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The First-Order Theory of the Ring of All Entire Functions

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Entire and Meromorphic Functions

Part of the book series: Universitext ((UTX))

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Abstract

The material of this chapter is drawn from the paper [3], “First-Order Conformal Invariants.” Let εdenote the ring of all entire functions as an abstract ring. Much information about the theory of entire functions is present in the theory of ε. For example, an entire function f omits the value 7 iff there exists an entire function g such that (f - 7)g= 1.

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© 1996 Springer Science+Business Media New York

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Rubel, L.A., Colliander, J.E. (1996). The First-Order Theory of the Ring of All Entire Functions. In: Entire and Meromorphic Functions. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0735-1_23

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  • DOI: https://doi.org/10.1007/978-1-4612-0735-1_23

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-94510-1

  • Online ISBN: 978-1-4612-0735-1

  • eBook Packages: Springer Book Archive

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