An introduction to hypergeometric functions for economists
给出超几何函数的统一处理方法,揭示其在计量经济学和经济理论中的潜在应用,帮助经济学家用简洁显式解处理广泛问题。
Hypergeometric functions are a generalization of exponential functions. They are explicit, computable functions that can also be manipulated analytically. The functions and series we use in quantitative economics are all special cases of them. In this paper, a unified approach to hypergeometric functions is given. As a result, some potentially useful general applications emerge in a number of areas such as in econometrics and economic theory. The greatest benefit from using these functions stems from the fact that they provide parsimonious explicit (and interpretable) solutions to a wide range of general problems.