The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 13 Issue 4 Serial No. 34
- /
- Pages.255-259
- /
- 2006
- /
- 1226-0657(pISSN)
- /
- 2287-6081(eISSN)
ALTERNATIVE DERIVATIONS OF CERTAIN SUMMATION FORMULAS CONTIGUOUS TO DIXON'S SUMMATION THEOREM FOR A HYPERGEOMETRIC $_3F_2$ SERIES
- Choi, June-Sang (DEPARTMENT OF MATHEMATICS, COLLEGE OF NATURAL SCIENCES, DONGGUK UNIVERSITY) ;
- Rathie Arjun K. (DEPARTMENT OF MATHEMATICS, GOVT. P. G. COLLEGE, SUJANGARH DISTT.) ;
- Malani Shaloo (DEPARTMENT OF MATHEMATICS, GOVT. DUNGAR COLLEGE (BIKANER UNIVERSITY)) ;
- Mathur Rachana (DEPARTMENT OF MATHEMATICS, GOVT. DUNGAR COLLEGE (BIKANER UNIVERSITY))
- Published : 2006.11.30
Abstract
In 1994, Lavoie et al. have obtained twenty tree interesting results closely related to the classical Dixon's theorem on the sum of a
Keywords
- generalized hypergeometric series $_3F_2$;
- Dixon's theorem;
- Gauss's theorem;
- Kummer's theorem;
- generalized Kummer's theorem