mathematics, the Neumann polynomials, introduced by Carl Neumann for the special case α = 0 {\displaystyle \alpha =0} , are a sequence of polynomials in 1 / t...

algorithm Lerche–Newberger sum rule Lommel function Lommel polynomial Neumann polynomial Riccati-Bessel Functions Schlömilch's series Sonine formula...

Carl Gottfried Neumann (also Karl; 7 May 1832 – 27 March 1925) was a German mathematical physicist and professor at several German universities. His work...

John von Neumann (/vɒn ˈnɔɪmən/ von NOY-mən; Hungarian: Neumann János Lajos [ˈnɒjmɒn ˈjaːnoʃ ˈlɒjoʃ]; December 28, 1903 – February 8, 1957) was a Hungarian...

computer science In computational complexity theory, NP (nondeterministic polynomial time) is a complexity class used to classify decision problems. NP is...

In mathematics, the Bessel polynomials are an orthogonal sequence of polynomials. There are a number of different but closely related definitions. The...

was a New Zealand mathematician known for his work on von Neumann algebras and knot polynomials. He was awarded a Fields Medal in 1990. Jones was born in...

In the mathematical field of knot theory, the Jones polynomial is a knot polynomial discovered by Vaughan Jones in 1984. Specifically, it is an invariant...

verified in polynomial time. Another mention of the underlying problem occurred in a 1956 letter written by Kurt Gödel to John von Neumann. Gödel asked...

transform Integral transform Abel transform Fourier–Bessel series Neumann polynomial Y and H transforms Louis de Branges (1968). Hilbert spaces of entire...

introduced the subject for studying roots of polynomials. This allowed him to characterize the polynomial equations that are solvable by radicals in terms...

Orthogonality Generalized Fourier series Hankel transform Kapteyn series Neumann polynomial Schlömilch's series Magnus, Wilhelm; Oberhettinger, Fritz; Soni, Raj...

In operator theory, von Neumann's inequality, due to John von Neumann, states that, for a fixed contraction T, the polynomial functional calculus map...

In mathematics, the Zernike polynomials are a sequence of polynomials that are orthogonal on the unit disk. Named after optical physicist Frits Zernike...

} where a is nonzero, which is defined by a polynomial of degree four, called a quartic polynomial. A quartic equation, or equation of the fourth degree...

cases. When Dantzig arranged a meeting with John von Neumann to discuss his simplex method, von Neumann immediately conjectured the theory of duality by realizing...

In mathematics, the associated Legendre polynomials are the canonical solutions of the general Legendre equation ( 1 − x 2 ) d 2 d x 2 P ℓ m ( x ) − 2...

generation and made fundamental contributions to the theory of orthogonal polynomials and Toeplitz matrices building on the work of his contemporary Otto Toeplitz...

(\nu +m-n)}{n!(m-2n)!\Gamma (\nu +n)}}(z/2)^{2n-m}.} Lommel function Neumann polynomial Eugen von Lommel (1871). "Zur Theorie der Bessel'schen Functionen"...

natural number n. The following definition was first published by John von Neumann, although Levy attributes the idea to unpublished work of Zermelo in 1916...

presentation of an invertible matrix with polynomial coefficients as a product of three matrices. The Birkhoff - von Neumann decomposition, introduced by Garrett...

given for polynomial identity rings. The notation Z(R) will be used to denote the center of a ring R. Theorem: If R is a simple polynomial identity ring...

A fully polynomial-time approximation scheme (FPTAS) is an algorithm for finding approximate solutions to function problems, especially optimization problems...

applications include computing greatest common divisors of integers and polynomials. They are sometimes classified as multiple-instruction single-data (MISD)...

{\displaystyle 1} . The theory of subfactors led to the discovery of the Jones polynomial in knot theory. Usually M {\displaystyle M} is taken to be a factor of...

m a i z i {\displaystyle p(z)=\sum _{i=0}^{m}a_{i}z^{i}} is a complex polynomial, one can simply substitute T for z and define p ( T ) = ∑ i = 0 m a i...

{\displaystyle U_{k}(\beta )} again is the kth Chebyshev polynomial of the 2nd kind. And combining with our Neumann boundary condition, we have U 2 n + 1 ( β ) −...

1\}^{m(n)}} is an explicit (k, ε)-extractor, if Ext(x, y) can be computed in polynomial time (in its input length) and for every n, Extn is a (k(n), ε(n))-extractor...

In mathematics, the Neumann–Poincaré operator or Poincaré–Neumann operator, named after Carl Neumann and Henri Poincaré, is a non-self-adjoint compact...

more efficient. Determinants are used for defining the characteristic polynomial of a square matrix, whose roots are the eigenvalues. In geometry, the...