Relations between the small functions and the solutions of certain second-order differential equations
| dc.contributor.author | Liu, Huifang | |
| dc.contributor.author | Mao, Zhiqiang | |
| dc.date.accessioned | 2021-08-13T20:19:08Z | |
| dc.date.available | 2021-08-13T20:19:08Z | |
| dc.date.issued | 2007-08-07 | |
| dc.description.abstract | In this paper, we investigate the relations between the small functions and the solutions, first, second derivatives, and differential polynomial of the solutions to the differential equation ƒ″ + A1ₑP(z) ƒ′ + A(0ₑQ(z) ƒ = 0, where P(z) = αₙzⁿ + ⋅⋅⋅ + α0, Q(z) = bₙzⁿ + ⋅⋅⋅ + b0 are polynomials with degree n (n ≥ 1), αi, bi (i = 0, 1,..., n), αnbn ≠ 0 are complex constants, Aj(z) ≢ 0 (j = 0, 1) are entire functions with σ(Aj) < n. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 11 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Liu, H., & Mao, Z. (2007). Relations between the small functions and the solutions of certain second-order differential equations. <i>Electronic Journal of Differential Equations, 2007</i>(108), pp. 1-11. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14324 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Entire function | |
| dc.subject | Exponent of convergence of the zero-sequence | |
| dc.title | Relations between the small functions and the solutions of certain second-order differential equations | |
| dc.type | Article |