A New Proof of Classical Dixon's Summation Theorem for the Series 3F2(1)

被引:0
|
作者
Jun, Sungtae [1 ]
Kim, Insuk [2 ]
Rathie, Arjun K. [3 ]
机构
[1] Konkuk Univ, Gen Educ Inst, Chungju 380701, South Korea
[2] Wonkwang Univ, Dept Math Educ, Iksan 570749, South Korea
[3] Rajasthan Tech Univ, Vedant Coll Engn & Technol, Dept Math, Bundi 323021, Rajasthan, India
来源
关键词
Dixon's summation theorem; Hypergeometric series; Generalized Hypergeometric Function;
D O I
10.5269/bspm.42171
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The aim of this short note is to provide a new proof of classical Dixon's summation theorem for the series F-3(2)(1).
引用
收藏
页码:73 / 76
页数:4
相关论文
共 50 条
  • [1] ANOTHER PROOF OF CLASSICAL DIXON'S SUMMATION THEOREM FOR THE SERIES 3F2
    Kim, Insuk
    Cho, Myunghyun
    HONAM MATHEMATICAL JOURNAL, 2019, 41 (03): : 661 - 666
  • [2] ON SUMMATION THEOREMS FOR THE 3F2(1) SERIES
    Rao, K. Srinivasa
    Suresh, R.
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 46 (06) : 1061 - 1068
  • [3] Generalizations of classical summation theorems for the series 2F1 and 3F2 with applications
    Rakha, Medhat A.
    Rathie, Arjun K.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2011, 22 (11) : 823 - 840
  • [4] Contiguous Extensions of Dixon's Theorem on the Sum of a 3F2
    Choi, Junesang
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
  • [5] SOME SUMMATION FORMULAS FOR THE SERIES 3F2(1)
    LAVOIE, JL
    MATHEMATICS OF COMPUTATION, 1987, 49 (179) : 269 - 274
  • [6] ON A SUMMATION FORMULA FOR THE CLAUSEN'S SERIES 3F2 WITH APPLICATIONS
    Kim, Yong Sup
    Pogany, Tibor K.
    Rathie, Arjun K.
    MISKOLC MATHEMATICAL NOTES, 2009, 10 (02) : 145 - 153
  • [7] A New Proof Of The Classical Watson's Summation Theorem
    Rakha, Medhat Ahmed
    APPLIED MATHEMATICS E-NOTES, 2011, 11 : 278 - 282
  • [8] ANOTHER PROOF OF WATSONS THEOREM FOR SUMMING 3F2(1)
    BHATT, RC
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY, 1965, 40 (157P): : 47 - &
  • [9] A Study of Extensions of Classical Summation Theorems for the Series 3F2 and 4F3 with Applications
    Awad, Mohamed M.
    Koepf, Wolfram
    Mohammed, Asmaa O.
    Rakha, Medhat A.
    Rathie, Arjun K.
    RESULTS IN MATHEMATICS, 2021, 76 (02)
  • [10] ALTERNATIVE DERIVATIONS OF CERTAIN SUMMATION FORMULAS CONTIGUOUS TO DIXON'S SUMMATION THEOREM FOR A HYPERGEOMETRIC F-3(2) SERIES
    Choi, Junesang
    Rathie, Arjun K.
    Malani, Shaloo
    Mathur, Rachana
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2006, 13 (04): : 255 - 259