# Connection problem for the generalized hypergeometric function

## TL;DR

This paper addresses the connection problem for the generalized hypergeometric function by deriving explicit connection coefficients between solutions at singular points 0 and 1, using analytic continuation of integral representations.

## Contribution

It provides explicit formulas for connection coefficients as products of sine and cosecant functions, advancing understanding of hypergeometric functions' analytic structure.

## Key findings

- Derived explicit connection coefficients between singular points 0 and 1
- Expressed connection coefficients as products of sine and cosecant functions
- Enhanced the analytic continuation framework for hypergeometric functions

## Abstract

We solve connection problem between fundamental solutions at singular points $0$ and $1$ for the generalized hypergeometric function, using analytic continuation of the integral representation. All connection coefficients are products of the sine and the cosecant.

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Source: https://tomesphere.com/paper/1904.02935