Hypergeometric Orthogonal Polynomials And Their Q-analogues
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Foreword by Tom H. Koornwinder.- Preface.- 1.Definitions and miscellaneous formulas.- 2.Polynomial solutions of eigenvalue problems.- 3.Orthogonality of the polynomial solutions.- Part I: Classical orthogonal polynomials.- 4.Orthogonal polynomial solutions of differential equations, Continuous classical orthogonal polynomials.- 5.Orthogonal polynomial solutions of real difference equations, Discrete classical orthogonal polynomials I.- 6.Orthogonal polynomial solutions of complex difference equations, Discrete classical orthogonal polynomials II.- 7.Orthogonal polynomial solutions in x(x+u) of real difference equations, Discrete classical orthogonal polynomials III.- 8.Orthogonal polynomial solutions in z(z+u) of complex difference equations, Discrete classical orthogonal polynomials IV. Askey scheme of hypergeometric orthogonal polynomials.- 9.Hypergeometric orthogonal polynomials.- Part II: Classical q-orthogonal polynomials.- 10.Orthogonal polynomial solutions of q-difference equation.- Classical q-orthogonal polynomials I.- 11.Orthogonal polynomial solutions in q-x of q-difference equations,Classical q-orthogonal polynomials II.- 12.Orthogonal polynomial solutions in q-x +uqx of real q-difference equations, Classical q-orthogonal polynomials III.- 13.Orthogonal polynomial solutions in a/z + uz/a of complex q-difference equations, Classical q-orthogonal polynomials IV.- 14.Basic hypergeometric orthogonal polynomials.- Bibliography.- Index. EAN/ISBN : 9783642050145 Publisher(s): Springer, Berlin Discussed keywords: Polynom Format: ePub/PDF Author(s): Koekoek, Roelof - Lesky, Peter A. -
Swarttouw, Ren F.
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