Certain Classes of Bi-Univalent Functions of Complex Order Associated with Quasi-Subordination Involving $(p,q)$-Derivative Operator
Kragujevac Journal of Mathematics, Tome 44 (2020) no. 4, p. 639

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In this present paper, as applications of the post-quantum calculus known as the $(p,q)$-calculus, we construct a new class $\boldsymbol{D}_{p,q}^{k}\left( \gamma ,\zeta ,\Psi \right) $ of bi-univalent functions of complex order defined in the open unit disk. Coefficients inequalities and several special consequences of the results are obtained.
Classification : 30C45 33D15
Keywords: coefficient bounds, bi-univalent functions, quasi-subordination, $q$-calculus, $(p;q)$-derivative operator
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     author = {\c{S}. Alt{\i}nkaya and S. Yal\c{c}{\i}n},
     title = {Certain {Classes} of {Bi-Univalent} {Functions} of {Complex} {Order} {Associated} with {Quasi-Subordination} {Involving} $(p,q)${-Derivative} {Operator}},
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Ş. Altınkaya; S. Yalçın. Certain Classes of Bi-Univalent Functions of Complex Order Associated with Quasi-Subordination Involving $(p,q)$-Derivative Operator. Kragujevac Journal of Mathematics, Tome 44 (2020) no. 4, p. 639 . http://geodesic.mathdoc.fr/item/KJM_2020_44_4_a12/