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Abstract In this paper, we prove the following result: Let f ( z ) and α ( z ) be two non-constant entire functions satisfying σ ( α ) μ… Click to show full abstract
Abstract In this paper, we prove the following result: Let f ( z ) and α ( z ) be two non-constant entire functions satisfying σ ( α ) μ ( f ) and P ( z ) be a polynomial. If f is a non-constant entire solution of the differential equation M [ f ] + β ( z ) − α ( z ) = ( f γ M − α ( z ) ) e P ( z ) , where β ( z ) is an entire function satisfying σ ( β ) μ ( f ) . Then σ 2 ( f ) = deg P . Our result generalizes the results due to Gundersen and Yang, Chang and Zhu and Li and Cao.
Keywords:
conjecture non;
linear complex;
complex differential;
non linear;
differential equations;
study conjecture
Journal Title: Arab Journal of Mathematical Sciences
Year Published: 2017
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Journal Title: Arab Journal of Mathematical Sciences
Year Published: 2017
Link to full text (if available)
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recommendations!