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An improvement of the Ramanujan formula for approximation of the Euler gamma function
被引:0
作者
:
Mortici, Cristinel
论文数:
0
引用数:
0
h-index:
0
机构:
Valahia Univ Targoviste, Dept Math, Targoviste 130082, Romania
Valahia Univ Targoviste, Dept Math, Targoviste 130082, Romania
Mortici, Cristinel
[
1
]
机构
:
[1]
Valahia Univ Targoviste, Dept Math, Targoviste 130082, Romania
来源
:
CARPATHIAN JOURNAL OF MATHEMATICS
|
2012年
/ 28卷
/ 02期
关键词
:
Ramanujan's formula;
gamma function;
approximations;
inequalities;
D O I
:
暂无
中图分类号
:
O29 [应用数学];
学科分类号
:
070104 ;
摘要
:
The aim of this paper is to improve a double inequality due to Ramanujan for approximation of the Euler gamma function.
引用
收藏
页码:301 / 304
页数:4
相关论文
共 12 条
[1]
On some inequalities for the gamma and psi functions
Alzer, H
论文数:
0
引用数:
0
h-index:
0
Alzer, H
[J].
MATHEMATICS OF COMPUTATION,
1997,
66
(217)
: 373
-
389
[2]
On Ramanujan's double inequality for the gamma function
Alzer, H
论文数:
0
引用数:
0
h-index:
0
Alzer, H
[J].
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY,
2003,
35
: 601
-
607
[3]
Anderson G. D., 1997, CAN MATH SOC MAT
[4]
On the asymptotic representation of the Euler gamma function by Ramanujan
Karatsuba, EA
论文数:
0
引用数:
0
h-index:
0
机构:
RAS, Ctr Comp, Moscow 117967, Russia
RAS, Ctr Comp, Moscow 117967, Russia
Karatsuba, EA
[J].
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,
2001,
135
(02)
: 225
-
240
[5]
Mortici C, 2009, CARPATHIAN J MATH, V25, P186
[6]
Mortici C, 2011, AN STIINT U AL I-MAT, V57, P57
[7]
Product Approximations via Asymptotic Integration
Mortici, Cristinel
论文数:
0
引用数:
0
h-index:
0
机构:
Valahia Univ Targoviste, Dept Math, Targoviste, Romania
Valahia Univ Targoviste, Dept Math, Targoviste, Romania
Mortici, Cristinel
[J].
AMERICAN MATHEMATICAL MONTHLY,
2010,
117
(05)
: 434
-
441
[8]
OPTIMIZING THE RATE OF CONVERGENCE IN SOME NEW CLASSES OF SEQUENCES CONVERGENT TO EULER'S CONSTANT
Mortici, Cristinel
论文数:
0
引用数:
0
h-index:
0
机构:
Valahia Univ Targoviste, Dept Math, Targoviste 130082, Romania
Valahia Univ Targoviste, Dept Math, Targoviste 130082, Romania
Mortici, Cristinel
[J].
ANALYSIS AND APPLICATIONS,
2010,
8
(01)
: 99
-
107
[9]
Improved convergence towards generalized Euler-Mascheroni constant
Mortici, Cristinel
论文数:
0
引用数:
0
h-index:
0
机构:
Valahia Univ Targoviste, Dept Math, Targoviste 130082, Romania
Valahia Univ Targoviste, Dept Math, Targoviste 130082, Romania
Mortici, Cristinel
[J].
APPLIED MATHEMATICS AND COMPUTATION,
2010,
215
(09)
: 3443
-
3448
[10]
New approximations of the gamma function in terms of the digamma function
Mortici, Cristinel
论文数:
0
引用数:
0
h-index:
0
机构:
Valahia Univ Targoviste, Dept Math, Targoviste 130082, Romania
Valahia Univ Targoviste, Dept Math, Targoviste 130082, Romania
Mortici, Cristinel
[J].
APPLIED MATHEMATICS LETTERS,
2010,
23
(01)
: 97
-
100
←
1
2
→
共 12 条
[1]
On some inequalities for the gamma and psi functions
Alzer, H
论文数:
0
引用数:
0
h-index:
0
Alzer, H
[J].
MATHEMATICS OF COMPUTATION,
1997,
66
(217)
: 373
-
389
[2]
On Ramanujan's double inequality for the gamma function
Alzer, H
论文数:
0
引用数:
0
h-index:
0
Alzer, H
[J].
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY,
2003,
35
: 601
-
607
[3]
Anderson G. D., 1997, CAN MATH SOC MAT
[4]
On the asymptotic representation of the Euler gamma function by Ramanujan
Karatsuba, EA
论文数:
0
引用数:
0
h-index:
0
机构:
RAS, Ctr Comp, Moscow 117967, Russia
RAS, Ctr Comp, Moscow 117967, Russia
Karatsuba, EA
[J].
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,
2001,
135
(02)
: 225
-
240
[5]
Mortici C, 2009, CARPATHIAN J MATH, V25, P186
[6]
Mortici C, 2011, AN STIINT U AL I-MAT, V57, P57
[7]
Product Approximations via Asymptotic Integration
Mortici, Cristinel
论文数:
0
引用数:
0
h-index:
0
机构:
Valahia Univ Targoviste, Dept Math, Targoviste, Romania
Valahia Univ Targoviste, Dept Math, Targoviste, Romania
Mortici, Cristinel
[J].
AMERICAN MATHEMATICAL MONTHLY,
2010,
117
(05)
: 434
-
441
[8]
OPTIMIZING THE RATE OF CONVERGENCE IN SOME NEW CLASSES OF SEQUENCES CONVERGENT TO EULER'S CONSTANT
Mortici, Cristinel
论文数:
0
引用数:
0
h-index:
0
机构:
Valahia Univ Targoviste, Dept Math, Targoviste 130082, Romania
Valahia Univ Targoviste, Dept Math, Targoviste 130082, Romania
Mortici, Cristinel
[J].
ANALYSIS AND APPLICATIONS,
2010,
8
(01)
: 99
-
107
[9]
Improved convergence towards generalized Euler-Mascheroni constant
Mortici, Cristinel
论文数:
0
引用数:
0
h-index:
0
机构:
Valahia Univ Targoviste, Dept Math, Targoviste 130082, Romania
Valahia Univ Targoviste, Dept Math, Targoviste 130082, Romania
Mortici, Cristinel
[J].
APPLIED MATHEMATICS AND COMPUTATION,
2010,
215
(09)
: 3443
-
3448
[10]
New approximations of the gamma function in terms of the digamma function
Mortici, Cristinel
论文数:
0
引用数:
0
h-index:
0
机构:
Valahia Univ Targoviste, Dept Math, Targoviste 130082, Romania
Valahia Univ Targoviste, Dept Math, Targoviste 130082, Romania
Mortici, Cristinel
[J].
APPLIED MATHEMATICS LETTERS,
2010,
23
(01)
: 97
-
100
←
1
2
→