Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4672818 | Indagationes Mathematicae | 2016 | 12 Pages |
Abstract
We define qq-poly-Bernoulli polynomials Bn,ρ,q(k)(z) with a parameter ρρ, qq-poly-Cauchy polynomials of the first kind cn,ρ,q(k)(z) and of the second kind ĉn,ρ,q(k)(z) with a parameter ρρ by Jackson’s integrals, which generalize the previously known numbers and polynomials, including poly-Bernoulli numbers Bn(k) and the poly-Cauchy numbers of the first kind cn(k) and of the second kind ĉn(k). We investigate their properties connected with usual Stirling numbers and weighted Stirling numbers. We also give the relations between generalized poly-Bernoulli polynomials and two kinds of generalized poly-Cauchy polynomials.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Takao Komatsu,