#
Rational Poly-Exponential Functions - Examples.

## Worksheets

Below are maple worksheets, in the ".mws" format.
These worksheets use and explain the code and functionality of the
maple library to perform the act of multisectioning.
- Poly-exponential functions.
- Worksheet.
Converting poly-exponential functions to exponential generating functions.
- Worksheet.
Converting exponential generating functions to poly-exponential functions.
- Worksheet.
Looking at recurrence polynomials and recurrence functions.
- Worksheet.
Multisectioning the Lucas numbers.
- Worksheet.
Looking at the different measures of size give for a few examples.
- Worksheet.
An example where the recurrence polynomial is different depending
on the value multisectioned at.
- Worksheet.
An example of multisectioing the Chebyshev T polynomials.
- Worksheet.
Multisectioning a poly-exponential function by using the recurrence
polynomials.
- Worksheet.
Multisectioning a poly-exponential function by using compression
techniques
- Worksheet.
Multisectioning a poly-exponential function making sure the we
do the calculations over the integers.
- Worksheet.
Multisectioning a poly-exponential function using linear
algebra.
- Worksheet.
Multisectioning a poly-exponential function by factoring
out polynomials.
- Worksheet.
Multisectioning a poly-exponential function by using
symbolic differentiation and linear algebra.
- Worksheet.
Multisectioning a poly-exponential function by using
resultants.

- Rational Poly-exponential functions.
- Worksheet.
Determining the top and bottom recurrence of the Bernoulli numbers,
when multisectioned, using a naive method.
- Worksheet.
Determining the top and bottom recurrence of the Bernoulli polynomials,
when multisectioned, using a naive method.
- Worksheet.
Multisectioning a rational poly-exponential function by using
resultants and recurrence polynomials.
- Worksheet.
Multisectioning a rational poly-exponential function by using
fast polynomial multiplication, and linear algebra (method 1)
- Worksheet.
Multisectioning a rational poly-exponential function by using
fast polynomial multiplication, and linear algebra (method 2)
- Worksheet.
Determining the top recurrence for a multisectioning a rational
poly-exponential function by using information about the Taylor
series expansion, and linear algebra.
- Worksheet.
Determining the top and bottom recurrence for a multisectioning a rational
poly-exponential function by using factoring out polynomials.
- Worksheet.
Multisectioning a rational poly-exponential function by taking
advantage of symmetries.

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###### This file was last modified *April 13, 1999 *.