Mathematica MathWorld Wolfram Science More »

Infinite Series Explorer


	Mathematica can explicitly evaluate a large number of infinite power series. This Demonstration gives some elementary examples with simple coefficients that sum to exponential, trigonometric, hyperbolic, and logarithmic functions. Not included are hypergeometric functions, binomial expansions, inverse trigonometric functions, or Dirichlet series such as the Riemann zeta function.


	Contributed by: S. M. Blinder
	Show Initialization Code

Snapshot 1: expansions of Bessel functions of zero order can be represented; higher orders would require coefficients such as

Snapshot 2: the expansion for the inverse tangent can be obtained; for

, this gives the Leibniz-Gregory series

Snapshot 3: for

, this gives the series

Snapshot 4: the simplest geometric series, convergent for

Contributed by: S. M. Blinder

Report an issue »

	Source page:
	Email	Name (optional)
	Occupation (optional)	Organization (optional)
	I use Mathematica often occasionally never
	Country (optional) Remember me
	Note: Please do not include anything you consider confidential or proprietary. Your message and contact information may be shared with the author of any specific Demonstration for which you give feedback, but will not otherwise be published or distributed. Privacy Policy »

RSS

Atom