A note on an analogue of Hadamard’s theorem for determining the radii of m-meromorphy

Nattapong Bosuwan

doi:10.2306/scienceasia1513-1874.2024.099

A note on an analogue of Hadamard’s theorem for determining the radii of m-meromorphy

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

Abstract

In this paper, we prove an extension of Hadamard’s classical theorem for determining the radius of m-meromorphy of an analytic function in terms of its Taylor coefficients. Our extension is expressed in terms of Fourier coefficients with respect to an orthonormal polynomial system on the unit circle.

Original language	English
Article number	2024099
Journal	ScienceAsia
Volume	50
Issue number	6
DOIs	https://doi.org/10.2306/scienceasia1513-1874.2024.099
Publication status	Published - Dec 2024
Externally published	Yes

Keywords

Cauchy-Hadamard formula
holomorphic function
meromorphic function
pole
radius of meromorphy

Access to Document

10.2306/scienceasia1513-1874.2024.099

Cite this

@article{0c445ac7f8304081a1809770edbf2818,

title = "A note on an analogue of Hadamard{\textquoteright}s theorem for determining the radii of m-meromorphy",

abstract = "In this paper, we prove an extension of Hadamard{\textquoteright}s classical theorem for determining the radius of m-meromorphy of an analytic function in terms of its Taylor coefficients. Our extension is expressed in terms of Fourier coefficients with respect to an orthonormal polynomial system on the unit circle.",

keywords = "Cauchy-Hadamard formula, holomorphic function, meromorphic function, pole, radius of meromorphy",

author = "Nattapong Bosuwan",

year = "2024",

month = dec,

doi = "10.2306/scienceasia1513-1874.2024.099",

language = "English",

volume = "50",

journal = "ScienceAsia",

issn = "1513-1874",

publisher = "Science Society of Thailand under Royal Patronage",

number = "6",

}

TY - JOUR

T1 - A note on an analogue of Hadamard’s theorem for determining the radii of m-meromorphy

AU - Bosuwan, Nattapong

PY - 2024/12

Y1 - 2024/12

N2 - In this paper, we prove an extension of Hadamard’s classical theorem for determining the radius of m-meromorphy of an analytic function in terms of its Taylor coefficients. Our extension is expressed in terms of Fourier coefficients with respect to an orthonormal polynomial system on the unit circle.

AB - In this paper, we prove an extension of Hadamard’s classical theorem for determining the radius of m-meromorphy of an analytic function in terms of its Taylor coefficients. Our extension is expressed in terms of Fourier coefficients with respect to an orthonormal polynomial system on the unit circle.

KW - Cauchy-Hadamard formula

KW - holomorphic function

KW - meromorphic function

KW - pole

KW - radius of meromorphy

UR - https://www.scopus.com/pages/publications/85213980358

U2 - 10.2306/scienceasia1513-1874.2024.099

DO - 10.2306/scienceasia1513-1874.2024.099

M3 - Article

AN - SCOPUS:85213980358

SN - 1513-1874

VL - 50

JO - ScienceAsia

JF - ScienceAsia

IS - 6

M1 - 2024099

ER -

A note on an analogue of Hadamard’s theorem for determining the radii of m-meromorphy

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this