Faster access than browser!
38 relations: Abramowitz and Stegun, Adrien-Marie Legendre, Baker's map, Bernoulli polynomials, Bernoulli scheme, Bessel function, Cantor set, Carl Friedrich Gauss, Characteristic (algebra), Chowla–Selberg formula, Completely multiplicative function, Complex multiplication, Digamma function, Dirichlet character, Dirichlet L-function, Discrete Fourier transform, Dissipation, Dyadic transformation, Dynamical system, Eigenvalues and eigenvectors, Finite field, Gamma function, Gauss sum, Harmonic number, Hurwitz zeta function, Joseph Ludwig Raabe, Kummer's function, Logarithmic derivative, Mathematics, Measure-preserving dynamical system, P-adic number, Polygamma function, Polylogarithm, Riemann zeta function, Series (mathematics), Shift operator, Special functions, Transfer operator.
Abramowitz and Stegun
Abramowitz and Stegun (AS) is the informal name of a mathematical reference work edited by Milton Abramowitz and Irene Stegun of the United States National Bureau of Standards (NBS), now the National Institute of Standards and Technology (NIST).
New!!: Multiplication theorem and Abramowitz and Stegun · See more »
Adrien-Marie Legendre
Adrien-Marie Legendre (18 September 1752 – 10 January 1833) was a French mathematician.
New!!: Multiplication theorem and Adrien-Marie Legendre · See more »
Baker's map
In dynamical systems theory, the baker's map is a chaotic map from the unit square into itself.
New!!: Multiplication theorem and Baker's map · See more »
Bernoulli polynomials
In mathematics, the Bernoulli polynomials, named after Jacob Bernoulli, occur in the study of many special functions and, in particular the Riemann zeta function and the Hurwitz zeta function.
New!!: Multiplication theorem and Bernoulli polynomials · See more »
Bernoulli scheme
In mathematics, the Bernoulli scheme or Bernoulli shift is a generalization of the Bernoulli process to more than two possible outcomes.
New!!: Multiplication theorem and Bernoulli scheme · See more »
Bessel function
Bessel functions, first defined by the mathematician Daniel Bernoulli and then generalized by Friedrich Bessel, are the canonical solutions of Bessel's differential equation for an arbitrary complex number, the order of the Bessel function.
New!!: Multiplication theorem and Bessel function · See more »
Cantor set
In mathematics, the Cantor set is a set of points lying on a single line segment that has a number of remarkable and deep properties.
New!!: Multiplication theorem and Cantor set · See more »
Carl Friedrich Gauss
Johann Carl Friedrich Gauss (Gauß; Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician and physicist who made significant contributions to many fields, including algebra, analysis, astronomy, differential geometry, electrostatics, geodesy, geophysics, magnetic fields, matrix theory, mechanics, number theory, optics and statistics.
New!!: Multiplication theorem and Carl Friedrich Gauss · See more »
Characteristic (algebra)
In mathematics, the characteristic of a ring R, often denoted char(R), is defined to be the smallest number of times one must use the ring's multiplicative identity (1) in a sum to get the additive identity (0) if the sum does indeed eventually attain 0.
New!!: Multiplication theorem and Characteristic (algebra) · See more »
Chowla–Selberg formula
In mathematics, the Chowla–Selberg formula is the evaluation of a certain product of values of the Gamma function at rational values in terms of values of the Dedekind eta function at imaginary quadratic irrational numbers.
New!!: Multiplication theorem and Chowla–Selberg formula · See more »
Completely multiplicative function
In number theory, functions of positive integers which respect products are important and are called completely multiplicative functions or totally multiplicative functions.
New!!: Multiplication theorem and Completely multiplicative function · See more »
Complex multiplication
In mathematics, complex multiplication (CM) is the theory of elliptic curves E that have an endomorphism ring larger than the integers; and also the theory in higher dimensions of abelian varieties A having enough endomorphisms in a certain precise sense (it roughly means that the action on the tangent space at the identity element of A is a direct sum of one-dimensional modules).
New!!: Multiplication theorem and Complex multiplication · See more »
Digamma function
In mathematics, the digamma function is defined as the logarithmic derivative of the gamma function: It is the first of the polygamma functions.
New!!: Multiplication theorem and Digamma function · See more »
Dirichlet character
In number theory, Dirichlet characters are certain arithmetic functions which arise from completely multiplicative characters on the units of \mathbb Z / k \mathbb Z. Dirichlet characters are used to define Dirichlet ''L''-functions, which are meromorphic functions with a variety of interesting analytic properties.
New!!: Multiplication theorem and Dirichlet character · See more »
Dirichlet L-function
In mathematics, a Dirichlet L-series is a function of the form Here χ is a Dirichlet character and s a complex variable with real part greater than 1.
New!!: Multiplication theorem and Dirichlet L-function · See more »
Discrete Fourier transform
In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of equally-spaced samples of the discrete-time Fourier transform (DTFT), which is a complex-valued function of frequency.
New!!: Multiplication theorem and Discrete Fourier transform · See more »
Dissipation
Dissipation is the result of an irreversible process that takes place in homogeneous thermodynamic systems.
