NOTE ON THE CONVERGENCE PROPERTIES OF THE Tc SERIES SOLUTION

WU HANG-SHENG; GU YI-MING

doi:10.7498/aps.30.1132

Abstract
The analysis of the present paper shows that in the case of |zph|c series solution, although does not converge outside the convergence circle determined by the singular point zph, is an asymptotic power series so long as 1/λ is less than [0.63+3μ+(1/Λ1)] 1/Λ1, where 1/Λ1=min(|z|,1);μ+(x)=(1-2μ*x)μ*.
Authors and contacts
WU HANG-SHENG,

GU YI-MING

1.
中国科学技术大学
References

Cited By

[1]	Jiao Xiao-Yu, Jia Man, An Hong-Li. Convergence for Jacobi elliptic function series solutions to one kind of perturbed Kadomtsev-Petviashvili equations. Acta Physica Sinica, 2019, 68(14): 140201. doi: 10.7498/aps.68.20190333
[2]	Fang Wei, Sun Jun, Xie Zhen-Ping, Xu Wen-Bo. Convergence analysis of quantum-behaved particle swarm optimization algorithm and study on its control parameter. Acta Physica Sinica, 2010, 59(6): 3686-3694. doi: 10.7498/aps.59.3686
[3]	Mo Jia-Qi, Wen Zhao-Hui. Solitary wave series solution for generalized (3+1)-dimensional nonlinear Burgers system. Acta Physica Sinica, 2010, 59(12): 8311-8315. doi: 10.7498/aps.59.8311
[4]	Wei Gao-Feng, Li Kai-Tai, Feng Wei, Gao Hong-Fen. Stability and convergence analysis of incompatible numerical manifold method. Acta Physica Sinica, 2008, 57(2): 639-647. doi: 10.7498/aps.57.639
[5]	Luo Xiang-Yi, Liu Xue-Shen, Ding Pei-Zhu. Dynamic properties and drifting of the solution pattern of cubic nonlinear Schr?dinger equation with varying nonlinear parameters. Acta Physica Sinica, 2007, 56(2): 604-610. doi: 10.7498/aps.56.604
[6]	Luo Lin, Wang Li, Cheng Wei-Dong, Shen Mang-Zuo. Approaches to convergence enhancement of multiframe blind deconvolution of astronomical images. Acta Physica Sinica, 2006, 55(12): 6708-6714. doi: 10.7498/aps.55.6708
[7]	Zhao Wu, Liu Bin. Series solution for relative-rotation motion equation. Acta Physica Sinica, 2005, 54(10): 4543-4548. doi: 10.7498/aps.54.4543
[8]	ZHOU CHUAN-HONG, WANG LEI, WANG ZHI-HENG. APPROACHES TO IMPROVE THE CALCULATING CONVERGENCE OF GRATING DIFFRACTION. Acta Physica Sinica, 2001, 50(6): 1046-1051. doi: 10.7498/aps.50.1046
[9]	LIU CHANG-WEN, WU HANG-SHENG. THE DIFFERENTIAL CURVE OF Tc WITH RESPECT TO λ. Acta Physica Sinica, 1982, 31(4): 510-515. doi: 10.7498/aps.31.510
[10]	WU HANG-SHENG, GU YI-MING. AN ANALYTIC DERIVATION FOR THE MCMILLAN Tc FORMULA (Ⅲ). Acta Physica Sinica, 1981, 30(12): 1693-1698. doi: 10.7498/aps.30.1693
[11]	ZHOU ZI-FANG, GU YI-MING, MAO DE-QIANG, WU HANG-SHENG. THE Tc-λ CURVE. Acta Physica Sinica, 1981, 30(2): 277-280. doi: 10.7498/aps.30.277
[12]	LEI XIAO-LIN. SENSITIVITY OF THE RADIUS OF CONVENGENCE OF THE SERIES FOR SUPERCONDUCTING Tc TO THE HIGH-FREQUENCY BEHAVIORS OF PHONON SPECTRAL FUNCTION. Acta Physica Sinica, 1981, 30(8): 1127-1131. doi: 10.7498/aps.30.1127
[13]	LEI XIAO-LIN. A NOTE ON THE RADIUS OF CONVERGENCE OF THE SERIES FOR SUPERCONDUCTING CRITICAL TEMPERATURE. Acta Physica Sinica, 1980, 29(10): 1333-1337. doi: 10.7498/aps.29.1333
[14]	ZHOU ZI-FANG, MAO DE-QIANG, GU YI-MING, WU HANG-SHENG. NOTE ON THE PROBLEM OF THE CONVERGENCE OF THE FIRST ORDER APPROXIMATE T_c SERIES SOLUTION. Acta Physica Sinica, 1980, 29(10): 1338-1341. doi: 10.7498/aps.29.1338
[15]	ZHOU ZI-FANG, WU HANG-SHENG, MAO DE-QIANG, GU YI-MING. THE PROBLEM OF THE CONVERGENCE RADIUS OF THE T_c SERIES SOLUTION. Acta Physica Sinica, 1980, 29(9): 1186-1192. doi: 10.7498/aps.29.1186
[16]	JI GUANG-DA, CAI JUN-DAO. APPLICATIONS OF THE SERIES FORMULA OF SUPERCON-DUCTING CRITICAL TEMPERATURE. Acta Physica Sinica, 1979, 28(6): 853-864. doi: 10.7498/aps.28.853
[17]	TOUR YUNG. THE CONVERGENCE OF A MANY-BODY PERTURBATION SERIES FOR AN ATTRACTIVE FERMI-SYSTEM. Acta Physica Sinica, 1966, 22(5): 580-588. doi: 10.7498/aps.22.580
[18]	CHENG LU. THE SERIES OF DIFFRACTION BY CONDUCTING CYLINDER. Acta Physica Sinica, 1965, 21(10): 1798-1809. doi: 10.7498/aps.21.1798
[19]	CHENG LU. GENERALIZATION OF THE BREMMER SERIES. Acta Physica Sinica, 1965, 21(2): 414-422. doi: 10.7498/aps.21.414
[20]	LIN WEI-GUAN. THE SUMMATION OF CERTAIN FOURIER SERIES. Acta Physica Sinica, 1955, 11(6): 429-438. doi: 10.7498/aps.11.429

Catalog

Vol. 30, Issue 8 - 1981-04-20

Metrics

Abstract views: 7586
PDF Downloads: 484
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

NOTE ON THE CONVERGENCE PROPERTIES OF THE Tc SERIES SOLUTION

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

NOTE ON THE CONVERGENCE PROPERTIES OF THE Tc SERIES SOLUTION

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About