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An extremal problem in function theory

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Part of the Lecture Notes in Mathematics book series (LNM,volume 599)

Keywords

  • Meromorphic Function
  • Extremal Problem
  • Subharmonic Function
  • Tauberian Theorem
  • Natural Science Research

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References

  1. A. Baernstein, A generalization of the cos πρ theorem, Trans. Amer. Math. Soc. 193 (1974), 181–197.

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  2. A. Baernstein and B. A. Taylor, Spherical rearrangements, subharmonic functions, and *-functions in n-space, Duke Math. J. 43 (1976), 245–268.

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  4. A. Edrei, Locally tauberian theorems for meromorphic functions of lower order less than one, Trans. Amer. Math. Soc. 140 (1969), 309–332.

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  5. A. Edrei, Extremal problems of the cos πρ-type, J. Analyse Math. 29 (1976), 19–66.

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  6. M. Essén and D. F. Shea, Applications of Denjoy integral inequalities to growth problems for subharmonic and meromorphic functions, Proc. Symposium Complex Analysis, Canterbury, 1973.

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  7. W. H. J. Fuchs, Topics in Nevanlinna Theory, Proc. NRL Conference on Classical Function Theory, Washington, D.C., 1970.

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  8. W. H. J. Fuchs, A theorem on min log |f(z)|/T(r,f), Proc. Symp. Complex Analysis, Canterbury, 1973.

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  9. V. P. Petrenko, The growth of meromorphic functions of finite lower order, Izv. Ak. Nauk U.S.S.R. 33 (1969), 414–454.

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  10. A. Weitsman, Asymptotic behavior of meromorphic functions with extremal deficiencies, Trans. Amer. Math. Soc. 140 (1969), 333–352.

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© 1977 Springer-Verlag

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Essén, M., Shea, D.F. (1977). An extremal problem in function theory. In: Buckholtz, J.D., Suffridge, T.J. (eds) Complex Analysis. Lecture Notes in Mathematics, vol 599. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096823

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  • DOI: https://doi.org/10.1007/BFb0096823

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08343-6

  • Online ISBN: 978-3-540-37303-2

  • eBook Packages: Springer Book Archive