A note on the sums of certain bilateral hypergeometric series
1959; Cambridge University Press; Volume: 55; Issue: 3 Linguagem: Inglês
10.1017/s0305004100033995
ISSN1469-8064
Autores Tópico(s)Mathematical functions and polynomials
ResumoSome years ago M. Jackson(5) obtained the sum of a particular 3 H 3 series which generalized the theorems of Whipple and Watson on sums of a 3 F 2 series, and later she(6) deduced the sum of a particular well-poised 6 H 6 ( – 1) series. In this note sums of certain particular bilateral hypergeometric series of the same type are given. They are believed to be new. In the sequel, the sum of a particular 8 Ψ 8 series has been obtained. The existence of a particular case of this sum was pointed out earlier by Slater and Lakin (11).
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