논문KCI 등재
Extentions of two q-series identities
0
조회
0
다운로드
0
인용
0
참고문헌
주제분류수학
초록
Abstract
In this paper, we use the q-exponential operator technique to extend two q-series identities.
참고문헌 (6)
- Alladi, K., "A fundamential invariant in the theory of partitions, Topics in Number Theory", pp.101~113 (1999), Kluwer Academic Publishers
- Gasper, G., "Basic Hypergeometric Series" (1990), Cambridge University Press, Cambridge, MA
- Chen, W. Y. C., "Parameter augmentation for basic hypergeometric series, II", J. Comb. Theory, Ser. A, 80, pp.175~195 (1997)
- Chen, W. Y. C., "Parameter augmentation for basic hypergeometric series, I(in: Mathematical Essays in honor of Gian-Carlo Rota)", pp.111~129 (1998), Birkauser, Basel
- Liu, Z.-G., "Some operator identities and q-series transformation formulas", Discrete Math., 265, pp.119~139 (2003)
- Zhang, Zhizheng, "Two Operator Identities and Their Applications to Terminating Basic Hypergeometric Series and q-integrals", J. Math. Anal. Appl., 312(2), pp.653~665 (2005)
관련 논문AI추천
On q-Analog of Kummer's Theorem And its Contiguous ResultsArjun K. Rathie, Chang Hyun Lee, Yong Sup Kim대한수학회 · 대한수학회논문집2003 · 제18권 제1호$q$-Extensions of Genocchi NumbersM\, Mehmet Cenkci, Veli Kurt대한수학회 · 대한수학회지2006 · 제43권 제1호On the alternating sums of powers of consecutive $q$-integers김태균, 유천성, 임석훈대한수학회 · 대한수학회보2006 · 제43권 제3호A note on the extended q-Bernoulli numbers and polynomials김영희, 김태균, 최종성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제4호A note on the alternating sums of powers of consecutive q-integersS.-H. Rim, T. Kim, Y. Simsek장전수학회 · Advanced Studies in Contemporary Mathematics2006 · 제13권 제2호Some Relationships Between q-Product Identities, Combinatorial Partition Identities and Continued-Fraction IdentitiesH. M. Srivastava, M. P. Chaudhary장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제3호
이 간행물의 다른 논문 (12건)
On a nonlinear system of functional difference equations with nonlinear complicated mixed maximaT. K. Yuldashevpp. 1-4Integer programming in an algebraic computation modelValentin E. Brimkov, Stefan S. Dantchevpp. 5-20On a class of conjectures equivalent to the strong Goldbach's conjecturePeter Vassilevpp. 21-26A linear operator and associated families of meromorphically multivalent functions of order aM. K. Aouf, H. M. Srivastavapp. 27-56A refinement of Carleman's inequalityJ. Cao, D.-W. Niu, F. Qipp. 57-62