### Abstract

Original language | English |
---|---|

Title of host publication | Proc. SYNASC '11 |

Publisher | IEEE |

Number of pages | 5 |

Publication status | Published - 2012 |

### Fingerprint

### Keywords

- differential equation
- computer algebra
- branch cut

### Cite this

*Proc. SYNASC '11*IEEE.

**On Kahan's rules for determining branch cuts.** / Chyzak, Frédéric; Davenport, James H; Koutschan, Christoph; Salvy, Bruno.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Proc. SYNASC '11.*IEEE.

}

TY - CHAP

T1 - On Kahan's rules for determining branch cuts

AU - Chyzak, Frédéric

AU - Davenport, James H

AU - Koutschan, Christoph

AU - Salvy, Bruno

N1 - SYNASC 2011. 13th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing. September 26-29, 2011. Timisoara, Romania

PY - 2012

Y1 - 2012

N2 - In computer algebra there are different ways of approaching the mathematical concept of functions, one of which is by defining them as solutions of differential equations. We compare different such approaches and discuss the occurring problems. The main focus is on the question of determining possible branch cuts. We explore the extent to which the treatment of branch cuts can be rendered (more) algorithmic, by adapting Kahan's rules to the differential equation setting.

AB - In computer algebra there are different ways of approaching the mathematical concept of functions, one of which is by defining them as solutions of differential equations. We compare different such approaches and discuss the occurring problems. The main focus is on the question of determining possible branch cuts. We explore the extent to which the treatment of branch cuts can be rendered (more) algorithmic, by adapting Kahan's rules to the differential equation setting.

KW - differential equation

KW - computer algebra

KW - branch cut

M3 - Chapter

BT - Proc. SYNASC '11

PB - IEEE

ER -