The Coefficients in an Asymptotic Expansion

On the Coefficients of the Asymptotic Expansion of n!

Applying a theorem of Howard to a formula recently proved by Brassesco and Méndez, we derive new simple explicit formulas for the coefficients of the asymptotic expansion of the sequence of factorials.

Asymptotic Expansion for Damped Wave Equations with Periodic Coefficients

Computation in an Asymptotic Expansion Method

An asymptotic expansion scheme in finance initiated by Kunitomo and Takahashi [15] and Yoshida[68] is a widely applicable methodology for analytic approximation of the expectation of a certain functional of diffusion processes. [46], [47] and [53] provide explicit formulas of conditional expectations necessary for the asymptotic expansion up to the third order. In general, the crucial step in p...

The First Coefficients of the Asymptotic Expansion of the Bergman Kernel of the Spin Dirac Operator

We establish the existence of the asymptotic expansion of the Bergman kernel associated to the spin Dirac operators acting on high tensor powers of line bundles with non-degenerate mixed curvature (negative and positive eigenvalues) by extending [15]. We compute the second coefficient b1 in the asymptotic expansion using the method of [24].

THE FIRST COEFFICIENTS OF THE ASYMPTOTIC EXPANSION OF THE BERGMAN KERNEL OF THE spin

We establish the existence of the asymptotic expansion of the Bergman kernel associated to the spin Dirac operators acting on high tensor powers of line bundles with non-degenerate mixed curvature (negative and positive eigenvalues) by extending [15]. We compute the second coefficient b1 in the asymptotic expansion using the method of [24].