of imaginary order
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11—20 of 119 matching pages
11: Bibliography T
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Steepest descent paths for integrals defining the modified Bessel functions of imaginary order.
Methods Appl. Anal. 1 (1), pp. 14–24.
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12: Bibliography P
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Fast analytic formulas for the modified Bessel functions of imaginary order for spectral line broadening calculations.
J. Quantit. Spec. and Rad. Trans. 62 (4), pp. 389–395.
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13: Bibliography B
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Asymptotic expansions of the modified Bessel function of the third kind of imaginary order.
SIAM J. Appl. Math. 15, pp. 1315–1323.
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Orthogonality relations for the associated Legendre functions of imaginary order.
Integral Transforms Spec. Funct. 24 (4), pp. 331–337.
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Bounds and algorithms for the -Bessel function of imaginary order.
LMS J. Comput. Math. 16, pp. 78–108.
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14: Software Index
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Open Source | With Book | Commercial | |||||||||||||||||||||||
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10.77(vi) Bessel Functions–Imaginary Order and Real Argument | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ||||||||||||||||||
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15: 36.11 Leading-Order Asymptotics
16: 14.17 Integrals
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►Orthogonality relations for the associated Legendre functions of imaginary order are given in Bielski (2013).
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17: 14.20 Conical (or Mehler) Functions
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14.20.4
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14.20.6
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14.20.7
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14.20.12
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►For the case of purely imaginary order and argument see Dunster (2013).
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18: 10.7 Limiting Forms
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10.7.6
and .
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