Euler's Series Transformation
Accelerates the rate of Convergence for an Alternating Series
 | (1) |
Even and 
the Forward Difference operator | (2) |
are Binomial Coefficients. The Positive terms in the series can beconverted to an Alternating Series using | (3) |
 | (4) |
References
Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 16, 1972.
- Real Quadratic Field
- Rearrangement Theorem
- Reciprocal
- Reciprocal Difference
- Reciprocal Polyhedron
- Reciprocating Sphere
- Reciprocation
- Reciprocity Theorem
- Rectangle
- Rectangle Function
- Rectangle Squaring
- Rectangular Coordinates
- Rectangular Distribution
- Rectangular Hyperbola
- Rectangular Parallelepiped
- Rectangular Projection
- Rectifiable Current
- Rectifiable Set
- Rectification
- Rectifying Latitude
- Rectifying Plane
- Recurrence Relation
- Recurrence Sequence
- Recurring Digital Invariant
- Recursion