Conociendo mejor a los q
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Chapter 2 The Classical Basic Hypergeometric Orthogonal Polynomials qR AW cqHa cdqHa ASC qMP cbqHe cqL cqHe cqJ F qHa bqJ bqL lqJ qM qK lqL qL qB qC SW F dqHa F QqK F AqK F dqK ASCI ASCII dqHeI dqHeII F F Info: relevant, squared: q−linear lattice, almost squared: quadratic lattice, oval: q −1 −linear lattice. Red line: particular case, black line: limiting case, orange line: if the first is on q, the second is on q −1 , blue lines: we discovered (new!), F: blunt orthogonality. Conociendo mejor a los q-polinomios Roberto S. Costas Santos Abbreviations: AW≡ Askeyi–Wilson, qR≡ q−Racah, cdqHa≡continuous dual q−Hahn, cqHa≡continuous q−Hahn, biqJ≡big q−Jacobi, qHa≡ q−Hahn, dqHa≡dual q−Hahn, ASC≡Al–Salam Chihara, qMP≡q−Meixner–Pollaczek, cqJ≡continuous q−Jacobi, bqL≡ big q−Laguerre, lqJ≡little q−Jacobi, qM≡ q−Meixner, qK≡ q−Krawtchouk QqK≡quantum q−Krawtchouk, AqK≡Affine q−Krawtchiuk, dqK≡dual q−Krawtchouk, cbqHe≡continuous big q−Hermite, cqL≡continuous q−Laguerre, lqL≡little q−Laguerre, qL≡ q−Laguerre, qB≡ q−Bessel, qC≡ q−Charlier, ASCI≡Al–Salam-Carlitz I, ASCII≡Al–Salam-Carlitz II, cqHe≡continuous q−Hermite, SW≡Stieltjes–Wigert, dqHeI≡discrete q−Hermite I, dqHeII≡discrete q−Hermite II. Universidad de Alcalá V encuentro iberoamericano de polinomios ortogonales y sus aplicaciones 8 de Junio, 2015, Mexico 9
