Special issue OPSFA15: orthogonal polynomials, special functions and applications

Abstract

The special issue OPSFA15 contains the proceedings of the 15th International Symposium on Orthogonal Polynomials, Special Functions and Applications, which was held in Hagenberg, Austria, from 22 July to 26 July 2019. It was organized by the Research Institute for Symbolic Computation (RISC) of the Johannes Kepler University Linz (JKU) and the Johann Radon Institute for Computational and Applied Mathematics (RICAM) of the Austrian Academy of Sciences (ÖAW). This was the fifteenth edition in a series of conferences that take place approximately every two years and which started in 1984 with the meeting Polynômes Orthogonaux et Applications in Bar-le-Duc (France) at the occasion of the 150th anniversary of Laguerre. This was followed by meetings in Segovia (Spain, 1986), Erice (Italy, 1990), Evian (France, 1992), with four similarmeetings inColumbus,Ohio (USA, 1989), Delft (TheNetherlands, 1994), andGranada and Sevilla (Spain, 1991 and 1997) which, for somemysterious reason, are not counted asOPSFAmeetings, even though they should. Then Special Functionswere added to the theme of the conferences for the meeting in Patras (Greece, 1999), followed by conferences in Rome (Italy, 2001), Copenhagen (Denmark, 2003), München (Germany, 2005; a joint meeting with ICDEA and SIDE), Luminy (France, 2007), Leuven (Belgium, 2009) and Leganés (Spain, 2011). Up to that time all the conferences were in Europe (except for the NATO-ASI meeting in Columbus, Ohio). In order to reach interested participants everywhere, OPSFA12 was organized in Sousse (Tunisia) in 2013 and OPSFA13 at NIST in Gaithersburg, Maryland (USA) in 2015. The two latest meetings were OPSFA14 in Canterbury (UK, 2017) and then finally OPSFA15 at Hagenberg, Austria, for which the proceedings are in this special issue of Integral Transforms and Special Functions. The next meeting will be in Montréal, Canada. See https://wis.kuleuven.be/events/archive/OPSFA for more information about the OPSFA meetings. The 2019 edition of the OPSFA conference was attended by exactly 200 registered participants, coming from 40 different countries around the world. The scientific committee consisted ofWalter Van Assche, Diego Dominici, Kathy Driver, Galina Filipuk, Frank Garvan, Mourad Ismail, Doron Lubinsky, Zeinab Mansour, Francisco Marcellán, Bruno Salvy, Michael Schlosser, and Thomas Trogdon. The local organizers were Christoph Koutschan and Peter Paule. The program was split into twelve topical mini-symposia, organized by