On Some Subclasses of Analytic Functions With Negative Coefficients using a Convolution Approach

In this work, we introduce and investigate new subclasses E_{m,n}(\Phi,\Psi;A,B,\alpha,\beta,\gamma) and \tilde{E}_{m,n}(\Phi,\Psi;A,B,\alpha,\beta,\gamma) of analytic functions by making use of the familiar convolution structure of analytic functions whose Taylor-Maclaurin coefficients from the second onwards are all negative. In particular, we derive the coefficient inequalities and some other interesting properties for functions belonging to these subclasses. Our results generalize some earlier known results.