Content-Length: 26419 | pFad | https://dlmf.nist.gov/././././././././16.9
Assume that and none of the is a nonpositive integer. Then has at most finitely many zeros if and only if the can be re-indexed for in such a way that is a nonnegative integer.
Next, assume that and that the and the quotients are all real. Then has at most finitely many real zeros.