第一类Stirling数公式的猜想及其求解方法  

Conjecture and Solution on the First Stirling Formula

作　　者：李新社 姚俊萍 

机构地区：[1]西安高新技术研究所

出　　处：《哈尔滨师范大学自然科学学报》2014年第3期1-3,共3页Natural Science Journal of Harbin Normal University

基　　金：国家自然科学基金项目(61132008)

摘　　要：国内外诸多学者都研究过第一类Stirling数公式的得出及其证明方法,但过程复杂,应用起来计算量太大且难以实施.基于目前研究成果,猜想可适用一般要求的第一类Stirling数公式模型,并给出猜想模型的迭代型求解算法,思想原理简单且易于理解和接受.The first Stirling formula＇ s proving way has been studied by lots of scholars, but the invented proving process is too complicated and hard to master. Based on the present study, the first Stirling formula＇ s model, which is more adapt to the general requirements, is guessed, and the iterative arithmetic is given in this paper. Its idea and principle are simple and easy to understand and master.

关 键 词：STIRLING公式 迭代型 递推关系 

分 类 号：O157.1[理学—数学]