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q -Difference equations for generalized homogeneous q -operators and certain generating functions.
- Source :
- Journal of Difference Equations & Applications; Jun2014, Vol. 20 Issue 5/6, p837-851, 15p
- Publication Year :
- 2014
-
Abstract
- In this paper, we give two generalized homogeneousq-operator identities, which are obtained byq-difference equations. In addition, we generalize certain generating functions from Chen et al. [W.Y.C. Chen, A. M. Fu, and B. Zhang,The homogeneousq-difference operator, Adv. Appl. Math. 31 (2003), pp. 659–668] and Saad and Sukhi [H. L. Saad and A.A. Sukhi,Another homogeneousq-difference operator, Appl. Math. Comput. 215 (2010), pp. 4332–4339] by the method ofq-difference equations. Moreover, we gainU(n+1) generalizations of generating functions for Verma–Jain polynomials byq-difference equations. Finally, we obtain two transformational identities byq-difference equations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10236198
- Volume :
- 20
- Issue :
- 5/6
- Database :
- Complementary Index
- Journal :
- Journal of Difference Equations & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 96140654
- Full Text :
- https://doi.org/10.1080/10236198.2013.823955