# Mellin-Barnes presentations for Whittaker wave functions

**Authors:** S. Kharchev, S. Khoroshkin

arXiv: 1907.00637 · 2020-10-30

## TL;DR

This paper derives Mellin-Barnes integral representations for Whittaker wave functions associated with classical real split Lie groups, providing a new analytical tool for their study.

## Contribution

It introduces explicit Mellin-Barnes integral formulas for Whittaker functions related to classical real split Lie groups, advancing analytical methods in representation theory.

## Key findings

- Derived Mellin-Barnes integrals for Whittaker functions
- Connected integral representations with classical Lie groups
- Enhanced analytical understanding of Whittaker wave functions

## Abstract

We obtain certain Mellin-Barnes integrals which present Whittaker wave functions related to classical real split forms of simple complex Lie groups.

## Full text

_Full body text omitted from this summary view._ Fetch the complete paper as Markdown: https://tomesphere.com/paper/1907.00637/full.md

## References

24 references — full list in the complete paper: https://tomesphere.com/paper/1907.00637/full.md

---
Source: https://tomesphere.com/paper/1907.00637