# Diagonal series of rational functions

Sławomir Cynk; Piotr Tworzewski

Annales Polonici Mathematici (1991)

- Volume: 55, Issue: 1, page 57-63
- ISSN: 0066-2216

## Access Full Article

top## Abstract

top## How to cite

topSławomir Cynk, and Piotr Tworzewski. "Diagonal series of rational functions." Annales Polonici Mathematici 55.1 (1991): 57-63. <http://eudml.org/doc/262526>.

@article{SławomirCynk1991,

abstract = {Some representations of Nash functions on continua in ℂ as integrals of rational functions of two complex variables are presented. As a simple consequence we get close relations between Nash functions and diagonal series of rational functions.},

author = {Sławomir Cynk, Piotr Tworzewski},

journal = {Annales Polonici Mathematici},

keywords = {integral representations; diagonal series; Nash functions; rational holomorphic functions},

language = {eng},

number = {1},

pages = {57-63},

title = {Diagonal series of rational functions},

url = {http://eudml.org/doc/262526},

volume = {55},

year = {1991},

}

TY - JOUR

AU - Sławomir Cynk

AU - Piotr Tworzewski

TI - Diagonal series of rational functions

JO - Annales Polonici Mathematici

PY - 1991

VL - 55

IS - 1

SP - 57

EP - 63

AB - Some representations of Nash functions on continua in ℂ as integrals of rational functions of two complex variables are presented. As a simple consequence we get close relations between Nash functions and diagonal series of rational functions.

LA - eng

KW - integral representations; diagonal series; Nash functions; rational holomorphic functions

UR - http://eudml.org/doc/262526

ER -

## References

top- [1] L. Bieberbach, Analytic Extensions, Nauka, Moscow 1967 (in Russian).
- [2] P. Deligne, Intégration sur un cycle évanescent, Invent. Math. 76 (1983), 129-143. Zbl0538.13007
- [3] J. Denef and L. Lipshitz, Algebraic power series and diagonals, J. Number Theory 26 (1987), 46-67. Zbl0609.12020
- [4] H. Furstenberg, Algebraic functions over finite fields, J. Algebra 7 (1967), 271-277. Zbl0175.03903
- [5] S. Łojasiewicz, Introduction to Complex Analytic Geometry, PWN, Warszawa 1988 (in Polish). Zbl0773.32007
- [6] K. V. Safonov, On conditions for algebraicity and rationality of the sum of a power series, Mat. Zametki 41 (3) (1987), 325-332 (in Russian). Zbl0622.32009
- [7] P. Tworzewski, Intersections of analytic sets with linear subspaces, Ann. Scuola Norm. Sup. Pisa (4) 17 (2) (1990), 227-271. Zbl0717.32006

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.