Wenchang Chu, Chenying Wang, “Partial Sums of Two Quartic <nobr>$q$</nobr>-Series”, SIGMA, 2009, Volume 5,050, 19 pp.

This article is cited in 2 papers

Partial Sums of Two Quartic $q$-Series

Wenchang Chu^a, Chenying Wang^b

^a Dipartimento di Matematica, Università degli Studi di Salento, Lecce-Arnesano P. O. Box 193, Lecce 73100, Italy
^b College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China

Abstract: The partial sums of two quartic basic hypergeometric series are investigated by means of the modified Abel lemma on summation by parts. Several summation and transformation formulae are consequently established.

Keywords: basic hypergeometric series ($q$-series); well-poised q-series; quadratic $q$-series; cubic $q$-series; quartic $q$-series; the modified Abel lemma on summation by parts.

MSC: 33D15; 05A15

Received: January 20, 2009; in final form April 17, 2009; Published online April 22, 2009

Language: English

DOI: 10.3842/SIGMA.2009.050