List of things named after George Pólya

These are things named after George Pólya (1887–1985), a Hungarian-American mathematician.

Probability and statistics Pólya urn model – A self-reinforcing random process – A modification Pólya distribution – Negative binomial distribution Multivariate Pólya distribution – Compound multinomial distribution Pólya–Aeppli distribution – Special case of the compound Poisson distribution Pólya's characterization theorem – Statistical property of the normal distribution

Complex analysis Pólya class – Entire functions with certain properties Laguerre–Pólya class – A special case Pólya–Carlson theorem – On power series with integer coefficients Pólya theorem – On growth of an entire function and singularities of its Laplace transform Fatou–Hurwitz–Pólya theorem – On sign changes inside power series and natural boundaries Pólya's shire theorem – Relating the poles and derivatives of meromorphic functions Pólya's gap theorem – On the singularities of power series with gaps

Number theory Hilbert–Pólya conjecture – About the Riemann zeta function Pólya–Vinogradov inequality – Inequality on character sums Pólya conjecture – Disproven statement about prime factors Fueter–Pólya theorem – On quadratic pairing functions Jordan–Pólya number – The product of factorials

Combinatorics Pólya enumeration theorem – Generalizes Burnside's lemma on the number of orbits of a group action

Inequalities Pólya–Szegő inequality – Involving symmetric functions in a Sobolev space Pólya inequality – A bound involving polynomials

Awards and prizes George Pólya Prize – awarded by the Society for Industrial and Applied Mathematics Pólya Prize – awarded by the London Mathematical Society George Pólya Award – awarded by the Mathematical Association of America

References