eng Oriental Scientific Publishing Company Material Science Research India 0973-3469 2010-02-12 7 1 89 94 2229 article Continued Fraction Evaluation of Jn (X)/Jn-1 (X) A. S. Al-Fhaid 1 Department of Mathematics, College of Sciences, P.O.Box 80203, King Abdulaziz University, Jeddah-21589, Saudi Arabia.

In this paper, continued fraction expansion for the Bessel funcions ratio Jn (x)/Jn-1 (x) was developed. An efficient and simple computational algorithm based on this expansion was also developed using top-down evaluation procedure.Numerical results of the algorithm are in full agreement at least to fifteen digits accuracy with that of the standared tables.

 https://www.materialsciencejournal.org/vol7no1/continued-fraction-evaluation-of-jn-xjn-1-x/ Bessel functions Continued fraction Special functions Number theroy