Zeros of the Hankel function of real order out of the principal Riemann sheet

Andrés Cruz; Javier Esparza; Javier Sesma

doi:10.1016/0377-0427(91)90109-W

Zeros of the Hankel function of real order out of the principal Riemann sheet

Andrés Cruz, Javier Esparza, Javier Sesma

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Zeros of the Hankel function of real order follow, as the order varies continuously, trajectories across different Riemann sheets of the complex plane. A discussion of the main features of these trajectories is presented.

Original language	English
Pages (from-to)	89-99
Number of pages	11
Journal	Journal of Computational and Applied Mathematics
Volume	37
Issue number	1-3
DOIs	https://doi.org/10.1016/0377-0427(91)90109-W
State	Published - 18 Nov 1991
Externally published	Yes

Keywords

Hankel functions
zeros

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10.1016/0377-0427(91)90109-W

Cite this

@article{e38d449c06d6476489ab4f5808b53575,

title = "Zeros of the Hankel function of real order out of the principal Riemann sheet",

abstract = "Zeros of the Hankel function of real order follow, as the order varies continuously, trajectories across different Riemann sheets of the complex plane. A discussion of the main features of these trajectories is presented.",

keywords = "Hankel functions, zeros",

author = "Andr{\'e}s Cruz and Javier Esparza and Javier Sesma",

note = "Funding Information: * This work was financially supported by the Cornision Interministerial de Ciencia y Tecnologla.",

year = "1991",

month = nov,

day = "18",

doi = "10.1016/0377-0427(91)90109-W",

language = "English",

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T1 - Zeros of the Hankel function of real order out of the principal Riemann sheet

AU - Cruz, Andrés

AU - Esparza, Javier

AU - Sesma, Javier

N1 - Funding Information: * This work was financially supported by the Cornision Interministerial de Ciencia y Tecnologla.

PY - 1991/11/18

Y1 - 1991/11/18

N2 - Zeros of the Hankel function of real order follow, as the order varies continuously, trajectories across different Riemann sheets of the complex plane. A discussion of the main features of these trajectories is presented.

AB - Zeros of the Hankel function of real order follow, as the order varies continuously, trajectories across different Riemann sheets of the complex plane. A discussion of the main features of these trajectories is presented.

KW - Hankel functions

KW - zeros

UR - http://www.scopus.com/inward/record.url?scp=0344076510&partnerID=8YFLogxK

U2 - 10.1016/0377-0427(91)90109-W

DO - 10.1016/0377-0427(91)90109-W

M3 - Article

AN - SCOPUS:0344076510

SN - 0377-0427

VL - 37

SP - 89

EP - 99

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1-3

ER -

Zeros of the Hankel function of real order out of the principal Riemann sheet

Abstract

Keywords

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