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Riccati-Bessel functions

The scattering coefficients (4.53) can be simplified somewhat by introducing the Riccati-Bessel functions ... [Pg.101]

RICCATI-BESSEL FUNCTIONS WITH REAL ARGUMENT X CALCULATED BY UPWARD RECURRENCE... [Pg.480]

These are related to the regular solutions (defined by their behavior as Riccati-Bessel functions/<, i r) jt kr) when r 0) by... [Pg.497]

For the open (asymptotically allowed) channels, the elements of a and b are simply proportional to the spherical Riccati—Bessel functions,[16]... [Pg.109]

Systems II and IV can be reduced to Riccati equations for which the solutions may be represented in terms of Bessel and Haenkel functions. System IV has been analyzed in some detail by A. D. Stepukhovich and L. M. Timonin, Zhur, Fix, Khim., 26, 143 (1951). System III had been earlier reported on by A. A. Balandin and L. S. Leibenson, CompL rend, acad, sci, U.R,S,S.f 39, 22 (1943). [Pg.55]

See other pages where Riccati-Bessel functions is mentioned: [Pg.349]    [Pg.103]    [Pg.183]    [Pg.484]    [Pg.98]    [Pg.98]    [Pg.199]    [Pg.696]    [Pg.1119]    [Pg.505]    [Pg.3129]    [Pg.11]    [Pg.21]    [Pg.109]    [Pg.139]    [Pg.240]    [Pg.241]    [Pg.59]    [Pg.349]    [Pg.103]    [Pg.183]    [Pg.484]    [Pg.98]    [Pg.98]    [Pg.199]    [Pg.696]    [Pg.1119]    [Pg.505]    [Pg.3129]    [Pg.11]    [Pg.21]    [Pg.109]    [Pg.139]    [Pg.240]    [Pg.241]    [Pg.59]   
See also in sourсe #XX -- [ Pg.696 ]



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