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## Faber Polynomial Coefficients Estimates of Bi-univalent Functions Associated with Generalized Salagean q-Differential Operator

#### Sibel Yalçın [1] , Shahid Khan [2] , Saqib Hussain [3]

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In this paper, we introduce a new subclass of analytic and bi-univalent functions by using generalized Salagean $q$-differential operator in open unit disc $E=\left \{ z:z\in \mathbb{C} \text{ and }\left \vert z\right \vert <1\right \}$. By using Faber polynomial expansions and $q-$analysis to find a general coefficient bounds $|a_{n}|,$ for $n\geq 3,$ of class of bi-subordinate functions, also find initial coefficients bounds$.$ We also highlight some known consequences of our main results.

Bi-univalent function, Faber polynomial expansions, Generalized Salagean q-Differential Operator
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Primary Language en Engineering Articles Author: Sibel Yalçın (Primary Author)Institution: BURSA ULUDAĞ ÜNİVERSİTESİCountry: Turkey Author: Shahid KhanInstitution: Riphah International UniversityCountry: Pakistan Author: Saqib HussainInstitution: COMSATS Institute of Information TechnologyCountry: Pakistan Publication Date: April 15, 2019
 Bibtex @research article { konuralpjournalmath516133, journal = {Konuralp Journal of Mathematics (KJM)}, issn = {}, eissn = {2147-625X}, address = {Mehmet Zeki SARIKAYA}, year = {2019}, volume = {7}, pages = {25 - 32}, doi = {}, title = {Faber Polynomial Coefficients Estimates of Bi-univalent Functions Associated with Generalized Salagean q-Differential Operator}, key = {cite}, author = {Yalçın, Sibel and Khan, Shahid and Hussain, Saqib} } APA Yalçın, S , Khan, S , Hussain, S . (2019). Faber Polynomial Coefficients Estimates of Bi-univalent Functions Associated with Generalized Salagean q-Differential Operator. Konuralp Journal of Mathematics (KJM), 7 (1), 25-32. Retrieved from http://dergipark.org.tr/konuralpjournalmath/issue/31492/516133 MLA Yalçın, S , Khan, S , Hussain, S . "Faber Polynomial Coefficients Estimates of Bi-univalent Functions Associated with Generalized Salagean q-Differential Operator". Konuralp Journal of Mathematics (KJM) 7 (2019): 25-32 Chicago Yalçın, S , Khan, S , Hussain, S . "Faber Polynomial Coefficients Estimates of Bi-univalent Functions Associated with Generalized Salagean q-Differential Operator". Konuralp Journal of Mathematics (KJM) 7 (2019): 25-32 RIS TY - JOUR T1 - Faber Polynomial Coefficients Estimates of Bi-univalent Functions Associated with Generalized Salagean q-Differential Operator AU - Sibel Yalçın , Shahid Khan , Saqib Hussain Y1 - 2019 PY - 2019 N1 - DO - T2 - Konuralp Journal of Mathematics (KJM) JF - Journal JO - JOR SP - 25 EP - 32 VL - 7 IS - 1 SN - -2147-625X M3 - UR - Y2 - 2019 ER - EndNote %0 Konuralp Journal of Mathematics (KJM) Faber Polynomial Coefficients Estimates of Bi-univalent Functions Associated with Generalized Salagean q-Differential Operator %A Sibel Yalçın , Shahid Khan , Saqib Hussain %T Faber Polynomial Coefficients Estimates of Bi-univalent Functions Associated with Generalized Salagean q-Differential Operator %D 2019 %J Konuralp Journal of Mathematics (KJM) %P -2147-625X %V 7 %N 1 %R %U ISNAD Yalçın, Sibel , Khan, Shahid , Hussain, Saqib . "Faber Polynomial Coefficients Estimates of Bi-univalent Functions Associated with Generalized Salagean q-Differential Operator". Konuralp Journal of Mathematics (KJM) 7 / 1 (April 2019): 25-32. AMA Yalçın S , Khan S , Hussain S . Faber Polynomial Coefficients Estimates of Bi-univalent Functions Associated with Generalized Salagean q-Differential Operator. Konuralp J. Math.. 2019; 7(1): 25-32. Vancouver Yalçın S , Khan S , Hussain S . Faber Polynomial Coefficients Estimates of Bi-univalent Functions Associated with Generalized Salagean q-Differential Operator. Konuralp Journal of Mathematics (KJM). 2019; 7(1): 32-25.