A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Degenerate roots of three transcendental equations involving spherical Bessel functions

1979
*
Mathematics of Computation
*

Roots of the three transcendental equations j¡(a\)y¡(\) = )i(\)yi(aX), lxji(x)]'x=art[xy^x)]'x=r¡ = WWxsfjLxyfayi'xaaeav and li^)Yx=0lil[yt(x)]'x:=ß = lii(x)]'x=tl{y,(x)]'x=aß that are degenerate for certain values of the parameter a e (0,1) are presented. The symbols /', and y¡ denote the spherical Bessel functions of the first and second kind. Root degeneracies are discussed for each equation individually as well as for pairs of equations. Only positive roots are considered, since the

doi:10.1090/s0025-5718-1979-0528056-3
fatcat:btyaqknycravfjd3sjpicyf35y