List of mathematical identities

This article lists mathematical identities, that is, identically true relations holding in mathematics.

• Bézout's identity (despite its usual name, it is not, properly speaking, an identity)
• Binomial inverse theorem
• Binomial identity
• Brahmagupta–Fibonacci two-square identity
• Candido's identity
• Cassini and Catalan identities
• Degen's eight-square identity
• Difference of two squares
• Euler's four-square identity
• Euler's identity
• Fibonacci's identity see Brahmagupta–Fibonacci identity or Cassini and Catalan identities
• Heine's identity
• Hermite's identity
• Lagrange's identity
• Lagrange's trigonometric identities
• MacWilliams identity
• Matrix determinant lemma
• Newton's identity
• Parseval's identity
• Pfister's sixteen-square identity
• Sherman–Morrison formula
• Sophie Germain identity
• Sun's curious identity
• Sylvester's determinant identity
• Vandermonde's identity
• Woodbury matrix identity

Identities for classes of functions

• Exterior calculus identities
• Fibonacci identities: Combinatorial Fibonacci identities and Other Fibonacci identities
• Hypergeometric function identities
• List of integrals of logarithmic functions
• List of topics related to π
• List of trigonometric identities
  • Inverse trigonometric functions
• Logarithmic identities
• Summation identities
• Vector calculus identities

See also

• List of inequalities – None
• List of set identities and relations – Equalities for combinations of sets

External links

• A Collection of Algebraic Identities
• Matrix Identities

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