Starlikness Associated with Cosine Hyperbolic Function
Abdullah Alotaibi, Muhammad Arif, Mohammed Alghamdi, Shehzad Hussain
Abstract
The main contribution of this article is to define a family of starlike functions associated with a cosine hyperbolic function. We investigate convolution conditions, integral preserving properties, and coefficient sufficiency criteria for this family. We also study the differential subordinations problems which relate the Janowski and cosine hyperbolic functions. Furthermore, we use these results to obtain sufficient conditions for starlike functions connected with cosine hyperbolic function.
Topics & Concepts
Hyperbolic functionConvolution (computer science)Trigonometric functionsMathematicsDiscrete cosine transformFunction (biology)Sine and cosine transformsPure mathematicsMathematical analysisFourier transformComputer scienceGeometryImage (mathematics)Artificial intelligenceFourier analysisEvolutionary biologyShort-time Fourier transformArtificial neural networkBiologyAnalytic and geometric function theoryHolomorphic and Operator Theory