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Sets on which an entire function is determined by its range

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References

  1. Dienes, P.: The Taylor Series. New York: Dover, 1957

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  2. Markushevich, A.I.: Theory of Functions of a Complex Variable. Englewood Cliffs, N.J.: Prentice-Hall, 1967

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  3. Nienhuys, J.W., Thiemann, J.G.F.: On the existence of entire functions mapping countable dense sets onto each other. Proc. Dutch Acad. Sci. Ser A,79, 331–334 (1976)

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Authors and Affiliations

  1. Dept. of Mathematics, University of Illinois, 61801, Urbana, Il, USA

    Harold G. Diamond & Lee Rubel

  2. University of Georgia, 30602, Athens, GA, USA

    Carl Pomerance

Authors
  1. Harold G. Diamond
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  2. Carl Pomerance
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  3. Lee Rubel
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Additional information

Dedicated to Emil Grosswald on the occasion of his retirement

Research supported in part by grants from the National Science Foundation

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Diamond, H.G., Pomerance, C. & Rubel, L. Sets on which an entire function is determined by its range. Math Z 176, 383–398 (1981). https://doi.org/10.1007/BF01214615

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  • DOI: https://doi.org/10.1007/BF01214615

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