### Impacto

### Downloads

Downloads per month over past year

Muñoz, Vicente and Marco Perez, Ricardo
(2015)
*On The genus of meromorphic of functions.*
Proceedings of the American Mathematical Society, 134
(1).
pp. 341-351.
ISSN 1088-6826

Preview |
PDF
180kB | |

PDF
Restringido a Repository staff only 198kB |

Official URL: http://www.ams.org/journals/proc/2015-143-01/S0002-9939-2014-12370-7/

## Abstract

We define the class of Left Located Divisor (LLD) meromorphic functions, their vertical order m(0)(f) and their convergence exponent d(f). When m0(f) <= d(f) we prove that their Weierstrass genus is minimal. This explains the phenomena that many classical functions have minimal Weierstrass genus, for example, Dirichlet series, the Gamma-function, and trigonometric functions.

Item Type: | Article |
---|---|

Uncontrolled Keywords: | Dirichlet series; Poisson-Newton formula; Hadamard factorization |

Subjects: | Sciences > Mathematics > Functions |

ID Code: | 30125 |

Deposited On: | 18 May 2015 08:32 |

Last Modified: | 12 Dec 2018 15:12 |

### Origin of downloads

Repository Staff Only: item control page