AbstractIn this paper a complex inversion formula for a generalized Laplace transform F(x)=Γ(A)Γ(B)∫0∞(xt)β1F1(A,B;–xt)f(t)dt where A=β+ν+1;B=α+β+ν:+1;β≥0and ν>0 has been obtained and extended to a class of generalized functions. A uniqueness theorem has been established for it
We consider a forced differential difference equation and by the use of Laplace Transform Theory gen...
AbstractLet f(z), an analytic function with radius of convergence R (0 < R < ∞) be represented by th...
AbstractLet A(p,k)(p,k∈N={1,2,3,…}) be the class of functions f(z)=zp+ap+kzp+k+⋯ which are analytic ...
AbstractThe main theme of the present paper is to establish a formula for calculating the Inverse La...
AbstractLet fϵLp(R), gϵLq(R) with 1<p<∞, 1<q<∞ and let Hf, Hg be their respective Hilbert transforms...
AbstractIn this paper we suggest a new kind of integral transform and establish the main theorems of...
AbstractThe asymptotic behaviour for t → ∞ of ʃ∞0 exp[tx–c(x)]dx is studied. The function c is posit...
AbstractWe prove a formula of Mehler-Heine type for a family of orthogonal polynomials in two variab...
AbstractLet k1 ⩽ k2 ⩽ … ⩽ kn be given positive integers and let F denote the set of vectors (l1, …, ...
In this paper, authors will present a new theorem and corollary on multi- dimensional Laplace trans...
AbstractA unification and generalisation of several extensions of the classical Laplace transform wa...
AbstractA Dirichlet series associated with a positive definite form of degree δ in n variables is de...
AbstractAn elementary proof is given of the Hasse-Weil theorem about the number of solutions of the ...
AbstractInversion formulas for integral transforms with kernels defined as solutions of differential...
AbstractLet ƒ0, ƒ1, ƒ2, be three real Laplace originals, vanishing on the negative halfline. The gen...
We consider a forced differential difference equation and by the use of Laplace Transform Theory gen...
AbstractLet f(z), an analytic function with radius of convergence R (0 < R < ∞) be represented by th...
AbstractLet A(p,k)(p,k∈N={1,2,3,…}) be the class of functions f(z)=zp+ap+kzp+k+⋯ which are analytic ...
AbstractThe main theme of the present paper is to establish a formula for calculating the Inverse La...
AbstractLet fϵLp(R), gϵLq(R) with 1<p<∞, 1<q<∞ and let Hf, Hg be their respective Hilbert transforms...
AbstractIn this paper we suggest a new kind of integral transform and establish the main theorems of...
AbstractThe asymptotic behaviour for t → ∞ of ʃ∞0 exp[tx–c(x)]dx is studied. The function c is posit...
AbstractWe prove a formula of Mehler-Heine type for a family of orthogonal polynomials in two variab...
AbstractLet k1 ⩽ k2 ⩽ … ⩽ kn be given positive integers and let F denote the set of vectors (l1, …, ...
In this paper, authors will present a new theorem and corollary on multi- dimensional Laplace trans...
AbstractA unification and generalisation of several extensions of the classical Laplace transform wa...
AbstractA Dirichlet series associated with a positive definite form of degree δ in n variables is de...
AbstractAn elementary proof is given of the Hasse-Weil theorem about the number of solutions of the ...
AbstractInversion formulas for integral transforms with kernels defined as solutions of differential...
AbstractLet ƒ0, ƒ1, ƒ2, be three real Laplace originals, vanishing on the negative halfline. The gen...
We consider a forced differential difference equation and by the use of Laplace Transform Theory gen...
AbstractLet f(z), an analytic function with radius of convergence R (0 < R < ∞) be represented by th...
AbstractLet A(p,k)(p,k∈N={1,2,3,…}) be the class of functions f(z)=zp+ap+kzp+k+⋯ which are analytic ...
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