English

q,k-generalized gamma and beta functions

Quantum Algebra 2015-06-26 v2 High Energy Physics - Theory Quantum Physics

Abstract

We introduce the q,k-generalized Pochhammer symbol. We construct Γq,k\Gamma_{q,k} and Bq,kB_{q,k}, the q,k-generalized gamma and beta fuctions, and show that they satisfy properties that generalize those satisfied by the classical gamma and beta functions. Moreover, we provide integral representations for Γq,k\Gamma_{q,k} and Bq,k.B_{q,k}.

Cite

@article{arxiv.math/0405402,
  title  = {q,k-generalized gamma and beta functions},
  author = {Rafael Diaz and Carolina Teruel},
  journal= {arXiv preprint arXiv:math/0405402},
  year   = {2015}
}

Comments

17 pages