D-Finite Functions and Beyond: Algorithms, Combinatorics, and Arithmetic

A special session at ACA 2023, Warsaw, Poland, July 17–21, 2023.


Aim and Scope

D-finite functions are solutions of linear differential equations with rational function coefficients. They form an important class of special functions that appears ubiquitously in algebra, combinatorics, number theory, and beyond. The class is closed under addition and multiplication, derivation and integration, various kinds of coefficient extraction, and under taking diagonals of series. The D-finiteness of generating functions also reflects the complexity of combinatorial classes, with definite relevance in enumeration. This has long made D-finite functions become a standard data structure for the manipulation of special functions in symbolic computation and combinatorics. D-finite functions also admit several extensions amenable to more recent algorithmic treatments, such as DD-finite functions and series defined by quadratic differential equations.

The goal of this special session is to create an exchanging forum for researchers who work on the algorithmic, combinatorial, and arithmetic aspects of D-finite and related functions. It is a continuation of the special session that took place in 2022.

Confirmed Speakers