【摘要】 讨论了一类Γ型广义幂级数的分析性质,分析了该类级数的收敛范围及一致收敛情况。证明了该类级数“求导”与“和号”可以换序;还给出了该类Γ型广义幂级数的一种应用,得到了Gamma分布函数的一种广义幂级数表示,用它来求Gamma分布的概率,是一种收敛速度很快的方法。更多还原

【Abstract】 Analytical features of generalized of Γ-type were discussed,with convergence domain and its compliance analyzed.Series derivation and summations were proved to be commutant in order.Example of application for this Γ-type generalized series was given to understand its series presentation in gamma distributional function.This series presentation was used to find gamma probability distribution,which is a very quick method of convergence speed.更多还原