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Maximum Modulus Points, Deviations and Spreads of Meromorphic Functions

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Part of the book series: Advances in Complex Analysis and Its Applications ((ACAA,volume 3))

Abstract

We consider the influence of the number of maximum modulus points over the spread and the magnitude of deviation of meromorphic functions.

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References

  1. Baernstein A., Integral means, univalent functions and circular symmetrization, Acta Math. 133 (1974), 139–169.

    MathSciNet  Google Scholar 

  2. Edrei A., Sums of deficiencies of meromorphic functions, J. Analyse Math. 14 (1965), 79–104.

    MATH  MathSciNet  Google Scholar 

  3. Essen M. and Shea D.F., Applications of Denjoy integral inequalities and differential inequalities to growth problems for subharmonic and meromorphic functions, Proc. Roy. Irish Acad. Sect. A 82 (1982), 201–216.

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  4. Gariepy R. and Lewis J.L., Space analogues of some theorems for subharmonic and meromorphic functions, Ark. Mat. 13 (1975), 91–105.

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  5. Gol’dberg I.V. and Ostrowskii I.V., Distribution of values of meromorphic functions, Izdat. “Nauka”, Moscow 1970. (Russian)

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  6. Hayman W.K., Multivalent Functions, Cambridge University Press, Cambridge 1958.

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  7. Marchenko I. I., On the magnitudes of deviations and spreads of meromorphic functions of finite lower order, Mat. Sb. 186 (1995), 391–408.

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  8. Petrenko V.P., Growth of meromorphic functions of finite lower order, Izv. Akad. Nauk SSSR Ser. Mat. 33 (1969), 414–454. (Russian)

    MATH  MathSciNet  Google Scholar 

  9. Ronkin L.I., Introduction into the theory of entire functions of many variables, Izdat. “Nauka”, Moscow 1971. (Russian)

    Google Scholar 

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© 2004 Kluwer Academic Publishers

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Ciechanowicz, E., Marchenko, I.I. (2004). Maximum Modulus Points, Deviations and Spreads of Meromorphic Functions. In: Barsegian, G., Laine, I., Yang, C.C. (eds) Value Distribution Theory and Related Topics. Advances in Complex Analysis and Its Applications, vol 3. Springer, Boston, MA. https://doi.org/10.1007/1-4020-7951-6_5

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  • DOI: https://doi.org/10.1007/1-4020-7951-6_5

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4020-7950-4

  • Online ISBN: 978-1-4020-7951-1

  • eBook Packages: Springer Book Archive

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