Sentence examples for integral representations from inspiring English sources

Moreover, the integral representations of harmonic functions are also obtained.

end{aligned} Hence, both integral representations in (6.3) hold.

Such results as integral representations and coefficient inequalities are proved.

Here we aim at presenting certain integral representations for γ n by choosing to use three known integral representations for the Riemann zeta function ζ ( s ).

His method, based on integral representations, did not work in the case.

As applications, the integral representations of harmonic functions are also obtained.

Here, we present two integral representations for the function (mathtt {S}_{nu, c}^{mathtt{k}}).

We calculate the fundamental matrix and give integral representations for the velocity, magnetic induction and pressure.

We have the integral representations (see again, e.g., [[8], Chapter III.5]).

Works [1 6] are devoted to study of zeros of entire functions having integral representations.

We conclude this section by establishing two integral representations for (_{a}mathtt{B}_{b, p, c}).