

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.

Related

• Subordination Involving Gauss Hypergeometric Function
• Radii of starlikeness and convexity of generalized Struve functions
• Coefficient Conditions for Harmonic Univalent Mappings and Hypergeometric Mappings
• Some Characterizations on the Normalized Lommel, Struve and Bessel Functions of the First Kind
• On strongly starlike and convex functions of order alpha and type beta