Comprehensive Subfamilies of Bi-Univalent Functions Defined by Error Function Subordinate to Euler Polynomials

Recently, several researchers have estimated the Maclaurin coefficients, namely q2 and q3, and the Fekete–Szegö functional problem of functions belonging to some special subfamilies of analytic functions related to certain polynomials, such as Lucas polynomials, Legendrae polynomials, Chebyshev polynomials, and others. This study obtains the bounds of coefficients q2 and q3, and the Fekete–Szegö functional problem for functions belonging to the comprehensive subfamilies T(ζ,ϵ,δ) and J(φ,δ) of analytic functions in a symmetric domain U, using the imaginary error function subordinate to Euler polynomials. After specializing the parameters used in our main results, a number of new special cases are also obtained.