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Can I read Bailey's Very Well-poised ψ66-Series Identity on EtoBox?
Bailey's Very Well-poised ψ66-Series Identity by Wenchang Chu is a Mathematics article available to read on EtoBox.
What is Bailey's Very Well-poised ψ66-Series Identity about?
By means of Abel's method on summation by parts, some two term recurrence relations on very wellpoised 6 ψ 6 -series are established. Their iteration yields a 6 ψ 6 -series transformation with an extra natural number parameter. Evaluating the limiting series via Jacobi's triple product identity, we are led surprisingly to the celebrated bilateral 6 ψ 6 -series identity discovered by Bailey (1936). Then we shall further generalize it to a very well-poised 10 ψ 10 -series identity, which contains Shukla's formula (1959) as special case. Finally, the Abel's method on summation by parts will be employed again to investigate the bibasic hypergeometric series summation, which may be considered as an extension of a "split-poised" transformation on terminating 10 φ 9 -series due to Gasper (1989).
Who reads Bailey's Very Well-poised ψ66-Series Identity?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Wenchang Chu
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0097-3165)
- Published
- 2006
- Language
- EN
- Field
- Mathematics (Physical Sciences)