Faster access than browser!
19 relations: Abel's theorem, Absolute convergence, Analytic function, Asymptotic analysis, Big O notation, Binomial theorem, Complex number, Conditional convergence, Formal power series, If and only if, Isaac Newton, John Wallis, Mathematics, Niels Henrik Abel, Power series, Radius of convergence, Ratio test, Table of Newtonian series, Taylor series.
Abel's theorem
In mathematics, Abel's theorem for power series relates a limit of a power series to the sum of its coefficients.
New!!: Binomial series and Abel's theorem · See more »
Absolute convergence
In mathematics, an infinite series of numbers is said to converge absolutely (or to be absolutely convergent) if the sum of the absolute values of the summands is finite.
New!!: Binomial series and Absolute convergence · See more »
Analytic function
In mathematics, an analytic function is a function that is locally given by a convergent power series.
New!!: Binomial series and Analytic function · See more »
Asymptotic analysis
In mathematical analysis, asymptotic analysis, also known as asymptotics, is a method of describing limiting behavior.
New!!: Binomial series and Asymptotic analysis · See more »
Big O notation
Big O notation is a mathematical notation that describes the limiting behaviour of a function when the argument tends towards a particular value or infinity.
New!!: Binomial series and Big O notation · See more »
Binomial theorem
In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.
New!!: Binomial series and Binomial theorem · See more »
Complex number
A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.
New!!: Binomial series and Complex number · See more »
Conditional convergence
In mathematics, a series or integral is said to be conditionally convergent if it converges, but it does not converge absolutely.
New!!: Binomial series and Conditional convergence · See more »
Formal power series
In mathematics, a formal power series is a generalization of a polynomial, where the number of terms is allowed to be infinite; this implies giving up the possibility of replacing the variable in the polynomial with an arbitrary number.
New!!: Binomial series and Formal power series · See more »
If and only if
In logic and related fields such as mathematics and philosophy, if and only if (shortened iff) is a biconditional logical connective between statements.
New!!: Binomial series and If and only if · See more »
Isaac Newton
Sir Isaac Newton (25 December 1642 – 20 March 1726/27) was an English mathematician, astronomer, theologian, author and physicist (described in his own day as a "natural philosopher") who is widely recognised as one of the most influential scientists of all time, and a key figure in the scientific revolution.
New!!: Binomial series and Isaac Newton · See more »
John Wallis
John Wallis (3 December 1616 – 8 November 1703) was an English clergyman and mathematician who is given partial credit for the development of infinitesimal calculus.
New!!: Binomial series and John Wallis · See more »
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
New!!: Binomial series and Mathematics · See more »
Niels Henrik Abel
Niels Henrik Abel (5 August 1802 – 6 April 1829) was a Norwegian mathematician who made pioneering contributions in a variety of fields.
New!!: Binomial series and Niels Henrik Abel · See more »
Power series
In mathematics, a power series (in one variable) is an infinite series of the form where an represents the coefficient of the nth term and c is a constant.
New!!: Binomial series and Power series · See more »
Radius of convergence
In mathematics, the radius of convergence of a power series is the radius of the largest disk in which the series converges.
New!!: Binomial series and Radius of convergence · See more »
Ratio test
In mathematics, the ratio test is a test (or "criterion") for the convergence of a series where each term is a real or complex number and is nonzero when is large.
New!!: Binomial series and Ratio test · See more »
Table of Newtonian series
In mathematics, a Newtonian series, named after Isaac Newton, is a sum over a sequence a_n written in the form where is the binomial coefficient and (s)_n is the rising factorial.
New!!: Binomial series and Table of Newtonian series · See more »
Taylor series
In mathematics, a Taylor series is a representation of a function as an infinite sum of terms that are calculated from the values of the function's derivatives at a single point.
New!!: Binomial series and Taylor series · See more »
Redirects here:
Newton binomial, Newton binomial theorem, Newton's binomial, Newton's binomial series, Newton's binomial theorem.
