Bernoulli polynomials

• 1 Bernoulli polynomials

贝努里多项式
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n.贝努里多项式

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• Bernoulli polynomials — In mathematics, the Bernoulli polynomials occur in the study of many special functions and in particular the Riemann zeta function and the Hurwitz zeta function. This is in large part because they are an Appell sequence, i.e. a Sheffer sequence… …   Wikipedia

• Bernoulli — can refer to: *any one or more of the Bernoulli family of Swiss mathematicians in the eighteenth century, including: ** Daniel Bernoulli (1700–1782), developer of Bernoulli s principle ** Jakob Bernoulli (1654–1705), also known as Jean or Jacques …   Wikipedia

• Bernoulli number — In mathematics, the Bernoulli numbers Bn are a sequence of rational numbers with deep connections to number theory. They are closely related to the values of the Riemann zeta function at negative integers. There are several conventions for… …   Wikipedia

• Bernoulli process — In probability and statistics, a Bernoulli processis a discrete time stochastic process consisting ofa sequence of independent random variables taking values over two symbols. Prosaically, a Bernoulli process is coin flipping, possibly with an… …   Wikipedia

• Bernoulli family — The Bernoullis were a family of traders and scholars from Basel, Switzerland. The founder of the family, Leon Bernoulli, immigrated to Basel from Antwerp in the Flanders in the 16th century.The Bernoulli family has produced many notable artists… …   Wikipedia

• Euler–Worpitzky–Chen polynomials — Introduction = The Euler Worpitzky Chen polynomials are closely related to the family of Euler Bernoulli polynomials and numbers. The coefficients of the polynomialsare integers, in contrast to the coefficients of the Euler and Bernoulli… …   Wikipedia

• Euler–Maclaurin formula — In mathematics, the Euler–Maclaurin formula provides a powerful connection between integrals (see calculus) and sums. It can be used to approximate integrals by finite sums, or conversely to evaluate finite sums and infinite series using… …   Wikipedia

• Faulhaber's formula — In mathematics, Faulhaber s formula, named after Johann Faulhaber, expresses the sum:sum {k=1}^n k^p = 1^p + 2^p + 3^p + cdots + n^pas a ( p + 1)th degree polynomial function of n , the coefficients involving Bernoulli numbers.Note: By the most… …   Wikipedia

• Multiplication theorem — In mathematics, the multiplication theorem is a certain type of identity obeyed by many special functions related to the gamma function. For the explicit case of the gamma function, the identity is a product of values; thus the name. The various… …   Wikipedia

• Polylogarithm — Not to be confused with polylogarithmic. In mathematics, the polylogarithm (also known as Jonquière s function) is a special function Lis(z) that is defined by the infinite sum, or power series: It is in general not an elementary function, unlike …   Wikipedia

• List of mathematics articles (B) — NOTOC B B spline B* algebra B* search algorithm B,C,K,W system BA model Ba space Babuška Lax Milgram theorem Baby Monster group Baby step giant step Babylonian mathematics Babylonian numerals Bach tensor Bach s algorithm Bachmann–Howard ordinal… …   Wikipedia