Riccati-Bessel functions

Riccati-Bessel functions

[ri′käd·ē ′bes·əl ‚fəŋk·shənz]
(mathematics)
Solutions of a second-order differential equation in a complex variable which have the form z ƒ(z), where ƒ(z) is a function in terms of polynomials and cos (z), sin (z).
References in periodicals archive ?
in which a is the sphere's radius, [[??].sub.n] (x) is the Riccati-Bessel functions of first kind, and [[??].sup.(2).sub.n](x) is the Riccati-Hankel functions of second kind.
[psi] and [zeta] are the Riccati-Bessel functions and the prime represents the first differentiation with respect to the argument in parentheses.
In (7), [[psi].sub.n](z) and [[xi].sub.n](z) are the Riccati-Bessel functions given by