Taylor’s type infinite products of some trigonometric functions. (English) Zbl 1538.40004
Summary: In this paper, some infinite product representations of sine and cosine functions (whose all possible zeros and \(n\)-th order differential coefficient at the point \(x=a\), can be calculated easily) are obtained by using the theory of polynomial equations. This approach is novel as it is different from the approaches used by other authors.
MSC:
40A20 | Convergence and divergence of infinite products |
40A30 | Convergence and divergence of series and sequences of functions |