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A survey on recent extensions of the Stirling formula

2013/12/16 by Sorinel Dumitrescu, Dumitrescu, Sorinel, Cristinel Mortici +1
Mathematics · #11Y25 #26D15 #34E05 #41A25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Inequalities and Applications #Mathematical functions and polynomials #math.CA #msc:11Y25 #msc:26D15 #msc:34E05 #msc:41A25

paper · pdf · doi:10.48550/arxiv.1312.4402

7 pages

arxiv created 2013/12/16 · openalex publication_date 2013/12/16 · arxiv updated 2013/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a survey on recent results about Stirling's formula. More exactly, we reffer to a method using a form of Cesaro-Stolz lemma firstly introduced in [C. Mortici Product approximations via asymptotic integration Amer. Math. Monthly 117 (5) (2010) 434-441]. As an example we improve a result obtained in [C. Mortici A substantial improvement of the Stirling formula Appl. Math. Lett. 24 (2011) no. 8 1351-1354]. Finally, some numerical computations are made.

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