Abstract
In the present paper, we introduce and investigate a new subcategory H_Σ (q,β;ς) of analytic and bi-univalent functions in the open unit disk D based on the ideas of q-derivative operator and subordination. For the functions belong to the subcategory H_Σ (q,β;ς) , upper bounds for the second and third coefficients are found and some special outcomes of the main result are also presented.
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