mathematics, the Dirichlet beta function (also known as the Catalan beta function) is a special function, closely related to the Riemann zeta function. It is a...

In mathematics, a Dirichlet L-series is a function of the form L ( s , χ ) = ∑ n = 1 ∞ χ ( n ) n s . {\displaystyle L(s,\chi )=\sum _{n=1}^{\infty }{\frac...

Synchrotron function Riemann zeta function: A special case of Dirichlet series. Riemann Xi function Dirichlet eta function: An allied function. Dirichlet beta function...

Beta function may refer to: Beta function (physics), details the running of the coupling strengths Dirichlet beta function, closely related to the Riemann...

multivariate generalization of the beta distribution, hence its alternative name of multivariate beta distribution (MBD). Dirichlet distributions are commonly...

tangent integral, polygamma function, Riemann zeta function, Dirichlet eta function, and Dirichlet beta function. The Clausen function of order 2 – often referred...

mathematics, the beta function, also called the Euler integral of the first kind, is a special function that is closely related to the gamma function and to binomial...

popcorn function, the raindrop function, the countable cloud function, the modified Dirichlet function, the ruler function, the Riemann function, or the...

= 1 , {\displaystyle s=1,} and therefore the value β(1) of the Dirichlet beta function. π 4 = arctan ⁡ ( 1 ) = ∫ 0 1 1 1 + x 2 d x = ∫ 0 1 ( ∑ k = 0 n...

for the beta prime distribution. The generalization to multiple variables is called a Dirichlet distribution. The probability density function (PDF) of...