Hankel functions
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21—30 of 72 matching pages
21: 10.8 Power Series
§10.8 Power Series
…22: 10.27 Connection Formulas
23: 10.22 Integrals
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Products
… ►Trigonometric Arguments
… ►Convolutions
… ►Fractional Integral
… ►§10.22(v) Hankel Transform
…24: 10.41 Asymptotic Expansions for Large Order
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§10.41(v) Double Asymptotic Properties (Continued)
… ►We first prove that for the expansions (10.20.6) for the Hankel functions and the -asymptotic property applies when , respectively. …25: 10.61 Definitions and Basic Properties
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10.61.2
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26: 11.2 Definitions
27: 10.23 Sums
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§10.23(i) Multiplication Theorem
… ►§10.23(ii) Addition Theorems
… ► … ►For collections of sums of series involving Bessel or Hankel functions see Erdélyi et al. (1953b, §7.15), Gradshteyn and Ryzhik (2000, §§8.51–8.53), Hansen (1975), Luke (1969b, §9.4), Prudnikov et al. (1986b, pp. 651–691 and 697–700), and Wheelon (1968, pp. 48–51).28: 28.23 Expansions in Series of Bessel Functions
29: 10.51 Recurrence Relations and Derivatives
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►Let denote any of , , , or .
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30: Bibliography C
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Determination of -zeros of Hankel functions.
Comput. Phys. Comm. 32 (3), pp. 333–339.
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Numerical techniques for finding -zeros of Hankel functions.
Math. Comp. 24 (110), pp. 413–422.
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The zeros of Hankel functions as functions of their order.
Numer. Math. 7 (3), pp. 238–250.
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Zeros of the Hankel function of real order out of the principal Riemann sheet.
J. Comput. Appl. Math. 37 (1-3), pp. 89–99.
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Zeros of the Hankel function of real order and of its derivative.
Math. Comp. 39 (160), pp. 639–645.
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