New!!: Multiplication theorem and Dissipation · See more »
Dyadic transformation
The dyadic transformation (also known as the dyadic map, bit shift map, 2x mod 1 map, Bernoulli map, doubling map or sawtooth map) is the mapping (i.e., recurrence relation) produced by the rule Equivalently, the dyadic transformation can also be defined as the iterated function map of the piecewise linear function The name bit shift map arises because, if the value of an iterate is written in binary notation, the next iterate is obtained by shifting the binary point one bit to the right, and if the bit to the left of the new binary point is a "one", replacing it with a zero.
New!!: Multiplication theorem and Dyadic transformation · See more »
Dynamical system
In mathematics, a dynamical system is a system in which a function describes the time dependence of a point in a geometrical space.
New!!: Multiplication theorem and Dynamical system · See more »
Eigenvalues and eigenvectors
In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.
New!!: Multiplication theorem and Eigenvalues and eigenvectors · See more »
Finite field
In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements.
New!!: Multiplication theorem and Finite field · See more »
Gamma function
In mathematics, the gamma function (represented by, the capital Greek alphabet letter gamma) is an extension of the factorial function, with its argument shifted down by 1, to real and complex numbers.
New!!: Multiplication theorem and Gamma function · See more »
Gauss sum
In algebraic number theory, a Gauss sum or Gaussian sum is a particular kind of finite sum of roots of unity, typically where the sum is over elements of some finite commutative ring, is a group homomorphism of the additive group into the unit circle, and is a group homomorphism of the unit group into the unit circle, extended to non-unit where it takes the value 0.
New!!: Multiplication theorem and Gauss sum · See more »
Harmonic number
In mathematics, the -th harmonic number is the sum of the reciprocals of the first natural numbers: Harmonic numbers are related to the harmonic mean in that the -th harmonic number is also times the reciprocal of the harmonic mean of the first positive integers.
New!!: Multiplication theorem and Harmonic number · See more »
Hurwitz zeta function
In mathematics, the Hurwitz zeta function, named after Adolf Hurwitz, is one of the many zeta functions.
New!!: Multiplication theorem and Hurwitz zeta function · See more »
Joseph Ludwig Raabe
Joseph Ludwig Raabe (15 May 1801 in Brody, Galicia – 22 January 1859 in Zürich, Switzerland) was a Swiss mathematician.
New!!: Multiplication theorem and Joseph Ludwig Raabe · See more »
Kummer's function
In mathematics, there are several functions known as Kummer's function.
New!!: Multiplication theorem and Kummer's function · See more »
Logarithmic derivative
In mathematics, specifically in calculus and complex analysis, the logarithmic derivative of a function f is defined by the formula where f' is the derivative of f. Intuitively, this is the infinitesimal relative change in f; that is, the infinitesimal absolute change in f, namely f', scaled by the current value of f. When f is a function f(x) of a real variable x, and takes real, strictly positive values, this is equal to the derivative of ln(f), or the natural logarithm of f. This follows directly from the chain rule.
New!!: Multiplication theorem and Logarithmic derivative · See more »
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
New!!: Multiplication theorem and Mathematics · See more »
Measure-preserving dynamical system
In mathematics, a measure-preserving dynamical system is an object of study in the abstract formulation of dynamical systems, and ergodic theory in particular.
New!!: Multiplication theorem and Measure-preserving dynamical system · See more »
P-adic number
In mathematics, the -adic number system for any prime number extends the ordinary arithmetic of the rational numbers in a different way from the extension of the rational number system to the real and complex number systems.
New!!: Multiplication theorem and P-adic number · See more »
Polygamma function
In mathematics, the polygamma function of order is a meromorphic function on '''ℂ''' and defined as the th derivative of the logarithm of the gamma function: Thus holds where is the digamma function and is the gamma function.
New!!: Multiplication theorem and Polygamma function · See more »
Polylogarithm
In mathematics, the polylogarithm (also known as '''Jonquière's function''', for Alfred Jonquière) is a special function Lis(z) of order s and argument z. Only for special values of s does the polylogarithm reduce to an elementary function such as the natural logarithm or rational functions.
New!!: Multiplication theorem and Polylogarithm · See more »
Riemann zeta function
The Riemann zeta function or Euler–Riemann zeta function,, is a function of a complex variable s that analytically continues the sum of the Dirichlet series which converges when the real part of is greater than 1.
New!!: Multiplication theorem and Riemann zeta function · See more »
Series (mathematics)
In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity.
New!!: Multiplication theorem and Series (mathematics) · See more »
Shift operator
In mathematics, and in particular functional analysis, the shift operator also known as translation operator is an operator that takes a function to its translation.
New!!: Multiplication theorem and Shift operator · See more »
Special functions
Special functions are particular mathematical functions which have more or less established names and notations due to their importance in mathematical analysis, functional analysis, physics, or other applications.
New!!: Multiplication theorem and Special functions · See more »
Transfer operator
In mathematics, the transfer operator encodes information about an iterated map and is frequently used to study the behavior of dynamical systems, statistical mechanics, quantum chaos and fractals.
New!!: Multiplication theorem and Transfer operator · See more »
Redirects here:
Duplication formula, Gauss multiplication theorem, Gauss's multiplication formula, Legendre duplication formula, Multiplication formula, Multiplication formulas, Periodic zeta function.
References
[1] https://en.wikipedia.org/wiki/Multiplication_theorem
