Transformations de q-Borel–Laplace au moyen de la fonction thêta de Jacobi

DOI10.1016/S0764-4442(00)00327-XzbMath1101.33307OpenAlexW2044545737MaRDI QIDQ4511639

Changgui Zhang

Publication date: 2000

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(00)00327-x

Mathematics Subject Classification ID

Laplace transform (44A10) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (13)

On the summability of a class of formal power series ⋮ q-Analogues of Laplace and Borel transforms by means of q-exponentials ⋮ About Jackson \(q\)-Bessel functions ⋮ Analytical study of the pantograph equation using Jacobi theta functions ⋮ On \(q\)-Gevrey asymptotics for singularly perturbed \(q\)-difference-differential problems with an irregular singularity ⋮ q-Borel-Laplace summation for q–difference equations with two slopes ⋮ On sequences preserving \(q\)-Gevrey asymptotic expansions ⋮ \(q\)-deformation of meromorphic solutions of linear differential equations ⋮ On \(q\)-summation and confluence ⋮ Confluence of meromorphic solutions of \(q\)-difference equations ⋮ Applications of an advanced differential equation in the study of wavelets ⋮ \(q\)-Gevrey asymptotic expansion and Jacobi theta function. ⋮ On the archimedean and nonarchimedean 𝑞-Gevrey orders

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