Map · 33
special functions
MSC 33 · Special functions
784 declarations (720 theorems, 64 definitions) across 26 files. 0 of the 2 famous theorems listed for this area are in Mathlib (0%). 32 open conjectures here are stated in Lean.
Files are assigned to areas by a language model reading each file's documentation. Report a file that is in the wrong area.
Subareas3
- 33B Elementary classical functions 521
- 33C Hypergeometric functions 135
- 33E Other special functions 128
Famous theorems0 of 2
From the 1000+ theorems project, which classifies each theorem by MSC area.
Not yet in Mathlib · 2
Open conjectures stated in Lean32
Statements without proofs, collected by the Formal Conjectures project.
- Irrational.algebraicIndependent_e_piWikipedia
- Irrational.irrational_e_plus_piWikipedia
- Irrational.irrational_e_times_piWikipedia
- Irrational.irrational_e_to_eWikipedia
- Irrational.irrational_ln_piWikipedia
- Irrational.irrational_pi_to_eWikipedia
- Irrational.irrational_pi_to_piWikipedia
- RiemannZetaValues.irrational_elevenWikipedia
- RiemannZetaValues.irrational_fiveWikipedia
Files26
Largest first. The code after each file is its assigned subarea.
- Mathlib.Analysis.SpecialFunctions.Elliptic.Weierstrass
Weierstrass `℘` functions
33E · 128
- Mathlib.Analysis.SpecialFunctions.Trigonometric.Inverse
Inverse trigonometric functions.
33B · 111
- Mathlib.Analysis.SpecialFunctions.Exp
Complex and real exponential
33B · 80
- Mathlib.Analysis.SpecialFunctions.ExpDeriv
Complex and real exponential
33B · 69
- Mathlib.Analysis.SpecialFunctions.Gamma.Basic
The Gamma function
33B · 36
- Mathlib.Analysis.SpecialFunctions.Gamma.Beta
The Beta function, and further properties of the Gamma function
33B · 29
- Mathlib.Analysis.SpecialFunctions.Trigonometric.Chebyshev.RootsExtrema
Chebyshev polynomials over the reals: roots and extrema
33C · 29
- Mathlib.Analysis.SpecialFunctions.RegularizedHypergeometric
Generalized hypergeometric function
33C · 28
- Mathlib.Analysis.SpecialFunctions.Gamma.BohrMollerup
Convexity properties of the Gamma function
33B · 27
- Mathlib.Analysis.SpecialFunctions.Gaussian.GaussianIntegral
Gaussian integral
33B · 26
- Mathlib.Analysis.SpecialFunctions.Trigonometric.InverseDeriv
derivatives of the inverse trigonometric functions
33B · 25
- Mathlib.Analysis.SpecialFunctions.Trigonometric.Series
Trigonometric functions as sums of infinite series
33B · 21