as Bessel polynomials
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21—30 of 82 matching pages
21: 10.59 Integrals
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10.59.1
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22: 18.38 Mathematical Applications
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Approximation Theory
… ►Integrable Systems
… ►Ultraspherical polynomials are zonal spherical harmonics. … ►Group Representations
… ► …23: 8.7 Series Expansions
§8.7 Series Expansions
►For the functions , , and see (8.4.11), §§10.47(ii), and 18.3, respectively. … ►
8.7.6
, .
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24: 29 Lamé Functions
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25: 10.54 Integral Representations
26: 18.16 Zeros
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►Then
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27: 35.9 Applications
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►These references all use results related to the integral formulas (35.4.7) and (35.5.8).
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►In chemistry, Wei and Eichinger (1993) expresses the probability density functions of macromolecules in terms of generalized hypergeometric functions of matrix argument, and develop asymptotic approximations for these density functions.
►In the nascent area of applications of zonal polynomials to the limiting probability distributions of symmetric random matrices, one of the most comprehensive accounts is Rains (1998).
28: Bibliography L
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Hermite polynomials in asymptotic representations of generalized Bernoulli, Euler, Bessel, and Buchholz polynomials.
J. Math. Anal. Appl. 239 (2), pp. 457–477.
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29: 1 Algebraic and Analytic Methods
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30: 14 Legendre and Related Functions
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