On the application of Borel's method to the summation of Fourier's series

被引：5

作者：

Moore, CN ^{[1
]}

机构：

[1] Univ Cincinnati, Dept Math, Cincinnati, OH USA

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 1925年 / 11卷

关键词：

D O I：

10.1073/pnas.11.6.284

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

引用

页码：284 / 287

页数：4

共 50 条

[21] THE LEBESGUE CONSTANTS FOR BOREL SUMMATION OF LAPLACE SERIES
LORCH, L
MONATSHEFTE FUR MATHEMATIK, 1981, 91 (04): : 291 - 298
[22] Some generalisation of the Borel summation of the divergent series
Obreschkoff, N
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1932, 166 (1/4): : 208 - 219
[23] An application of Fourier's series to probability.
Barrow, DF
ANNALS OF MATHEMATICS, 1917, 19 : 96 - 105
[24] A borel transform method for locating singularities of Taylor and Fourier series
Pauls, W.
Frisch, U.
JOURNAL OF STATISTICAL PHYSICS, 2007, 127 (06) : 1095 - 1119
[25] A Borel Transform Method for Locating Singularities of Taylor and Fourier Series
W. Pauls
U. Frisch
Journal of Statistical Physics, 2007, 127 : 1095 - 1119
[26] Summation of derived Fourier Series - An application to Fourier expansions on compact Lie groups
Bochner, S
ANNALS OF MATHEMATICS, 1936, 37 : 345 - 356
[27] On the summation of Schlomilch's series
Trickovic, Slobodan B.
Stankovic, Miomir S.
Vidanovic, Mirjana V.
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2020, 31 (05) : 339 - 367
[28] APPLICATION OF THE BOREL METHOD OF SUMMATION TO A QUANTUM-MECHANICAL MODEL PROBLEM
LEINAAS, JM
OSNES, E
PHYSICA SCRIPTA, 1980, 22 (03) : 193 - 196
[29] Abel's method on summation by parts and theta hypergeometric series
Chu, Wenchang
Jia, Cangzhi
JOURNAL OF COMBINATORIAL THEORY SERIES A, 2008, 115 (05) : 815 - 844
[30] Borel's formulae for devergent series
Kluyver, JC
PROCEEDINGS OF THE KONINKLIJKE AKADEMIE VAN WETENSCHAPPEN TE AMSTERDAM, 1900, 2 : 302 - 307

← 1 2 3 4 5 →