Catalan's constant [SEP] named after
Catalan's constant
In mathematics, Catalan's constant , which appears in combinatorics, is defined by
where is the Dirichlet beta function. Its numerical value is approximately 
It is not known whether is irrational, let alone transcendental.
Catalan's constant was named after Eugène Charles Catalan.
The similar but apparently more complicated series
can be evaluated exactly and is equal to π/32.
Integral identities.
Some identities involving definite integrals include
where the last three formulas are related to Malmsten's integrals .
after mathematician Eugène Catalan:
- Catalan numbers, a sequence of natural numbers that occur in various counting problems
- Catalan solids, a family of polyhedra
- Catalan's constant, a number that occurs in estimates in combinatorics
- Catalan's conjecture
Wine.
- Catalan (grape), another name for the wine grape Mourvèdre
- Catalan wine, an alternative name used in France for wine made from the Carignan grape
- Carignan, a wine grape that is also known as Catalan
Sports and