On lambda-pseudo bi-starlike functions with respect to symmetric points associated to shell-like curves

Abstract

In this paper we define a new subclass lambda-pseudo bi-starlike functions with respect to symmetric points of Sigma related to shell-like curves connected with Fibonacci numbers and determine the initial Taylor-Maclaurin coefficients vertical bar alpha(2)vertical bar and vertical bar alpha(3)vertical bar for f is an element of PSLs,Sigma lambda (alpha,(p) over tilde (z)). Further we determine the Fekete-Szego result for the function class PSL lambda(s,Sigma)(alpha,(p) over tilde (z)) and for special cases, corollaries are stated which some of them are new and have not been studied so far.