交通大學學報;;The Journal of National Chiao Tung University

Permanent URI for this collectionhdl:11536/137392

Browse

Now showing 1 - 2 of 2

帕德表中｛Rn-3,n(z)｝序列之討論
(交大學刊編輯委員會, 1976-04)
倪維城
;
倪陳安娜
;
W.C.Ni
;
A.Chen
The basic aim of this paper is to show that a specific sequence {Rn-3,n(z)}n=3 ∞ in the Padé table is bounded along the imaginary axis. Such a result can be applied to verify that {Rn-3,n(z)}n=3 ∞ converges uniformly to e^-z on the sector Sδ≡{z=reiθ:|θ|≦π/2-δ}
解析函數中某一特殊族之零點分佈情形
(交大學刊編輯委員會, 1976-04)
倪維城
;
倪陳安娜
;
W.C.Ni
;
A.Chen
This paper deals with a specific class S' of entire functions and finds sufficient conditions on the Maclaurin coefficients of an entire function f(z)ε S',so that there exists a parabolic region H, free of zeros of f(z) and all its partial aums, in the right-half plane symmetric about the nonegative real axis. Moreover, we study the asymtotic bahavior of the width function Gf of f(z)ε S' and solve a conjecture an Gf partially.