논문KCI 등재
Coefficient estimates for certain subclass of meromorphic and bi-univalent functions
대한수학회 (The Korean Mathematical Society)|2017.04|대한수학회논문집 (Communications of the KMS)|제32권 제2호|pp. 389-397
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In this paper, we introduce and investigate an interesting subclass of meromorphic bi-univalent functions defined on $\Delta = \{z\in \mathbb C : 1<|z| <\infty \}$. For functions belonging to this class, estimates on the initial coefficients are obtained. The results presented in this paper would generalize and improve some recent works of several earlier authors.
Abstract
In this paper, we introduce and investigate an interesting subclass of meromorphic bi-univalent functions defined on $\Delta = \{z\in \mathbb C : 1<|z| <\infty \}$. For functions belonging to this class, estimates on the initial coefficients are obtained. The results presented in this paper would generalize and improve some recent works of several earlier authors.
참고문헌 (10)
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- S. G. Hamidi, "Coefficient estimates for a class of meromorphic biunivalent functions", C. R. Math. Acad. Sci. Paris, 351(9-10), pp.349~352 (2013)
- S. G. Hamidi, "Faber polynomial coefficient estimates for meromorphic bi-starlike functions", Int. J. Math. Math. Sci, 2013, pp.4~ (2013)
- S. G. Hamidi, "Coefficient estimates for certain classes of meromorphic bi-univalent functions", C. R. Math. Acad. Sci. Paris, 352(4), pp.277~282 (2014)
- T. Janani, "Coefficient estimates of meromorphic bi-starlike functions of complex order", Inter. J. Anal. Appl, 4(1), pp.68~77 (2014)
- Y. Kubota, "Coefficients of meromorphic univalent functions", K¯odai Math. Sem. Rep, 28(2-3), pp.253~261 (1977)
- Trailokya Panigrahi, "Coefficient bounds for certain subclasses of meromorphic and bi-univalent functions", 대한수학회보, 50(5), pp.1531~1538 (2013), 대한수학회
- M. Schiffer, "Sur un probl`eme d’extr´emum de la repr´esentation conforme", Bull. Soc. Math. France, 66, pp.48~55 (1938)
- G. Schober, "Coefficients of inverses of meromorphic univalent functions", Proc. Amer. Math. Soc, 67(1), pp.111~116 (1977)
- G. Springer, "The coefficient problem for schlicht mappings of the exterior of the unit circle", Trans. Amer. Math. Soc, 70, pp.421~450 (1951)
관련 논문AI추천
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