In the present paper, the authors introduce two new subclasses Ssc(k)(λ,α) of close-to-convex functions and Csc(k)(λ,α) of quasi-convex functions with respect to 2k-symmetric conjugate points. The integral representations and convolution conditions for these classes are provided. Some coefficient inequalities for functions belonging to these classes and their subclasses with negative coefficients are also provided.
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