Entire solutions for several general quadratic trinomial differential difference equations
This paper is devoted to exploring the existence and the forms of entire solutions of several quadratic trinomial differential difference equations with more general forms. Some results about the forms of entire solutions for these equations are some extensions and generalizations of the previous th...
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oai:doaj.org-article:2a14bee1bcb74fd5938f6775cce4fa1b2021-12-05T14:10:53ZEntire solutions for several general quadratic trinomial differential difference equations2391-545510.1515/math-2021-0080https://doaj.org/article/2a14bee1bcb74fd5938f6775cce4fa1b2021-09-01T00:00:00Zhttps://doi.org/10.1515/math-2021-0080https://doaj.org/toc/2391-5455This paper is devoted to exploring the existence and the forms of entire solutions of several quadratic trinomial differential difference equations with more general forms. Some results about the forms of entire solutions for these equations are some extensions and generalizations of the previous theorems given by Liu, Yang and Cao. We also give a series of examples to explain the existence of the finite order transcendental entire solutions of such equations.Luo JunXu Hong YanHu FenDe Gruyterarticlenevanlinna theoryentire solutiondifferential difference equation39a1030d3530d2030d05MathematicsQA1-939ENOpen Mathematics, Vol 19, Iss 1, Pp 1018-1028 (2021) |
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nevanlinna theory entire solution differential difference equation 39a10 30d35 30d20 30d05 Mathematics QA1-939 |
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nevanlinna theory entire solution differential difference equation 39a10 30d35 30d20 30d05 Mathematics QA1-939 Luo Jun Xu Hong Yan Hu Fen Entire solutions for several general quadratic trinomial differential difference equations |
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This paper is devoted to exploring the existence and the forms of entire solutions of several quadratic trinomial differential difference equations with more general forms. Some results about the forms of entire solutions for these equations are some extensions and generalizations of the previous theorems given by Liu, Yang and Cao. We also give a series of examples to explain the existence of the finite order transcendental entire solutions of such equations. |
format |
article |
author |
Luo Jun Xu Hong Yan Hu Fen |
author_facet |
Luo Jun Xu Hong Yan Hu Fen |
author_sort |
Luo Jun |
title |
Entire solutions for several general quadratic trinomial differential difference equations |
title_short |
Entire solutions for several general quadratic trinomial differential difference equations |
title_full |
Entire solutions for several general quadratic trinomial differential difference equations |
title_fullStr |
Entire solutions for several general quadratic trinomial differential difference equations |
title_full_unstemmed |
Entire solutions for several general quadratic trinomial differential difference equations |
title_sort |
entire solutions for several general quadratic trinomial differential difference equations |
publisher |
De Gruyter |
publishDate |
2021 |
url |
https://doaj.org/article/2a14bee1bcb74fd5938f6775cce4fa1b |
work_keys_str_mv |
AT luojun entiresolutionsforseveralgeneralquadratictrinomialdifferentialdifferenceequations AT xuhongyan entiresolutionsforseveralgeneralquadratictrinomialdifferentialdifferenceequations AT hufen entiresolutionsforseveralgeneralquadratictrinomialdifferentialdifferenceequations |
_version_ |
1718371592210219008 |