Transformation and Summation Formulas for Kampé de Fériet SeriesF0:31:1(1, 1)

✍ Scribed by S.N. Pitre; J. Van der Jeugt

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 141 KB
• Volume: 202
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.1996.0306

✦ Synopsis

The double hypergeometric Kampe de Feriet series F 1, 1 depends upon 9 ´´1:1 complex parameters. We present three cases with 2 relations between those 9 0:3 Ž . parameters, and show that under these circumstances F 1, 1 can be written as a 1:1 Ž . F 1 series. Some limiting cases of these transformation formulas give rise to new 4 3 0:3 Ž . summation results for special F 1, 1 's. The actual transformation results arose 1:1 out of the study of 9-j coefficients.