AbstractIn this note we give a procedure for inverting the integral transform f(x) = ∫0∞ k(xt) φ(t) dt, where the functions f(x) and k(x) are known and φ(x) is to be found. The inversion is accomplished in two steps: by first defining a transforming function, which is an integral, followed by the application of an infinite order differential operator
AbstractConsider the Sturm-Liouville boundary-value problem 1.(1) y″ − q(x) y = −t2y, −∞ < a ⩽ x ⩽ b...
An integral transform Hy is defined which reduces to the ordinary Hilbert transform H0 when y=0, and...
An integral transform Hy is defined which reduces to the ordinary Hilbert transform H0 when y=0, and...
AbstractIn this note we give a procedure for inverting the integral transform f(x) = ∫0∞ k(xt) φ(t) ...
AbstractInversion algorithms have been derived by D. V. Widder for the Weierstrass transform and by ...
A formula of inversion is established for an integral transform whose kernel is the Bessel function ...
ABSTRACT. A formula of inversion is established for an integral transform whose kernel is the Bessel...
AbstractInversion formulas for integral transforms with kernels defined as solutions of differential...
AbstractLet Lx be the Sturm-Liouville differential operator Lx = −d2dx2 + q(x); x ϵ (0, ∞). We assum...
AbstractConsider the Sturm-Liouville boundary-value problem 1.(1) y″ − q(x) y = −t2y, −∞ < a ⩽ x ⩽ b...
By an appeal to the Laplace transform and their inverses we have obtained five inversión formulae fo...
summary:We deal with several classes of integral transformations of the form $$ \label {generalformu...
summary:We deal with several classes of integral transformations of the form $$ \label {generalformu...
AbstractIntegral equations of the type (∗) ∫0xK(xy)f(y)(dyy)=g(x),x≧ where g is given and f is an un...
An integral transform Hy is defined which reduces to the ordinary Hilbert transform H0 when y=0, and...
AbstractConsider the Sturm-Liouville boundary-value problem 1.(1) y″ − q(x) y = −t2y, −∞ < a ⩽ x ⩽ b...
An integral transform Hy is defined which reduces to the ordinary Hilbert transform H0 when y=0, and...
An integral transform Hy is defined which reduces to the ordinary Hilbert transform H0 when y=0, and...
AbstractIn this note we give a procedure for inverting the integral transform f(x) = ∫0∞ k(xt) φ(t) ...
AbstractInversion algorithms have been derived by D. V. Widder for the Weierstrass transform and by ...
A formula of inversion is established for an integral transform whose kernel is the Bessel function ...
ABSTRACT. A formula of inversion is established for an integral transform whose kernel is the Bessel...
AbstractInversion formulas for integral transforms with kernels defined as solutions of differential...
AbstractLet Lx be the Sturm-Liouville differential operator Lx = −d2dx2 + q(x); x ϵ (0, ∞). We assum...
AbstractConsider the Sturm-Liouville boundary-value problem 1.(1) y″ − q(x) y = −t2y, −∞ < a ⩽ x ⩽ b...
By an appeal to the Laplace transform and their inverses we have obtained five inversión formulae fo...
summary:We deal with several classes of integral transformations of the form $$ \label {generalformu...
summary:We deal with several classes of integral transformations of the form $$ \label {generalformu...
AbstractIntegral equations of the type (∗) ∫0xK(xy)f(y)(dyy)=g(x),x≧ where g is given and f is an un...
An integral transform Hy is defined which reduces to the ordinary Hilbert transform H0 when y=0, and...
AbstractConsider the Sturm-Liouville boundary-value problem 1.(1) y″ − q(x) y = −t2y, −∞ < a ⩽ x ⩽ b...
An integral transform Hy is defined which reduces to the ordinary Hilbert transform H0 when y=0, and...
An integral transform Hy is defined which reduces to the ordinary Hilbert transform H0 when y=0, and...
DOI
Add to ORKG