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DIFFERENTIAL EQUATIONS RELATED TO FAMILY A
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 Title & Authors
DIFFERENTIAL EQUATIONS RELATED TO FAMILY A
Li, Ping; Meng, Yong;
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 Abstract
Let h be a meromorphic function with few poles and zeros. By Nevanlinna`s value distribution theory we prove some new properties on the polynomials in h with the coefficients being small functions of h. We prove that if f is a meromorphic function and if is identically a polynomial in h with the constant term not vanish identically, then f is a polynomial in h. As an application, we are able to find the entire solutions of the differential equation of the type $$f^n+P(f)
 Keywords
Nevanlinna theory;meromorphic function;differential equation;
 Language
English
 Cited by
 References
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