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
Keywords: coefficient bounds, bi-univalent functions, quasi-subordination, $q$-calculus, $(p;q)$-derivative operator
@article{KJM_2020_44_4_a12,
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}},
journal = {Kragujevac Journal of Mathematics},
pages = {639 },
publisher = {mathdoc},
volume = {44},
number = {4},
year = {2020},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KJM_2020_44_4_a12/}
}
TY - JOUR AU - Ş. Altınkaya AU - S. Yalçın TI - Certain Classes of Bi-Univalent Functions of Complex Order Associated with Quasi-Subordination Involving $(p,q)$-Derivative Operator JO - Kragujevac Journal of Mathematics PY - 2020 SP - 639 VL - 44 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/KJM_2020_44_4_a12/ LA - en ID - KJM_2020_44_4_a12 ER -
%0 Journal Article %A Ş. Altınkaya %A S. Yalçın %T Certain Classes of Bi-Univalent Functions of Complex Order Associated with Quasi-Subordination Involving $(p,q)$-Derivative Operator %J Kragujevac Journal of Mathematics %D 2020 %P 639 %V 44 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/KJM_2020_44_4_a12/ %G en %F KJM_2020_44_4_a12
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/