A generalization of the Gauss hypergeometric series
โ Scribed by J.D Louck; L.C Biedenharn
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 391 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## A transformation formula is given for the generalized hypergeometric function in series of similar functions. It is also shown how easily this formula, can be applied to deduce various classes of summ&tion theorems for multiple hypergeometric series. The main results ( 12), ( 15) and ( 18) belo
Summations over the positive integers n of the generalized hypergeometric expressions (\_+ 1)"pFp+ 1 [-n2x2] (X > 0) are derived in closed form. The specialization p = 0, for example, reduces to known results for Schl6milch series. In addition, we record the apparently not readily available sine and