Series representations for special functions and mathematical constants

被引：8
作者：
Alzer, Horst [1 ]
Richards, Kendall C. [2 ]
机构：
[1] Morsbacher Str 10, D-51545 Waldbrol, Germany
[2] Southwestern Univ, Dept Math, Georgetown, TX 78626 USA
来源：
RAMANUJAN JOURNAL | 2016年 / 40卷 / 02期
关键词：
Series representations; Special functions; Mathematical constants;
D O I：
10.1007/s11139-015-9679-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We develop a collection of single-parameter series representations involving special functions and mathematical constants. The techniques used result in new representations as well as alternative proofs of known representations.
引用
收藏
页码：291 / 310
页数：20
相关论文
共 19 条
  • [1] Abramowitz M., 1974, Handbook of mathematical functions with formulas, graphs, and mathematical tables, DOI DOI 10.2307/2282672
  • [2] Series representations in the spirit of Ramanujan
    Alkan, Emre
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 410 (01) : 11 - 26
  • [3] Series representations for γ and other mathematical constants
    Alzer, Horst
    Koumandos, Stamatis
    [J]. ANALYSIS MATHEMATICA, 2008, 34 (01) : 1 - 8
  • [4] Series representations for some mathematical constants
    Alzer, Horst
    Karayannakis, Dimitri
    Srivastava, H. M.
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 320 (01) : 145 - 162
  • [5] SERIES AND PRODUCT REPRESENTATIONS FOR SOME MATHEMATICAL CONSTANTS
    Alzer, Horst
    Koumandos, Stamatis
    [J]. PERIODICA MATHEMATICA HUNGARICA, 2009, 58 (01) : 71 - 82
  • [6] Andrews GE., 1999, SPECIAL FUNCTIONS EN
  • [7] The quest for PI
    Bailey, David H.
    Plouffe, Simon M.
    Borwein, Peter B.
    Borwein, Jonathan M.
    [J]. MATHEMATICAL INTELLIGENCER, 1997, 19 (01) : 50 - 56
  • [8] Berndt BC., 1999, Contemp. Math, V236, P15, DOI [10.1090/conm/236/03488, DOI 10.1090/CONM/236/03488]
  • [9] ON AN INTRIGUING INTEGRAL AND SOME SERIES RELATED TO ZETA(4)
    BORWEIN, D
    BORWEIN, JM
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (04) : 1191 - 1198
  • [10] A class of series acceleration formulae for Catalan's constant
    Bradley, DM
    [J]. RAMANUJAN JOURNAL, 1999, 3 (02) : 159 - 173
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