فهرست نشریات علمی دسترسی آزاد ایران

Making use of the convolution product, we introduce a unified class of analytic functions with negative coefficients. Also, we obtain the coefficient bounds, extreme points and radius of starlikeness for functions belonging to the generalized class $ \mathcal{TP}_{\vartheta,\tau}^{a,c}(\alpha ,\beta).$  Furthermore, partial sums $f_k(z)$ of functions $f(z)$ in the class $\mathcal{P}_{\vartheta,\tau}^{a,c}(\alpha ,\beta)$ are considered and sharp lower bounds for the ratios of real part of $f(z)$ to $f_k(z)$ and $f'(z)$ to $f'_k(z)$ are determined. Relevant connections of the results with various known results are also considered.