orthogonal properties
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11: 18.27 -Hahn Class
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►All these systems of OP’s have orthogonality properties of the form
…Some of the systems of OP’s that occur in the classification do not have a unique orthogonality property.
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►They are defined by their -hypergeometric representations, followed by their orthogonality properties.
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12: 4.26 Integrals
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Orthogonality Properties
…13: 28.12 Definitions and Basic Properties
14: 18.36 Miscellaneous Polynomials
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►EOP’s are non-classical in that not only are certain polynomial orders missing, but, also, not all EOP polynomial zeros are within the integration range of their generating measure, and EOP-orthogonality properties do not allow development of Gaussian-type quadratures.
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15: 18.28 Askey–Wilson Class
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►In the remainder of this section the Askey–Wilson class OP’s are defined by their -hypergeometric representations, followed by their orthogonal properties.
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16: 10.22 Integrals
17: William P. Reinhardt
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►Reinhardt is a theoretical chemist and atomic physicist, who has always been interested in orthogonal polynomials and in the analyticity properties of the functions of mathematical physics.
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18: 28.2 Definitions and Basic Properties
§28.2 Definitions and Basic Properties
… ►Other properties are as follows. … ►A solution with the pseudoperiodic property (28.2.14) is called a Floquet solution with respect to . … ►Change of Sign of
… ►The functions are orthogonal, that is, …19: Errata
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►We have significantly expanded the section on associated orthogonal polynomials, including expanded properties of associated Laguerre, Hermite, Meixner–Pollaczek, and corecursive orthogonal and numerator and denominator orthogonal polynomials.
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20: Vadim B. Kuznetsov
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►Kuznetsov published papers on special functions and orthogonal polynomials, the quantum scattering method, integrable discrete many-body systems, separation of variables, Bäcklund transformation techniques, and integrability in classical and quantum mechanics.
He was also editor of The
Kowalevski Property, CRM Proceedings and Lecture Notes 32, published by the American Mathematical Society in 2002.
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