What's New
About the Project
NIST
10 Bessel FunctionsModified Bessel Functions

§10.33 Continued Fractions

Assume Iν-1(z)0. Then

10.33.1 Iν(z)Iν-1(z)=12νz-1+12(ν+1)z-1+12(ν+2)z-1+,
z0,
10.33.2 Iν(z)Iν-1(z)=12z/ν1+14z2/(ν(ν+1))1+14z2/((ν+1)(ν+2))1+,
ν0,-1,-2,.

See also Cuyt et al. (2008, pp. 361–367).