Geodesic
On the asymptotics of the basic functions of a generalized Taylor series for some classes of infinitely differentiable functions
Dalʹnevostočnyj matematičeskij žurnal, Tome 11 (2011) no. 1, pp. 56-75 
V. A. Makarichev. On the asymptotics of the basic functions of a generalized Taylor series for some classes of infinitely differentiable functions. Dalʹnevostočnyj matematičeskij žurnal, Tome 11 (2011) no. 1, pp. 56-75. http://geodesic.mathdoc.fr/item/DVMG_2011_11_1_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The existence of the asymptotics of the basic functions $\varphi_{s,n,k}(x)$ and $\psi_{s,n,p}(x)$ of a generalized Taylor series for nonquasianalytic function class $H_{\rho,2}$ is proved. The first term of the asymptotic expansions of these functions is obtained.

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