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On The genus of meromorphic of functions.

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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

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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

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