Article contents
On meromorphic solutions of functional-differential equations
Published online by Cambridge University Press: 10 February 2022
Abstract
We consider meromorphic solutions of functional-differential equations
are two positive integers. Firstly, using an elementary method, we describe the forms of $f$
and $g$
when $f$
is rational and $a(\neq 0)$
, $b$
, $c$
are constants. In addition, by employing Nevanlinna theory, we show that $g$
must be linear when $f$
is transcendental and $a(\neq 0)$
, $b$
, $c$
are polynomials in $\mathbb {C}$
.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 65 , Issue 1 , February 2022 , pp. 263 - 278
- Copyright
- Copyright © The Author(s), 2022. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society
References
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