Can this be represented as linear combinations of complex exponential: $\frac{1}{\sqrt{(1-(e^{(i\theta)}+e^{-i\theta})t+t^2)}}$. This is the generating function of Legendre polynomials $P_l(cos(\theta)$.
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Is $\frac{1}{1-e^{i\theta}t}$ a linear combination of complex exponentials? – Somos Sep 14 '20 at 13:52
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What are your intention? – AD - Stop Putin - Sep 15 '20 at 06:58
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I will post a solution, you can check if it is correct. – User1825 Sep 15 '20 at 07:04