On a Power Series which has only Algebraic Singularities on its Convergence Circle, IV-Reference-Cited by-同舟云学术

On a Power Series which has only Algebraic Singularities on its Convergence Circle, IV

Published:1928 Issue:0 Volume:5 Page:163-184
ISSN:0075-3432
Container-title:Japanese journal of mathematics :transactions and abstracts
language:en
Short-container-title:Japanese journal of mathematics :transactions and abstracts

Author:

TSUJI Masatsugu¹

Affiliation:

1. Mathematical Institute, Imperial University

Publisher

Mathematical Society of Japan (JST)

Subject

General Mathematics

Link

https://www.jstage.jst.go.jp/article/jjm1924/5/0/5_0_163/_pdf

Reference18 articles.

1. (1) Tsuji, this Journal 4 (1927), 129-139.

2. (2) Tsuji, this Journal 4 (1927) p. 130.

3. (3) Tsuji, this Journal 4 (1927) p. 132. Only instead of (12) in the paper cited we have to put, (12)′ |1/2πi∫_L₁′+L₁G(z)/zⁿ⁺¹(x-z)dz|=|1/2πi∫_L₁′+L₁F₁(z)/zⁿ⁺¹(x-z)|≤K∫_1+1/n^1+1/√n|1-ω₁z|^{m₁+q+1/p₁}/|z|ⁿ⁺¹|x-z||dz|+K∫_1+1/√n^T|1-ω₁z|^{-|m₁+q+1/p₁|}/|z|ⁿ⁺¹|x-z||dz|≤K_n^{-1/2(m₁+q+1/p₁+1)}+Kn^{1/2|m₁+q+1/p₁|}/(1+1/√n)ⁿ≤K_n^{-1/2(m₁+q+1/p₁)}.

4. (4) Tsuji, this Journal 4 (1927) p. 129.

5. (5) Matsumoto. On the Cónvergency of the analytic elements of meromorphic functions on the circle of convergence. Memoirs of the college of science Kyoto Imperial university series A Vol. X. No. 8 (1927).

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the sharpness of Jentzsch-Szeg�-Type Theorems;Archiv der Mathematik;1994-07

2. Works of Professor Masatsugu Tsuji;Japanese journal of mathematics :transactions and abstracts;1959