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Classical and quantum orthogonal polynomials in one variable
Ismail, M. E. H. ; Van Assche, W.
2005
Cambridge University Press
Cambridge
ISBN: 9780521782012, 9780521143479, 0521782015, 0521143470
Cambridge : Cambridge University Press XVIII, 706 pages (2005)2005
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Keyword(s): Orthogonal polynomials (LCSH)
Content:
- Preliminaries
- Orthogonal Polynomials
- Differential Equations
- Jacobi Polynomials
- Some Inverse Problems
- Discrete Orthogonal Polynomials
- Zeros and Inequalities
- Polynomials Orthogonal on the Unit Circle
- Linearization, Connections and Integral Representations
- The Sheffer Classification
- q-Series Preliminaries
- q-Summation Theorems
- Research Problems
- Multiple Orthogonal Polynomials
- The Riemann-Hilbert Problem
- Some Indeterminate Moment Problems
- Some q-Orthogonal Polynomials
- Polynomial Solutions to Functional Equations
- Fractional and q-Fractional Calculus
- Discrete q-Orthogonal Polynomials
- q-Hermite Polynomials on the Unit Circle
- The Askey-Wilson Operators
- The Askey-Wilson Polynomials
- Exponential and q-Bessel Functions
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