English

On the complete monotonicity of the three parameter generalized Mittag-Leffler function $E_{\alpha, \beta}^{\gamma}(-x)$

Mathematical Physics 2021-05-25 v2 math.MP

Abstract

Using the Bernstein theorem we give a simple proof of the complete monotonicity of the three parameter generalized Mittag-Leffler function Eα,βγ(x)E_{\alpha, \beta}^{\gamma}(-x) for x0x \geq 0 and suitably adjusted parameters α\alpha, β\beta and γ\gamma

Cite

@article{arxiv.1811.10441,
  title  = {On the complete monotonicity of the three parameter generalized Mittag-Leffler function $E_{\alpha, \beta}^{\gamma}(-x)$},
  author = {K. Górska and A. Horzela and A. Lattanzi and T. K. Pogány},
  journal= {arXiv preprint arXiv:1811.10441},
  year   = {2021}
}
R2 v1 2026-06-23T05:28:11.814Z