Classical and Quantum Orthogonal Polynomials in One Variable

Rezensionen / Stimmen

'... an ambitious and imposing testament to the author's eminence in and love for the subject. All research workers in orthogonal polynomials will want to own this special work. I feel fortunate to have a copy of it.' The Mathematical Intelligencer 'The monograph by Mourad Ismail will meet the needs for an authoritative, up-to-date, self-contained and comprehensive account of the theory of orthogonal polynomials treated for the first time from the viewpoint of special functions. The coverage is encyclopedic ... Simplicity, clarity of exposition, thoughtfully designed exercises are among the book's strengths.' Zentralblatt Mathematik '... it should be on the bookshelf of any mathematician with an interest in either special functions, q-series, or orthogonal polynomials.' American Mathematical Society 'This is an impressive and monumental work on classical orthogonal polynomials and their q-analogs from the viewpoint of special functions.' Monatshefte fuer Mathematik 'This is the first modern treatment of orthogonal polynomials from the viewpoint of special functions. The coverage is encyclopedic ... [the work] will be valued as an authoritative reference and for graduate teaching, in which role it has already been successfully class-tested.' L'enseignement mathematique '... a delight to read, since one can find many new results or new approaches to well-known results. Also most of the chapters have a section with exercises, which range from being easy to having to look up research papers in order to be able to solve them. So the book ties in intimately with the current literature, and this is reflected by the 36-page bibliography, giving an excellent starting point to find one's way into the literature.' Erik Koelink, Bulletin of the London Mathematical Society