ASKSAGE: Sage Q&A Forum - Latest question feedhttp://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Thu, 08 Jun 2017 12:34:46 -0500indicial equationhttp://ask.sagemath.org/question/37861/indicial-equation/Let N be an integer. Let a, b, A_1,...,A_N be constant real numbers. Let g(n) be a real function of integer variable n.
g(n) satisfies the recurrence equation:
(n + 1)*(n + b)*g(n+1) = (n + a)*g(n) + sum(i=1 to N)(A_i * g(n-i))
with g(n)=0 for n<0 . g(0) is obtained through boundary conditions, so it can be considered a given constant.
I need to know the general functional form of the term g(n), as a function of the given constants of the problem: a,b,N,A_1,...,A_N and g(0).
Could you help me? Could I programm in SAGE the code to provide the searched general term g(n)?
Thanks for your attention.
Javier Garciafjgg1549Thu, 08 Jun 2017 12:34:46 -0500http://ask.sagemath.org/question/37861/