Sur les fonctions q -Bessel de Jackson

• Autores: Changgui Zhang
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 122, Nº 2, 2003, págs. 208-223
• Idioma: inglés
• DOI: 10.1016/s0021-9045(03)00073-x
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• Resumen

  • Laplace transform allows to resolve differential equations in the neighborhood of an irregular singular point. The purpose of the article is to study how to apply a basic Borel–Laplace transformation to q-difference equations satisfied by the q-Bessel functions of F.H. Jackson. Connection matrices are obtained between solutions at the origin and solutions at infinity.