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A meromorphic solution of a complex linear differential equation (with meromorphic coefficients) for which the value zero is the only possible finite deficient/deviated value is called a standard solution. Conditions for the existence and the number
Externí odkaz:
http://arxiv.org/abs/2311.05254
A theorem of A. and C. R\'enyi on periodic entire functions states that an entire function $f(z) $ must be periodic if $ P(f(z)) $ is periodic, where $ P(z) $ is a non-constant polynomial. By extending this theorem, we can answer some open questions
Externí odkaz:
http://arxiv.org/abs/2103.12182
Asymptotic integration theory gives a collection of results which provide a thorough description of the asymptotic growth and zero distribution of solutions of (*) $f''+P(z)f=~0$, where $P(z)$ is a polynomial. These results have been used by several
Externí odkaz:
http://arxiv.org/abs/2008.10262
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 March 2022 507(1)
Akademický článek
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Publikováno v:
Expositiones Mathematicae; Mar2022, Vol. 40 Issue 1, p94-126, 33p