We propose a generalization of Laplace transformations to the case of linear partial differential operators (LPDOs) of arbitrary order in R . Practically all previously proposed differential transformations of LPDOs are particular cases of this transformation (intertwining Laplace transformation, ILT ). We give a complete algorithm of construction of ILT and describe the classes of operators in...

Related Articles Local trace formulae and scaling asymptotics for general quantized Hamiltonian flows J. Math. Phys. 53, 023501 (2012) Investigation on a nonisospectral fifth-order Korteweg-de Vries equation generalized from fluids J. Math. Phys. 53, 013502 (2012) Thermal analysis of high intensity organic light-emitting diodes based on a transmission matrix approach J. Appl. Phys. 110, 124516 ...

In this article, the electro-osmotic flow of Oldroyd-B fluid in a circular micro-channel with slip boundary condition is considered. The corresponding fractional system is represented by using a newly defined time-fractional Caputo-Fabrizio derivative without singular kernel. Closed form solutions for the velocity field are acquired by means of Laplace and finite Hankel transforms. Additionally...

Double barrier options have become popular instruments in derivative markets. Several papers have already analysed double knock-out call and put options using di erent methods. In a recent paper, Geman and Yor (1996) derive expressions for the Laplace transform of the double barrrier option price. However, they have to resort to numerical inversion of the Laplace transform to obtain option pric...

Related Articles Local trace formulae and scaling asymptotics for general quantized Hamiltonian flows J. Math. Phys. 53, 023501 (2012) Investigation on a nonisospectral fifth-order Korteweg-de Vries equation generalized from fluids J. Math. Phys. 53, 013502 (2012) Thermal analysis of high intensity organic light-emitting diodes based on a transmission matrix approach J. Appl. Phys. 110, 124516 ...

The inverse problem under consideration is to reconstruct the shape of an impenetrable two-dimensional obstacle with a generalized impedance boundary condition from the far field pattern for scattering of time-harmonic acoustic or E-polarized electromagnetic plane waves. We propose an inverse algorithm that extends the approach suggested by Johansson and Sleeman [10] for the case of the inverse...

The Hankel transform is widely used to solve various engineering and physics problems, such as the representation of electromagnetic field components in medium, dynamic stress intensity factors, vibration axisymmetric infinite membrane displacement factors which all involve this type integration. However, traditional numerical integration algorithms cannot be due high oscillation characteristic...