English

Certain generating functions for Cigler's polynomials

Combinatorics 2021-04-30 v1

Abstract

In this paper, we use the homogeneous qq-operators [J. Difference Equ. Appl. {\bf20 } (2014), 837--851.] to derive Rogers formulas, extended Rogers formulas and Srivastava-Agarwal type bilinear generating functions for Cigler's polynomials [J. Difference Equ. Appl. {\bf 24} (2018), 479--502.]. Finally, we also derive two interesting transformation formulas between 2Φ1,2Φ2{}_2\Phi_1, \, {}_2\Phi_2 and 3Φ2{}_3\Phi_2.

Keywords

Cite

@article{arxiv.2104.14405,
  title  = {Certain generating functions for Cigler's polynomials},
  author = {Sama Arjika},
  journal= {arXiv preprint arXiv:2104.14405},
  year   = {2021}
}

Comments

12 pages

R2 v1 2026-06-24T01:38:13.246Z