On the positive powers of q-analogs of Euler series

Zhang, Changgui

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.1090/conm/782

Title :

On the positive powers of q-analogs of Euler series

Author(s) :

Zhang, Changgui [Auteur]

Laboratoire Paul Painlevé - UMR 8524 [LPP]

Journal title :

Contemporary mathematics

Publisher :

American Mathematical Society

Publication date :

2023

ISSN :

0271-4132

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

The most simple and famous divergent power series coming from ODE may be the so-called Euler series n≥0 (-1) n n! x n+1 , that, as well as all its positive powers, is Borel-summable in any direction excepted the negative ...
Show more >The most simple and famous divergent power series coming from ODE may be the so-called Euler series n≥0 (-1) n n! x n+1 , that, as well as all its positive powers, is Borel-summable in any direction excepted the negative real half-axis (see [2] or [7]). By considering a family of linear q-difference operators associated with a given first order non-homogenous q-difference equation, it will be shown that the summability order of q-analoguous counterparties of Euler series depends upon of the degree of power under consideration.Show less >

Language :

Anglais

Popular science :

Non

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

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