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Zeros of meromorphic functions of the form ∑ncn(z−tn)2. / Baranov, A.; Shemyakov, V.

в: Australian Journal of Mathematical Analysis and Applications, Том 538, № 2, 01.10.2024.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Baranov, A & Shemyakov, V 2024, 'Zeros of meromorphic functions of the form ∑ncn(z−tn)2', Australian Journal of Mathematical Analysis and Applications, Том. 538, № 2. https://doi.org/10.1016/j.jmaa.2024.128406

APA

Baranov, A., & Shemyakov, V. (2024). Zeros of meromorphic functions of the form ∑ncn(z−tn)2. Australian Journal of Mathematical Analysis and Applications, 538(2). https://doi.org/10.1016/j.jmaa.2024.128406

Vancouver

Baranov A, Shemyakov V. Zeros of meromorphic functions of the form ∑ncn(z−tn)2. Australian Journal of Mathematical Analysis and Applications. 2024 Окт. 1;538(2). https://doi.org/10.1016/j.jmaa.2024.128406

Author

Baranov, A. ; Shemyakov, V. / Zeros of meromorphic functions of the form ∑ncn(z−tn)2. в: Australian Journal of Mathematical Analysis and Applications. 2024 ; Том 538, № 2.

BibTeX

@article{cd48f86fc5954b8cae9b290ae6f65911,
title = "Zeros of meromorphic functions of the form ∑ncn(z−tn)2",
abstract = "We study zeros distribution for meromorphic functions of the form [Formula presented], where [Formula presented]. We prove an analog of a well-known theorem of Keldysh and discuss a relation between zero-free functions of this form and second order differential equations with polynomial coefficients. {\textcopyright} 2024 Elsevier Inc.",
keywords = "Cauchy kernel, Meromorphic function",
author = "A. Baranov and V. Shemyakov",
note = "Export Date: 19 October 2024 Адрес для корреспонденции: Baranov, A.; Department of Mathematics and Mechanics, Russian Federation; эл. почта: anton.d.baranov@gmail.com Сведения о финансировании: Foundation for the Advancement of Theoretical Physics and Mathematics Сведения о финансировании: Ministry of Education and Science of the Russian Federation, Minobrnauka, 075-15-2021-602 Сведения о финансировании: Russian Science Foundation, RSF, 19-71-30002 Текст о финансировании 1: The results of Sections 2 and 3 were obtained with the support of Ministry of Science and Higher Education of the Russian Federation (agreement No 075-15-2021-602) and of Theoretical Physics and Mathematics Advancement Foundation \u201CBASIS\u201D. The results of Sections 4 and 5 were obtained with the support of the Russian Science Foundation grant 19-71-30002.",
year = "2024",
month = oct,
day = "1",
doi = "10.1016/j.jmaa.2024.128406",
language = "Английский",
volume = "538",
journal = "Australian Journal of Mathematical Analysis and Applications",
issn = "1449-5910",
publisher = "Australian Internet Publishing",
number = "2",

}

RIS

TY - JOUR

T1 - Zeros of meromorphic functions of the form ∑ncn(z−tn)2

AU - Baranov, A.

AU - Shemyakov, V.

N1 - Export Date: 19 October 2024 Адрес для корреспонденции: Baranov, A.; Department of Mathematics and Mechanics, Russian Federation; эл. почта: anton.d.baranov@gmail.com Сведения о финансировании: Foundation for the Advancement of Theoretical Physics and Mathematics Сведения о финансировании: Ministry of Education and Science of the Russian Federation, Minobrnauka, 075-15-2021-602 Сведения о финансировании: Russian Science Foundation, RSF, 19-71-30002 Текст о финансировании 1: The results of Sections 2 and 3 were obtained with the support of Ministry of Science and Higher Education of the Russian Federation (agreement No 075-15-2021-602) and of Theoretical Physics and Mathematics Advancement Foundation \u201CBASIS\u201D. The results of Sections 4 and 5 were obtained with the support of the Russian Science Foundation grant 19-71-30002.

PY - 2024/10/1

Y1 - 2024/10/1

N2 - We study zeros distribution for meromorphic functions of the form [Formula presented], where [Formula presented]. We prove an analog of a well-known theorem of Keldysh and discuss a relation between zero-free functions of this form and second order differential equations with polynomial coefficients. © 2024 Elsevier Inc.

AB - We study zeros distribution for meromorphic functions of the form [Formula presented], where [Formula presented]. We prove an analog of a well-known theorem of Keldysh and discuss a relation between zero-free functions of this form and second order differential equations with polynomial coefficients. © 2024 Elsevier Inc.

KW - Cauchy kernel

KW - Meromorphic function

UR - https://www.mendeley.com/catalogue/064a09c0-86bf-399e-b68a-cc7a29039fec/

U2 - 10.1016/j.jmaa.2024.128406

DO - 10.1016/j.jmaa.2024.128406

M3 - статья

VL - 538

JO - Australian Journal of Mathematical Analysis and Applications

JF - Australian Journal of Mathematical Analysis and Applications

SN - 1449-5910

IS - 2

ER -

ID: 126354722