- Legendre function
- функция Лежандра
Авиасловарь. М.А.Левин. 2004.
Legendre function
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Associated Legendre function — Note: This article describes a very general class of functions. An important subclass of these functions mdash;those with integer ell and m mdash;are commonly called associated Legendre polynomials , even though they are not polynomials when m is … Wikipedia
Legendre rational functions — In mathematics the Legendre rational functions are a sequence of functions which are both rational and orthogonal. A rational Legendre function of degree n is defined as::R n(x) = frac{sqrt{2{x+1},L nleft(frac{x 1}{x+1} ight)where L n(x) is a… … Wikipedia
Legendre wavelet — Legendre wavelets: spherical harmonic wavelets = Compactly supported wavelets derived from Legendre polynomials are termed spherical harmonic or Legendre wavelets [1] . Legendre functions have widespread applications in which spherical coordinate … Wikipedia
Legendre's constant — is a mathematical constant occurring in a formula conjectured by Adrien Marie Legendre to capture the asymptotic behavior of the prime counting function scriptstylepi(x). Its value is now known to be exactly 1.Examination of available numerical… … Wikipedia
Legendre transformation — f(x) . The function is shown in red, and the tangent line at point (x 0, f(x 0)) is shown in blue. The tangent line intersects the vertical axis at (0, f^star) and f^star is the value of the Legendre transform f^star(p 0) , where p 0=dot{f}(x 0) … Wikipedia
Legendre polynomials — Note: People sometimes refer to the more general associated Legendre polynomials as simply Legendre polynomials . In mathematics, Legendre functions are solutions to Legendre s differential equation::{d over dx} left [ (1 x^2) {d over dx} P n(x)… … Wikipedia
Legendre chi function — In mathematics, the Legendre chi function is a special function whose Taylor series is also a Dirichlet series, given by:chi u(z) = sum {k=0}^infty frac{z^{2k+1{(2k+1)^ u}.As such, it resembles the Dirichlet series for the polylogarithm, and,… … Wikipedia
Legendre symbol — The Legendre symbol or quadratic character is a function introduced by Adrien Marie Legendre in 1798 [A. M. Legendre Essai sur la theorie des nombres Paris 1798, p 186] during his partly successful attempt to prove the law of quadratic… … Wikipedia
Legendre sieve — In mathematics, the Legendre sieve is the simplest method in modern sieve theory. It applies the concept of the Sieve of Eratosthenes to find upper or lower bounds on the number of primes within a given set of integers. Because it is a simple… … Wikipedia
Legendre relation — The term Legendre relation may refer to: * The Legendre sieve, for determining whether an integer is prime. * The Legendre duplication formula for the gamma function … Wikipedia
Legendre symbol — noun Mathematical function of an integer and a prime, written , indicating whether a is a square modulo p … Wiktionary
