summary:The non-commutative neutrix product of the distributions $\ln x_+$ and $x_+^{-s} $ is proved to exist for $s=1,2, \ldots$ and is evaluated for $s=1,2$. The existence of the non-commutative neutrix product of the distributions $x_+^{-r}$ and $x_+ ^{-s}$ is then deduced for $r,s= 1,2, \ldots$ and evaluated for $r=s=1$
xse µx is evaluated for r, s = 0, 1, 2,... and all λ, µ. Further commutative neutrix con-volution pr...
In this paper some products of distributions are derived. Theresults are obtained in Colombeau algeb...
In this paper some products of distributions are derived. Theresults are obtained in Colombeau algeb...
summary:The non-commutative neutrix product of the distributions $\ln x_+$ and $x_+^{-s} $ is proved...
summary:The non-commutative neutrix product of the distributions $\ln x_+$ and $x_+^{-s} $ is proved...
Abstract. Let f, g be distributions in D ′ and let fn = f ∗ δn, gn = g ∗ δn, where {δn} is a certain...
Abstract. The Gamma function)(xΓ and the associated Gamma functions) ( ±Γ x are defined as distribut...
Let f and g be distributions and let g(n) = (g * delta(n))(x), where delta(n)(x) is a certain sequen...
Let f and g be distributions and let gn = (g ∗ δn)(x), where δn(x) is a certain sequence converging ...
Abstract. The neutrix product of the distributions ++ xnx l λ and rx −−−λ is evaluated for L,2,1,0 ±...
summary:The commutative neutrix convolution product of the functions $x^r e_-^{\lambda x}$ and $x^s ...
We define regular distributions tan-1 + x and tan-1 - x from the function tan-1 x: We then evaluate ...
summary:Let $F$ and $G$ be distributions in $\Cal D'$ and let $f$ be an infinitely differentiable fu...
The neutrix composition F(f (x)) of a distribution F(x) and a locally summable function f (x) is sai...
Abstract: Results on singular products of Schwartz distributions on the Euclidean space R m are deri...
xse µx is evaluated for r, s = 0, 1, 2,... and all λ, µ. Further commutative neutrix con-volution pr...
In this paper some products of distributions are derived. Theresults are obtained in Colombeau algeb...
In this paper some products of distributions are derived. Theresults are obtained in Colombeau algeb...
summary:The non-commutative neutrix product of the distributions $\ln x_+$ and $x_+^{-s} $ is proved...
summary:The non-commutative neutrix product of the distributions $\ln x_+$ and $x_+^{-s} $ is proved...
Abstract. Let f, g be distributions in D ′ and let fn = f ∗ δn, gn = g ∗ δn, where {δn} is a certain...
Abstract. The Gamma function)(xΓ and the associated Gamma functions) ( ±Γ x are defined as distribut...
Let f and g be distributions and let g(n) = (g * delta(n))(x), where delta(n)(x) is a certain sequen...
Let f and g be distributions and let gn = (g ∗ δn)(x), where δn(x) is a certain sequence converging ...
Abstract. The neutrix product of the distributions ++ xnx l λ and rx −−−λ is evaluated for L,2,1,0 ±...
summary:The commutative neutrix convolution product of the functions $x^r e_-^{\lambda x}$ and $x^s ...
We define regular distributions tan-1 + x and tan-1 - x from the function tan-1 x: We then evaluate ...
summary:Let $F$ and $G$ be distributions in $\Cal D'$ and let $f$ be an infinitely differentiable fu...
The neutrix composition F(f (x)) of a distribution F(x) and a locally summable function f (x) is sai...
Abstract: Results on singular products of Schwartz distributions on the Euclidean space R m are deri...
xse µx is evaluated for r, s = 0, 1, 2,... and all λ, µ. Further commutative neutrix con-volution pr...
In this paper some products of distributions are derived. Theresults are obtained in Colombeau algeb...
In this paper some products of distributions are derived. Theresults are obtained in Colombeau algeb...