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 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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
@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/