# Approximate functional equation for the derivatives of functions in   Selberg class

**Authors:** Yoshikatsu Yashiro

arXiv: 1703.06622 · 2017-03-21

## TL;DR

This paper extends the approximate functional equation, originally established for functions in the Selberg class, to include their derivatives, broadening the analytical tools available for such functions.

## Contribution

The paper generalizes the approximate functional equation to derivatives of functions in the Selberg class, enhancing understanding of their analytical properties.

## Key findings

- Derived the approximate functional equation for derivatives of Selberg class functions
- Extended the applicability of the functional equation to higher derivatives
- Provided a new analytical framework for studying Selberg class functions

## Abstract

Let $F(s)$ be a function belonging to Selberg class. Chandrasekharan and Narasiman proved the approximate functional equation for $F(s)$. In this paper, we shall generalize this formula for the derivatives of $F(s)$.

## Full text

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## References

10 references — full list in the complete paper: https://tomesphere.com/paper/1703.06622/full.md

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Source: https://tomesphere.com/paper/1703.06622