两个Γ函数之比的界--从Wendel极限到Elezović-Giordano-Pečarić定理
Bounds for the ratio of two gamma functions--From Wendel's limit to Elezović-Giordano-Pečarić's theorem
摘要:
本文以界定两个Γ函数之比为主线,回顾和分析了Wendel,Gurland,Kazarinoff,Gautschi,Watson,Chu,Lazarević-Lupać,Kershaw和Elezović-Giordano-Pečarić不等式,断言,单调性和凸性等已有的结果.另一方面,介绍了近年来关于两个Γ函数之比的界的一些相关进展。
英文摘要:
In the survey paper, along one of main lines of bounding the ratio of two gamma functions, we look back and analyse some known results, including Wendel's, Gurland's, Kazarinoff's, Gautschi's, Watson's, Chu's, Lazarević-Lupaş's, Kershaw's and Elezović-Giordano-Pečarić's inequalities, claim, monotonic and convex properties. On the other hand, we introduce some related advances on the topic of bounding the ratio of two gamma functions in recent years.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。