TY  - JOUR
T1  - Faber Polynomial Expansion for a New Subclass of Bi-univalent Functions Endowed with $(p,q)$ Calculus Operators
AU  - Çetinkaya, Asena
AU  - Ahuja, Om P.
PY  - 2021
DA  - March
Y2  - 2021
DO  - 10.33401/fujma.831447
JF  - Fundamental Journal of Mathematics and Applications
JO  - Fundam. J. Math. Appl.
PB  - Fuat USTA
WT  - DergiPark
SN  - 2645-8845
SP  - 17
EP  - 24
VL  - 4
IS  - 1
LA  - en
AB  - In this paper, we use the Faber polynomial expansion techniques to get the general Taylor-Maclaurin coefficient estimates for $|a_n|,\ (n\geq 4)$ of a generalized class of bi-univalent functions by means of $(p,q)-$calculus,  which was introduced by  Chakrabarti and Jagannathan. For functions in such a class, we  get the initial coefficient estimates for $|a_2|$ and $|a_3|.$ In particular, the results in this paper generalize or improve (in certain cases) the corresponding results obtained by recent researchers.
KW  - Faber polynomial expansion
KW  - Bi-univalent functions
KW  - (p
KW  - q)-calculus
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UR  - https://doi.org/10.33401/fujma.831447
L1  - https://dergipark.org.tr/en/download/article-file/1415593
ER  -