11043
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
Roots of the Bernoulli Polynomials
The roots of the Bernoulli polynomials follow a simple but beautiful symmetric pattern related to the Szegö curve about the axis
. See [1] for more details.
Contributed by:
Martin Belton
THINGS TO TRY
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
Reference
[1] J. Mangual, "Uniform Convergence Behavior of the Bernoulli Polynomials."
arxiv.org/abs/math/0703452
.
RELATED LINKS
Bernoulli Polynomial
(
Wolfram
MathWorld
)
Szegö Curve
(
Wolfram Demonstrations Project
)
PERMANENT CITATION
Martin Belton
"
Roots of the Bernoulli Polynomials
"
http://demonstrations.wolfram.com/RootsOfTheBernoulliPolynomials/
Wolfram Demonstrations Project
Published: October 23, 2013
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Approximation by Orthogonal Polynomials
Lukas Einkemmer
Bernstein Polynomials and Convex Bézier Sums
Ludwig Weingarten
Euler's Generating Function for the Partition Numbers
George Beck
Using Bernoulli's Formula to Sum Powers of the Integers from 1 to n
Ed Pegg Jr
Marden's Theorem
Bruce Torrence
Orthogonality of Two Functions with Weighted Inner Products
Alain Goriely
Lucas-Gauss Theorem
Bruce Torrence
Simultaneous Approximation of Two Real Numbers by Rationals
Mateja Budin
Visualizing Euler's Constant
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
Approximating the Riemann Zeta Function with Continued Fractions
Andreas Lauschke
Related Topics
Analysis
Number Theory
Polynomials
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+