An infinite-series representation for functions in differentiability class
Keywords:
Infinite-series, representation, power series, Taylor series, smooth functions, gamma functionAbstract
Infinite-series representations find applications in many mathematical and engineering domains. The most common infinite-series representation is the power series. In this paper, we present a novel infinite-series representation of smooth functions and study its convergence. Additionally, we present applications, including an infinite-series representation of the gamma function.
