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Normality concerning two families of meromorphic functions

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In this paper, we study normality concerning two families of meromorphic functions. In particular, we investigate the sharing conditions under which normality of one family implies the normality of other. Results obtained in this paper extend some earlier works of several authors.

Abstract

In this paper, we study normality concerning two families of meromorphic functions. In particular, we investigate the sharing conditions under which normality of one family implies the normality of other. Results obtained in this paper extend some earlier works of several authors.

참고문헌 (12)

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  3. X. J. Liu, "A normal criterion about two families of meromorphic functions concerning shared values", Acta Math. Sin. (Engl. Ser. ), 29(1), pp.151~158 (2013)[DOI]
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  6. J. L. Schiff, "Normal Families, Universitext" (1993), Springer-Verlag
  7. W. Schwick, "Sharing values and normality", Arch. Math. (Basel), 59(1), pp.50~54 (1992)[DOI]
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  9. Y. Ye, "A normal criterion about two families of meromorphic functions concerning shared values", Houston J. Math, 39(3), pp.919~928 (2013)
  10. W. Yuan, "Some normality criteria for families of meromorphic functions", J. Inequal. Appl, 2013, pp.459~464 (2013)[DOI]
  11. L. Zalcman, "A heuristic principle in complex function theory", Amer. Math. Monthly, 82(8), pp.813~817 (1975)[DOI]
  12. C. Zeng, "New trends in analysis and interdisciplinary applications, Trends Math. Res. Perspect", pp.2017, Birkh¨auser

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