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pro vyhledávání: '"Langley J"'
Autor:
Langley, J. K.
Some results are proved concerning asymptotic and deficient values in connection with the second order linear differential equation $y'' + Ay = 0$, in which the coefficient $A$ is entire.
Comment: Dedicated to the late Steve Bank, who passed awa
Comment: Dedicated to the late Steve Bank, who passed awa
Externí odkaz:
http://arxiv.org/abs/2404.06062
Autor:
Langley, J. K.
The paper proves a special case of a conjecture of Hellerstein, Shen and Williamson concerning non-real zeros of derivatives of real meromorphic functions.
Comment: This is the final version of the paper, to appear in Journal of Mathematical Phy
Comment: This is the final version of the paper, to appear in Journal of Mathematical Phy
Externí odkaz:
http://arxiv.org/abs/2204.02702
Publikováno v:
In Estuarine, Coastal and Shelf Science May 2024 300
Autor:
Langley, J. K.
A number of results are proved concerning non-real zeros of derivatives of real meromorphic functions. In particular, the paper supersedes the previous arXiv submission "Non-real zeros of linear differential polynomials in real meromorphic functions"
Externí odkaz:
http://arxiv.org/abs/2105.11762
Autor:
Langley, J. K.
Let $f$ be a transcendental entire function. It was shown in a previous paper that the holomorphic flow $\dot z = f(z)$ always has infinitely many trajectories tending to infinity in finite time. It will be proved here that such trajectories are in a
Externí odkaz:
http://arxiv.org/abs/2105.05452
Autor:
Langley, J. K.
Every real Bank-Laine function of finite order, whose zeros are all real but neither bounded above nor bounded below, either has an explicit representation in terms of trigonometric functions or has zeros with exponent of convergence at least 3. An e
Externí odkaz:
http://arxiv.org/abs/2007.09613
Akademický článek
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Autor:
Langley, J. K.
It is shown that if $f$ or $1/f$ is a real entire function of infinite order of growth, with only real zeros, then $f''+\omega f$ has infinitely many non-real zeros for any $\omega > 0$.
Comment: The paper has been superseded by arXiv:2105.11762
Comment: The paper has been superseded by arXiv:2105.11762
Externí odkaz:
http://arxiv.org/abs/1905.12288