대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제50권5호
  • /
  • Pages.1531-1538
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  • 2013
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  • 1015-8634(pISSN)
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  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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COEFFICIENT BOUNDS FOR CERTAIN SUBCLASSES OF MEROMORPHIC AND BI-UNIVALENT FUNCTIONS

  • 투고 : 2012.05.28
  • 발행 : 2013.09.30
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초록

In the present investigation, the author introduces two interesting subclasses of normalized meromorphic univalent functions $w=f(z)$ defined on $\tilde{\Delta}:=\{z{\in}\mathbb{C}:1<{\mid}z{\mid}<{\infty}\}$ whose inverse $f^{-1}(w)$ is also univalent meromorphic in $\tilde{\Delta}$. Estimates for the initial coefficients are obtained for the functions in these new subclasses.

키워드

참고문헌

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  2. B. A. Frasin and M. K. Aouf, New subclasses of bi-univalent functions, Appl. Math. Lett. 24 (2011), no. 9, 1569-1973. https://doi.org/10.1016/j.aml.2011.03.048
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  5. M. Schiffer, Sur un probleme d extremum de la repres entation conforme, Bull. Soc. Math. France 66 (1938), 48-55.
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  7. G. Springer, The coefficient problem for schlicht mappings of the exterior of the unit circle, Trans. Amer. Math. Soc. 70 (1951), 421-450. https://doi.org/10.1090/S0002-9947-1951-0041935-5
  8. H. M. Srivastava, A. K. Mishra, and P. Gochhayat, Certain subclasses of analytic and bi-univalent functions, Appl. Math. Lett. 23 (2010), no. 10, 1188-1192. https://doi.org/10.1016/j.aml.2010.05.009
  9. Q.-H. Xu, Y.-C. Gui, and H. M. Srivastava, Coefficient estimates for a certain subclass of analytic and bi-univalent functions, Appl. Math. Lett. 25 (2012), no. 6, 990-994. https://doi.org/10.1016/j.aml.2011.11.013

피인용 문헌

  1. Certain Subclasses of Meromorphically Bi-Univalent Functions vol.40, pp.2, 2017, https://doi.org/10.1007/s40840-016-0335-1
  2. Coefficient Estimates for New Subclasses of Meromorphic Bi-Univalent Functions vol.2014, 2014, https://doi.org/10.1155/2014/376076