Advances in Pure and Applied Mathematics
Editor-in-Chief: Trimeche, Khalifa
Managing Editor: Bezzarga, Mounir / Kamoun, Lotfi / Karoui, Abderrazek / Mili, Maher
Editorial Board Member: Sifi, Mohamed / Zaag, Hatem / Zarati, Said / Aldroubi, Akram / Anker, Jean-Philippe / Bahouri, Hajer / Baklouti, Ali / Bakry, Dominique / Beznea, Lucian / Bonami, Aline / Demailly, Jean-Pierre / Fleckinger, Jacqueline / Gallardo, Leonard / Ismail, Mourad / Jouini, Elyes / Maday, Yvon / Mustapha, Sami / Ovsienko, Valentin / Pouzet, Maurice / Radulescu, Vicentiu / Schwartz, Lionel / Kobayashi, Toshiyuki / Aouadi, Saloua / Baraket, Sami / Begehr, Heinrich / Ben Abdelghani, Leila / Jarboui, Noomen / Marzougui, Habib / Peigné, Mark
4 Issues per year
CiteScore 2016: 0.36
SCImago Journal Rank (SJR) 2015: 0.342
Source Normalized Impact per Paper (SNIP) 2015: 0.554
Mathematical Citation Quotient (MCQ) 2015: 0.33
Opdam's hypergeometric functions: product formula and convolution structure in dimension 1
Let be the eigenfunctions of the Dunkl–Cherednik operator on . In this paper we express the product as an integral in terms of with an explicit kernel. In general this kernel is not positive. Furthermore, by taking the so-called rational limit, we recover the product formula of M. Rösler for the Dunkl kernel. We then define and study a convolution structure associated to .
Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.