Title :
Summation formulas for nonterminating 4Φ3-series and 4Ψ4-series
Author_Institution :
Coll. of Math. & Phys., Chongqing Univ. of Sci. & Technol., Chongqing, China
Abstract :
In this paper, we proved transformation formulas for nonterminating very well-poised 4Φ3-series, 4Ψ4-series, 6Φ5-series, 6Ψ6-series, 8Φ7-series and 8Ψ8-series, which utilize the method of Abel´s lemma on summation by parts. These transformation formulas lead to obtained summation formulas for nonterminating 4Φ3-series and 4Ψ4-series.
Keywords :
series (mathematics); Abel lemma; Summation Formulas; nonterminating series; transformation formulas; Radio frequency; Abel´s lemma; differences; series; shifted factorial; summation formulas; transformation formula;
Conference_Titel :
Communication Software and Networks (ICCSN), 2011 IEEE 3rd International Conference on
Conference_Location :
Xi´an
Print_ISBN :
978-1-61284-485-5
DOI :
10.1109/ICCSN.2011.6014404
