A relation between the kth derivate of the Dirac delta in (P ± i0) and the residue of distributions (P ± i0)λ

被引：3

作者：

Téllez, MAA ^{[1
]}

Barrenechea, AL ^{[1
]}

机构：

[1] Univ Buenos Aires, Fac Ciencias Exactas, Dept Matemat, RA-7000 Tandil, Argentina

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1999年 / 108卷 / 1-2期

关键词：

theory of distributions;

D O I：

10.1016/S0377-0427(99)00098-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to give sense to the residue of the distribution (Pf i0)(lambda), when lambda = -n/2 - k, k = 0, 1,2,..., under certain conditions of n, p and q. This will be posible using a relation between the distribution delta((k))(P +/- i0) and the residue of(P+/- i0)(lambda). (C) 1999 Elsevier Science B.V. All rights reserved. MSC: 46.

引用

页码：31 / 40

页数：10

共 50 条

[1] The causal and anticausal distributions Gα(P ± i0, m, n)
Olivera, Christian
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2008, 19 (11) : 777 - 783
[2] I0 and combinatorics at λ+
Shi, Xianghui
Trang, Nam
ARCHIVE FOR MATHEMATICAL LOGIC, 2017, 56 (1-2) : 131 - 154
[3] Generic I0 at ℵω
Dimonte, Vincenzo
MATHEMATICAL LOGIC QUARTERLY, 2018, 64 (1-2) : 118 - 132
[4] 'I0, robot'
Ruggeri, F
CINEFORUM, 2004, 44 (10): : 75 - 76
[5] Multiplication of the distributions (x +/- i0)(z)
Franssens, Ghislain R.
JOURNAL OF APPLIED ANALYSIS, 2014, 20 (01) : 15 - 27
[6] On Marcel Riesz kernel Hα(P±i0,n)
Olivera, Christian
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2007, 18 (06) : 427 - 434
[7] On the laplace transform of (m2+P±i0)λ
Trione, SE
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2000, 10 (02) : 125 - 130
[8] IACUC recommends, I0 approves
Bell, M. Elizabeth
LAB ANIMAL, 2011, 40 (09) : 269 - 270
[9] THE RESIDUE FROM THE GENERALIZED FUNCTION (M +/- i0)(lambda)
Aguirre, Manuel A.
Aguirre Rebora, Emilio
NEXO REVISTA CIENTIFICA, 2015, 28 (01): : 15 - +
[10] The expression of the Laplace transform of (P±i0)λ as a K-transform
Trione, SE
STUDIES IN APPLIED MATHEMATICS, 1999, 103 (03) : 259 - 265

← 1 2 3 4 5 →