Zobrazeno 1 - 10
of 87
pro vyhledávání: '"James K. Langley"'
Autor:
James K. Langley
Publikováno v:
Annales Fennici Mathematici
Let \(f\) be a transcendental entire function. It was shown in a previous paper (2017) 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 trajectori
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4193cce87b7ba17cc075f09ee91dcf8f
https://afm.journal.fi/article/view/120214
https://afm.journal.fi/article/view/120214
Publikováno v:
Computational Methods and Function Theory. 21:535-542
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::de351302e58b71a8cce3fe538eae95f4
https://doi.org/10.1007/s40315-021-00422-4
https://doi.org/10.1007/s40315-021-00422-4
Autor:
James K. Langley
Publikováno v:
Computational Methods and Function Theory. 20:653-665
Suppose that E is a real entire function of finite order with zeros which are all real but neither bounded above nor bounded below, such that $$E'(z) = \pm 1$$ E ′ ( z ) = ± 1 whenever $$E(z) = 0$$ E ( z ) = 0 . Then either E has an explicit repre
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7adc711a46a78967e06f9e4be9a5a7ce
https://doi.org/10.1007/s40315-020-00342-9
https://doi.org/10.1007/s40315-020-00342-9
Autor:
James K. Langley
Publikováno v:
Journal d'Analyse Mathématique. 141:225-246
The Bank–Laine conjecture concerning the oscillation of solutions of second order homogeneous linear differential equations has recently been disproved by Bergweiler and Eremenko. It is shown here, however, that the conjecture is true if the set of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::422798adc954f1155f3ae537694864d5
https://doi.org/10.1007/s11854-020-0115-6
https://doi.org/10.1007/s11854-020-0115-6
Autor:
James K. Langley
Publikováno v:
Computational Methods and Function Theory. 19:117-133
It is shown that two key results on transcendental singularities for meromorphic functions of finite lower order have refinements which hold under the weaker hypothesis that the logarithmic derivative has finite lower order.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9eb67c5fa5a908b694eb9a5c1d0ebfde
https://doi.org/10.1007/s40315-018-0253-3
https://doi.org/10.1007/s40315-018-0253-3
Autor:
James K. Langley
Publikováno v:
Annales Academiae Scientiarum Fennicae Mathematica. 43:693-735
The paper determines all meromorphic functions f in C such that f and F have finitely many zeros, where F = f (k) + ak−1f(k−1)+ ... + a0f with k ≥ 3 and the aj rational functions. MSC 2010:30D35.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5d1bba19b665d7535dd1d2ed9d134ff0
https://doi.org/10.5186/aasfm.2018.4348
https://doi.org/10.5186/aasfm.2018.4348
Autor:
James K. Langley
Publikováno v:
Proceedings of the American Mathematical Society. 145:2107-2117
Given a function which is transcendental and meromorphic in the plane, such that either the function has finitely many poles or its inverse function has a logarithmic singularity over infinity, the corresponding meromorphic flow has infinitely many t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff914c837441cee80ca5c4f8cdbe144e
https://doi.org/10.1090/proc/13377
https://doi.org/10.1090/proc/13377
Autor:
James K. Langley
Publikováno v:
Annales Academiae Scientiarum Fennicae Mathematica. 38:855-871
Two theorems are proved concerning non-real zeros of derivatives of the reciprocal of a real entire function with real zeros. A further result treats the frequency of non-real poles for real meromorphic functions which together with their first three
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::210abc826fd65ef088fbcc506ee92101
https://doi.org/10.5186/aasfm.2013.3847
https://doi.org/10.5186/aasfm.2013.3847
Autor:
James K. Langley
Consider a transcendental meromorphic function in the plane with finitely many critical values, such that the multiple points have bounded multiplicities and the inverse function has finitely many transcendental singularities. Using the Wiman-Valiron
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0fe338cf931ed174fdc19bfe091010ae
http://eprints.nottingham.ac.uk/38915/
http://eprints.nottingham.ac.uk/38915/
Autor:
Abdullah Alotaibi, James K. Langley
Publikováno v:
Results in Mathematics. 63:1365-1373
Suppose that a homogeneous linear differential equation has entire coefficients of finite order and a fundamental set of solutions each having zeros with finite exponent of convergence. Upper bounds are given for the number of zeros of these solution
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4be3a6ff554989d04c010b2ed0501656
https://doi.org/10.1007/s00025-012-0273-7
https://doi.org/10.1007/s00025-012-0273-7