Maclaurin's type infinite products involving certain transcendental functions

In this paper, some infinite product representations of certain transcendental functions (whose all possible zeros and n-th order differential coefficient at the point x = 0, 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.

Automated summary

By utilizing the theory of polynomial equations, this paper presents infinite product representations for certain transcendental functions, allowing for easy calculation of all possible zeros and n-th order differential coefficient at x = 0. This novel approach sets it apart from methods used by other authors.