English

Wright functions of the second kind and Whittaker functions

General Mathematics 2022-07-07 v5

Abstract

In the framework of higher transcendental functions the Wright functions of the second kind have increased their relevance resulting from their applications in probability theory and, in particular, in fractional diffusion processes. Here, these functions are compared with the well-known Whittaker functions in some special cases of fractional order. In addition, we point out two erroneous representations in the literature.

Keywords

Cite

@article{arxiv.2111.03510,
  title  = {Wright functions of the second kind and Whittaker functions},
  author = {Francesco Mainardi and Richard B. Paris and Armando Consiglio},
  journal= {arXiv preprint arXiv:2111.03510},
  year   = {2022}
}

Comments

16 pages, 8 figures

R2 v1 2026-06-24T07:27:51.091Z