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New transformation and reduction formulae for double -Clausen series
- Source :
-
Journal of Mathematical Analysis & Applications . Jun2013, Vol. 402 Issue 2, p710-718. 9p. - Publication Year :
- 2013
-
Abstract
- Abstract: The Sears transformations for non-terminating -series are applied to derive several general series transformations for another two double -Clausen series of type and . Further new transformations and reduction formulae are established for the basic Clausen hypergeometric series. In particular, several bibasic reduction formulae are obtained. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 402
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 86032508
- Full Text :
- https://doi.org/10.1016/j.jmaa.2013.01.050