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28.630  Articles
1 of 2.863 pages  |  10  records  |  more records»
We obtain integral representations for positive definite functions of one variable, when kernels K(x,y)K(x,y) are positive definite. The proof is based on the spectral theory of differential operators of fourth order.

We obtain the integral representation of positive definite kernels of the two variables associated with differential expression of second order of elliptic type.

Technological processes in the energy sector and engineering require the calculation of temperature regime of functioning of different constructions. Mathematical model of thermal loading of constructions is reduced to a non-stationary initial-boundary va... see more

Technological processes in the energy sector and engineering require the calculation of temperature regime of functioning of different constructions. Mathematical model of thermal loading of constructions is reduced to a non-stationary initial-boundary va... see more

In the present work, we first introduce five new quadruple hypergeometric series and then we give integral representations of Euler type and Laplace type for these new hypergeometric series, which we denote by

we aim in this work at establishing new integral representations of Euler type for the Exton hypergeometric functions of four variables ,  the Sharma and Parihar hypergeometric functions of four variables  and the Lauricella function of four var... see more

This research aims to investigate the students’ mathematical representation ability through the implementation of Maple in learning definite integral and those with ordinary learning. This research used a quasi-experimental design with a pretest-posttest ... see more

The representation u(x) = F2(x)Qm-2(x)+Qm(x) for the solution to the Dirichlet problem for the Laplace equation in a disk: F2(x) = jx - x0j2 - c2 6 0, is proved using the Poisson integral; Qm(x) being the polynomial boundary function of degree m,&nbs... see more

The representation u(x) = F2(x)Qm-2(x)+Qm(x) for the solution to the Dirichlet problem for the Laplace equation in a disk: F2(x) = jx - x0j2 - c2 6 0, is proved using the Poisson integral; Qm(x) being the polynomial boundary function of degree m,&nbs... see more

1 of 2.863 pages  |  10  records  |  more records»