cross-products
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11—17 of 17 matching pages
11: 10.67 Asymptotic Expansions for Large Argument
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§10.67(ii) Cross-Products and Sums of Squares in the Case
…12: 33.2 Definitions and Basic Properties
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§33.2(iv) Wronskians and Cross-Product
…13: Bibliography G
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Recurrence relations for cross-products of Bessel functions.
Quart. J. Mech. Appl. Math. 2 (1), pp. 72–74.
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On the exceptional zeros of cross-products of derivatives of spherical Bessel functions.
Z. Angew. Math. Phys. 36 (3), pp. 491–494.
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14: Bibliography C
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Remarks on the zeros of cross-product Bessel functions.
J. Soc. Indust. Appl. Math. 12 (3), pp. 580–587.
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The analyticity of cross-product Bessel function zeros.
Proc. Cambridge Philos. Soc. 62, pp. 215–226.
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The asymptotic nature of zeros of cross-product Bessel functions.
Quart. J. Mech. Appl. Math. 19 (4), pp. 511–522.
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15: 10.21 Zeros
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§10.21(x) Cross-Products
… ►Higher coefficients in the asymptotic expansions in this subsection can be obtained by expressing the cross-products in terms of the modulus and phase functions (§10.18), and then reverting the asymptotic expansion for the difference of the phase functions. … ►For information on the zeros of the derivatives of Riccati–Bessel functions, and also on zeros of their cross-products, see Boyer (1969). …16: Bibliography M
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On the zeros of cross-product Bessel functions.
J. Math. Mech. 16, pp. 447–452.
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On the zeros of a cross-product of Bessel functions of different orders.
Z. Angew. Math. Mech. 59 (6), pp. 272–273.
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17: Bibliography S
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A property of the zeros of cross-product Bessel functions of different orders.
Z. Angew. Math. Mech. 56 (2), pp. 120–121.
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