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In this work, we use the Faber polynomial expansions to find upper bounds for the coefficients of analytic bi-univalent functions in subclass $ \Sigma(\tau,\gamma,\varphi)$ which is defined by subordination conditions in the open unit disk $\mathbb{U}$. In certain cases, our estimates improve some of those existing coefficient bounds.
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참고문헌 (17)
참고문헌 신청
H. Airault / 2007 / Symmetric sums associated to the factorization of Grunsky coeffcients, in Groups and symmetries / CRM Proc. Lecture Notes Amer. Math. Soc. Providence, RI 47:3~16
H. Airault / 2006 / Differential calculus on the Faber polynomials / Bull. Sci. Math. 130(3):179~222
H. Airault / 2002 / An algebra of differential operators and generating functions on the set of univalent functions / Bull. Sci. Math. 126(5):343~367
R. M. Ali / 2012 / Coeffcient estimates for bi-univalent Ma-Minda starlike and convex functions / Appl. Math. Lett. 25(3):344~351
E. Deniz / 2013 / Certain subclasses of bi-univalent functions satisfying subordinate conditions / J. Class. Anal. 2(1):49~60
H. Airault / 2006 / Differential calculus on the Faber polynomials / Bull. Sci. Math. 130(3):179~222
H. Airault / 2002 / An algebra of differential operators and generating functions on the set of univalent functions / Bull. Sci. Math. 126(5):343~367
R. M. Ali / 2012 / Coeffcient estimates for bi-univalent Ma-Minda starlike and convex functions / Appl. Math. Lett. 25(3):344~351
E. Deniz / 2013 / Certain subclasses of bi-univalent functions satisfying subordinate conditions / J. Class. Anal. 2(1):49~60
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