The non-commutative neutrix product of the distributions F(x+,-r)1nx+ and δ(s)(x)

被引：0

作者：

Özçag, E ^{[1
]}

机构：

[1] Hacettepe Univ, Dept Math, TR-06532 Ankara, Turkey

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 1999年 / 30卷 / 02期

关键词：

distribution; delta function; neutrix; neutrix limit; neutrix product;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Gelfand and Shilov(7) define the distribution F(x(+), - r) ln x(+) corresponding to the function x(+)(-r) ln x(+) by [GRAPHICS] In this paper, using the concepts of the neutrix and the neutrix limit due to Corput(3), we evaluate the non-commutative neutrix product of distributions F(x(+), - r) ln x(+) and delta((s)) (x).

引用

页码：175 / 181

页数：7

共 50 条

[1] On the Non-Commutative Neutrix Product of the Distributions x+λ and x+μ
B.FISHER
K.TA■
Acta Mathematica Sinica(English Series), 2006, 22 (06) : 1639 - 1644
[2] THE NON-COMMUTATIVE NEUTRIX PRODUCT OF THE DISTRIBUTIONS X+(-R) AND DELTA(P) (X)
FISHER, B
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1983, 14 (12): : 1439 - 1449
[3] On the non-commutative neutrix product of the distributions x-r+ lnp x+ and xμ+lnq x+
Fisher, Brian
Tas, Kenan
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2006, 17 (07) : 513 - 519
[4] On the non-commutative neutrix product of the distributions xλ+ and xμ+
Fisher, B.
Tas, K.
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2006, 22 (06) : 1639 - 1644
[5] On the non-commutative neutrix product of the distributions xr lnP | x | and x-s
Fisher, B
Tas, K
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2005, 16 (02) : 131 - 138
[6] A NON-COMMUTATIVE NEUTRIX PRODUCT OF DISTRIBUTIONS
FISHER, B
MATHEMATISCHE NACHRICHTEN, 1982, 108 : 117 - 127
[7] On the non-commutative neutrix product of the distributions xr lnp |x| and xs lnq |x|
Fisher, Brian
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2008, 19 (11) : 801 - 807
[8] A note on the non-commutative neutrix product of distributions
Emin Özçag
Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 1999, 109 : 87 - 94
[9] A note on the non-commutative neutrix product of distributions
Özçag, E
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1999, 109 (01): : 87 - 94
[10] Some results on the non-commutative neutrix product of distributions
Özçag, E
Fisher, B
Gürçay, H
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2001, 11 (01) : 49 - 60

← 1 2 3 4 5 →