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Prime Entire Functions with Prescribed Nevanlinna Deficiency
Published online by Cambridge University Press: 22 January 2016
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According to [4] a meromorphic function h(z) = f(g)(z) is said to have f(z) and g(z) as left and right factors respectively, provided that f(z) is non-linear and meromorphic and g(z) is non-linear and entire (g may be meromorphic when f(z) is rational). h(z) is said to be E-prime (E-pseudo prime) if every factorization of the above form into entire factors implies that one of the functions f, or g is linear (polynomial). h(z) is said to be prime (pseudo-prime) if every factorization of the above form, where the factors may be meromorphic, implies that one of f or g is linear (a polynomial or f is rational).
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1972
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