Evaluating a class of balanced $q$-series
By means of the modified Abel lemma on summation by parts, we examine a class of terminating balanced $q$-series. Two transformation formulae are established that contain ten summation formulae as consequences.
Keywords:
Abel's lemma on summation by parts, basic hypergeometric series terminating balanced series $q$-Pfaff--Saalschütz theorem,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK