Coefficient Estimates for the Functions with Respect to Symmetric Conjugate Points Connected with the Combination Binomial Series and Babalola Operator and Lucas Polynomials

By using Lucas polynomials, we define a new subclass of analytic bi-univalent functions, class Sigma, in the open unit disc with respect to symmetric conjugate points connected with the combination Binomial series and Babalola operator. The bounds on the initial coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar for the functions in this new subclass of sigma are investigated. Moreover, we obtain an estimation for the Fekete-Szego problem for the function subclass defined in this paper. Relevant connections of these results are presented here as corollaries.