Abstract. The neutrix product of the distributions ++ xnx l λ and rx −−−λ is evaluated for L,2,1,0 ±±≠λ and L,2,1=r. In the following, we let N be the neutrix, see van der Corput [1], having domain},,,2,1 { LL nN = and range the real numbers, with negligible functions finite linear sums of the functions Lll,2,1,0:,1 => − rnnnnn rr λλ and all functions which converge to zero in the normal sense as n tends to infinity. We now let)(xρ be any infinitely differentiable function having the following properties: (i),1for 0) ( ≥ = xx
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...
summary:The non-commutative neutrix product of the distributions $\ln x_+$ and $x_+^{-s} $ is proved...
Abstract. The Gamma function)(xΓ and the associated Gamma functions) ( ±Γ x are defined as distribut...
Abstract. Let f, g be distributions in D ′ and let fn = f ∗ δn, gn = g ∗ δn, where {δn} is a certain...
summary:Let $F$ and $G$ be distributions in $\Cal D'$ and let $f$ be an infinitely differentiable fu...
Let f and g be distributions and let gn = (g ∗ δn)(x), where δn(x) is a certain sequence converging ...
Abstract. The neutrix convolution of two locally summable functions or distributions f and g is defi...
We study neutrix products on Rm of homogeneous distributions. Asymptotic expansions in the infinity ...
We study neutrix products on Rm of homogeneous distributions. Asymptotic expansions in the infinity ...
The Beta function B(x,n) and the related Beta functions B(x ±, n) and B±(x,n) are defined as distrib...
Let f and g be distributions and let g(n) = (g * delta(n))(x), where delta(n)(x) is a certain sequen...
Abstract. It is well known that the sequential approach is one of the main tools of dealing with pro...
Abstract. The fixed infinitely differentiable function ρ(x) is such that {nρ(nx)} is a re-gular sequ...
Abstract. It is well known that the sequential approach is one of the main tools of dealing with pro...
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...
summary:The non-commutative neutrix product of the distributions $\ln x_+$ and $x_+^{-s} $ is proved...
Abstract. The Gamma function)(xΓ and the associated Gamma functions) ( ±Γ x are defined as distribut...
Abstract. Let f, g be distributions in D ′ and let fn = f ∗ δn, gn = g ∗ δn, where {δn} is a certain...
summary:Let $F$ and $G$ be distributions in $\Cal D'$ and let $f$ be an infinitely differentiable fu...
Let f and g be distributions and let gn = (g ∗ δn)(x), where δn(x) is a certain sequence converging ...
Abstract. The neutrix convolution of two locally summable functions or distributions f and g is defi...
We study neutrix products on Rm of homogeneous distributions. Asymptotic expansions in the infinity ...
We study neutrix products on Rm of homogeneous distributions. Asymptotic expansions in the infinity ...
The Beta function B(x,n) and the related Beta functions B(x ±, n) and B±(x,n) are defined as distrib...
Let f and g be distributions and let g(n) = (g * delta(n))(x), where delta(n)(x) is a certain sequen...
Abstract. It is well known that the sequential approach is one of the main tools of dealing with pro...
Abstract. The fixed infinitely differentiable function ρ(x) is such that {nρ(nx)} is a re-gular sequ...
Abstract. It is well known that the sequential approach is one of the main tools of dealing with pro...
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...
summary:The non-commutative neutrix product of the distributions $\ln x_+$ and $x_+^{-s} $ is proved...
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