For my research project, I am looking for an analytical solution of the following recurrence relation,
(k+3)Ck+(2k+5)(a)Ck+1+(k+2)(a2+b2)Ck+2=0
subject to the initial conditions,
C0=1
C1=-3a/(a2+b2)
Is there any way to solve it analytically? Can you suggest a book on solving this kind of recurrence equations?
Issam Kaddoura
Dear Ashiqul Islam Dip,
There are many approaches to solve difference recurrences with variable coefficients. My advice is to follow Zeilberger algorithm.
Best regards
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