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 Jan8 awarded Student Jan7 revised Estimated solution to system of equations with phase-shifted functions deleted 4 characters in body Jan5 comment $\sum_{n=0}^{\infty} \frac{1}{2n+1} = 0.66215 + \frac{1}{2}\log(\infty)^{3}$ *fall = far (typo that I'm not allowed to correct). Jan5 comment Finding the First Few Terms of the Sum of Two Infinite Series That makes sense, I think. Without more knowledge the most I know to simplify this is $f(x) = \sum_{n=0}^\infty \left[ x^{n-11} \sum_{j=0}^n \left( a_{n-j} \sum_{k=0}^j d_k c_{j-k} \right) + x^{n-8} \sum_{j=0}^n e_j b_{n-j} \right]$ Jan5 awarded Supporter Jan5 comment Finding the First Few Terms of the Sum of Two Infinite Series Am I correct in thinking that $f(x) = \sum_{n=0}^\infty \left( x^{n-11} \sum_{j=0}^n \left( a_{n-j} \sum_{k=0}^j d_k c_{j-k} \right) \right) + \sum_{n=0}^\infty \left( x^{n-8} \sum_{j=0}^n e_j b_{n-j} \right)$ ? Jan3 comment Is there a general solution to this phase-shifted system of equations? For this question we can assume that the system is not underdetermined and that the number of equations matches the number of unknowns. Jan3 comment Is there a general solution to this phase-shifted system of equations? You make a good point about convergence. If $|\mu| > 1$ then simply divide the previous equation by $\mu$, add $\phi$ to both function arguments and you will have a new equation for which $|\mu| < 1$. Jan3 comment Is there a general solution to this phase-shifted system of equations? Added what I think is the generic recurrence solution. Jan3 revised Is there a general solution to this phase-shifted system of equations? added 187 characters in body Jan3 asked Is there a general solution to this phase-shifted system of equations? Jan2 revised Estimated solution to system of equations with phase-shifted functions added 497 characters in body Jan2 awarded Editor Jan2 revised Estimated solution to system of equations with phase-shifted functions added 43 characters in body Jan2 asked Estimated solution to system of equations with phase-shifted functions Jan2 awarded Autobiographer