Hankel-type determinants and Drinfeld quasi-modular forms

TL;DR

This paper introduces Hankel-type determinants and demonstrates their application in computing specific families of Drinfeld quasi-modular forms, advancing the understanding of their structure and properties.

Contribution

It presents a novel class of Hankel-type determinants and applies them to explicitly compute Drinfeld quasi-modular forms, a new approach in the field.

Findings

Hankel-type determinants effectively compute Drinfeld quasi-modular forms

New explicit formulas for families of quasi-modular forms

Enhanced understanding of the structure of Drinfeld quasi-modular forms

Abstract

In this paper we introduce a class of determinants "of Hankel type". We use them to compute certain remarkable families of Drinfeld quasi-modular forms.