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Tc级数解的收敛性质
引用本文:吴杭生,顾一鸣. Tc级数解的收敛性质[J]. 物理学报, 1981, 30(8): 1132-1136
作者姓名:吴杭生  顾一鸣
作者单位:中国科学技术大学
摘    要:本文证明了,当|zph|c级数解的收敛圆是由奇点决定的,但是只要1/λ<[0.63+3μ+(1/Λ1)] 1/(Λ1),Tc级数解在收敛圆外仍然是个很好的渐近展开式,其中1/Λ1=min(|z|,1);μ+(x)=(1-2μ*x)μ*关键词

收稿时间:1980-12-15

NOTE ON THE CONVERGENCE PROPERTIES OF THE Tc SERIES SOLUTION
WU HANG-SHENG and GU YI-MING. NOTE ON THE CONVERGENCE PROPERTIES OF THE Tc SERIES SOLUTION[J]. Acta Physica Sinica, 1981, 30(8): 1132-1136
Authors:WU HANG-SHENG and GU YI-MING
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*.
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