Vertex Algebras
Basic Definitions
Algebraic Operations
Convergence Considerations
Ring Structure
Symmetric Functions
Antisymmetric Functions
Mixed Symmetry Types
Manipulation Rules
Definition and Basic Properties
Sifting Property
Delta Function Identities
Derivatives of Delta Functions
Linear Operations
Product Operations
Composition Rules
Laurent Series Expansions
Partial Fraction Decomposition
Residue Calculations
Taylor Formula Applications
Binomial Theorem Extensions
Generating Functions
Symmetric Function Theory
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1. Foundations and Motivation
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3. Basic Structure of Vertex Algebras