Hahn class orthogonal polynomials
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11—16 of 16 matching pages
11: 13.6 Relations to Other Functions
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Charlier Polynomials
…12: 18.2 General Orthogonal Polynomials
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►In fact, these are the only OP’s which are Sheffer polynomials (with Krawtchouk polynomials being only a finite system)
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13: 18.25 Wilson Class: Definitions
§18.25 Wilson Class: Definitions
… ►The Wilson class consists of two discrete families (Racah and dual Hahn) and two continuous families (Wilson and continuous dual Hahn). ►Table 18.25.1 lists the transformations of variable, orthogonality ranges, and parameter constraints that are needed in §18.2(i) for the Wilson polynomials , continuous dual Hahn polynomials , Racah polynomials , and dual Hahn polynomials . … ►Under certain conditions on their parameters the orthogonality range for the Wilson polynomials and continuous dual Hahn polynomials is , where is a specific finite set, e. … ►§18.25(ii) Weights and Standardizations: Continuous Cases
…14: 15.9 Relations to Other Functions
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Krawtchouk
…15: 18.26 Wilson Class: Continued
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§18.26(ii) Limit Relations
… ►See also Figure 18.21.1. ►§18.26(iii) Difference Relations
… ►§18.26(iv) Generating Functions
… ►§18.26(v) Asymptotic Approximations
…16: Bibliography
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Some orthogonal
-polynomials.
Math. Nachr. 30, pp. 47–61.
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Characterization theorems for orthogonal polynomials.
In Orthogonal Polynomials (Columbus, OH, 1989),
NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., Vol. 294, pp. 1–24.
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Classical Orthogonal Polynomials.
In Orthogonal Polynomials and Applications, C. Brezinski, A. Draux, A. P. Magnus, P. Maroni, and A. Ronveaux (Eds.),
Lecture Notes in Math., Vol. 1171, pp. 36–62.
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Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials.
Mem. Amer. Math. Soc. 54 (319), pp. iv+55.
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Continuous Hahn polynomials.
J. Phys. A 18 (16), pp. L1017–L1019.
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