Hello

This is an algorithm that converts some functions to continuous fractions.
The result is compared with that obtained by the CONFRAC function of MAPLE.

Commentary:

For the ASIN, ACOS and ATAN functions, applying the CONFRAC function of MAPLE
in SmathStudio 7666 gives the result of "Empty stack"



Continuous_Fraction_algorith_SS6179_1.sm (77,65 KiB) scaricato 1429 volta(e).

Continuous_Fraction_algorith_SS7666.sm (80,28 KiB) scaricato 1397 volta(e).


HAPPY NEW YEAR 2021


Best Regards

Carlos

Wrote

For the ASIN, ACOS and ATAN functions, applying the CONFRAC function of MAPLE
in SmathStudio 7666 gives the result of "Empty stack"

Thanks Carlos for the 6179, saved, works fine, slow in my laptop.
Maybe Viacheslav will doctor maple 7666.
Thiele continued fraction is pure fascination, simply !
Your module [K, Table] is my companion, doing so well.
The reduction to J_frac is manual only, but simple.
After all, maths is work ... associative work.
Take care Carlos ... Jean

Thiele Unsolved J_Frac Expansion.sm (63,85 KiB) scaricato 1372 volta(e).