Class of Analytic Functions with Varying Argument and Complex Coefficients

In this paper,we introduce and investigate the new class G_(φ_1,φ_2,φ_3,φ_4)(m_1,m_2,m_3,m_4;λ)of analytic functions with complex coefficients,which are univalent and normalized in the open unit disk.We obtain some interesting properties on G_(φ_1,φ_2,φ_3,φ_4)(m_1,m_2,m_3,m_4;λ) and get the extreme points and support points for the subclass G'_(φ_1,φ_2,φ_3,φ_4)(m_1,m_2,m_3,m_4;λ) of G_(φ_1,φ_2,φ_3,φ_4)(m_1,m_2,m_3,m_4;λ).Also,the radius problems for G_(φ_1,φ_2,φ_3,φ_4)(m_1,m_2,m_3,m_4;λ) associated with convex functions of order α are discussed.Some consequences of our main results for earlier classes are pointed out.