On α-convex functions related to shell-like functions connected with Fibonacci numbers

Abstract: This paper presents a new class of functions f(z) analytic and normalized in the open unit disc (which is related to a shell-like curve and associated with Fibonacci numbers) satisfying the condition thatwhere α is a real number andThe class being closely related to the classes of starlike and convex functions, we apply some basic techniques to investigate certain interesting properties (given below) for this class of functions. Some important observations of the main results are also mentioned. [Copyright &y& Elsevier]