Integral representations and properties of Stirling numbers of the first kind

被引：30

作者：

Qi, Feng ^{[1
]}

机构：

[1] Inner Mongolia Univ Nationalities, Coll Math, Tongliao City 028043, Inner Mongolia, Peoples R China

来源：

JOURNAL OF NUMBER THEORY | 2013年 / 133卷 / 07期

关键词：

Stirling number of the first kind; Integral representation; Logarithmically convex sequence; Completely monotonic function; Majorization; Property; FUNCTION (B(X)-A(X))/X; LOGARITHMIC CONVEXITY; BERNOULLI NUMBERS; INEQUALITIES;

D O I：

10.1016/j.jnt.2012.12.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：2307 / 2319

页数：13

共 50 条

[31] More asymptotic formulas for the generalized stirling numbers of the first kind
Vega, Mary Ann Ritzell P.
Corcino, Cristina B.
UTILITAS MATHEMATICA, 2008, 75 : 259 - 272
[32] On the p-adic valuation of stirling numbers of the first kind
Leonetti, P.
Sanna, C.
ACTA MATHEMATICA HUNGARICA, 2017, 151 (01) : 217 - 231
[33] Variations of central limit theorems and Stirling numbers of the first kind
Heim, Bernhard
Neuhauser, Markus
DISCRETE MATHEMATICS LETTERS, 2023, 12 : 54 - 61
[34] 2-Adic valuations of Stirling numbers of the first kind
Qiu, Min
Hong, Shaofang
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2019, 15 (09) : 1827 - 1855
[35] On the p-adic valuation of stirling numbers of the first kind
P. Leonetti
C. Sanna
Acta Mathematica Hungarica, 2017, 151 : 217 - 231
[36] Stirling Numbers of the Second Kind
Pak, Karol
FORMALIZED MATHEMATICS, 2005, 13 (02): : 337 - 345
[37] Explicit expressions and integral representations for the Stirling numbers. A probabilistic approach
Adell, Jose A.
Lekuona, Alberto
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)
[38] Explicit expressions and integral representations for the Stirling numbers. A probabilistic approach
José A. Adell
Alberto Lekuona
Advances in Difference Equations, 2019
[39] ON THE NUMBERS RELATED TO THE STIRLING NUMBERS OF THE SECOND KIND
Cakic, Nenad P.
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2007, 22 (02): : 105 - 108
[40] Smarandache Dual Symmetric Functions and correspondence numbers of the type of Stirling numbers of the first kind
Murthy, A
SMARANDACHE NOTIONS, VOL 12, 2001, 12 : 309 - 310

← 1 2 3 4 5 →