Sentence examples for an integral formula from inspiring English sources

In the third theorem, an integral formula for (psi_{j}(t)) is given.

To this end we prove an integral formula for the duality between tensor products and polynomials.

Thus, the obtained differentiator is exactly given by an integral formula which depends on a set of design parameters.

In order to obtain an integral formula for solutions to the problem (2.6) it is necessary to know the function.

We begin by presenting an integral formula involving the functions (31) and (32), which is asserted by the following lemma.

Purcell (1949) derived an integral formula representing the relative permeabilities as a function of capillary pressure data.

We give an explicit integral formula for certain solutions of the equation D=0.

It was exactly this simple observation which has lead to the idea of following a matrix approach in order to establish a Cauchy integral formula and the related function theoretic results in the Hermitean Clifford setting, see [14, 16].

In the paper [14], a Cauchy integral formula for Hermitean monogenic functions was established, obviously an essential result in the function theory.

In [16] a Cauchy integral formula for Hermitean monogenic functions was established, obviously an essential result in the development of the function theory.

Using weight coefficients, a complex integral formula, and Hermite–Hadamard's inequality, we give an extended reverse Hardy Hilbert's inequality in the whole plane with multiparameters and a best possible constant factor.