A survey of $q$-holonomic functions
Stavros Garoufalidis, T.T.Q. Le

TL;DR
This paper surveys the fundamental properties of $q$-holonomic functions across multiple variables, providing detailed proofs and examples to enhance understanding of this mathematical area.
Contribution
It compiles and explains key facts about $q$-holonomic functions, including detailed proofs and illustrative examples, serving as a comprehensive reference.
Findings
Summarizes core properties of $q$-holonomic functions
Provides detailed proofs for key results
Includes illustrative examples for clarity
Abstract
We give a survey of basic facts of -holonomic functions of one or several variables, following Zeilberger and Sabbah. We provide detailed proofs and examples.
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