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On minimal meromorphic solutions of difference equations. / Fedotov, Alexander.

Days on Diffraction 2016: Proceedings . Institute of Electrical and Electronics Engineers Inc., 2016. p. 137-139.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Fedotov, A 2016, On minimal meromorphic solutions of difference equations. in Days on Diffraction 2016: Proceedings . Institute of Electrical and Electronics Engineers Inc., pp. 137-139, 2016 International Conference Days on Diffraction, DD 2016, St. Petersburg, Russian Federation, 27/06/16. https://doi.org/10.1109/DD.2016.7756829

APA

Fedotov, A. (2016). On minimal meromorphic solutions of difference equations. In Days on Diffraction 2016: Proceedings (pp. 137-139). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/DD.2016.7756829

Vancouver

Fedotov A. On minimal meromorphic solutions of difference equations. In Days on Diffraction 2016: Proceedings . Institute of Electrical and Electronics Engineers Inc. 2016. p. 137-139 https://doi.org/10.1109/DD.2016.7756829

Author

Fedotov, Alexander. / On minimal meromorphic solutions of difference equations. Days on Diffraction 2016: Proceedings . Institute of Electrical and Electronics Engineers Inc., 2016. pp. 137-139

BibTeX

@inproceedings{2180c225af6d4d35b889e2b577762eab,
title = "On minimal meromorphic solutions of difference equations",
abstract = "We consider difference equations with meromorphic coefficients in the complex plane. Assuming that the equations' coefficients are 1-periodic, we describe the minimal meromorphic solutions, i.e., the solutions that, under certain conditions on their poles, have the minimal possible growth at ±i∞. The notion of minimal meromorphic solution naturally arises in mathematical physics, for example, in the framework of the Sommerfeld-Malyuzhinets method and when studying difference equations of solid state physics.",
author = "Alexander Fedotov",
year = "2016",
doi = "10.1109/DD.2016.7756829",
language = "English",
isbn = "9781509058013",
pages = "137--139",
booktitle = "Days on Diffraction 2016",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",
note = "2016 International Conference Days on Diffraction, DD 2016 ; Conference date: 27-06-2016 Through 01-07-2016",

}

RIS

TY - GEN

T1 - On minimal meromorphic solutions of difference equations

AU - Fedotov, Alexander

PY - 2016

Y1 - 2016

N2 - We consider difference equations with meromorphic coefficients in the complex plane. Assuming that the equations' coefficients are 1-periodic, we describe the minimal meromorphic solutions, i.e., the solutions that, under certain conditions on their poles, have the minimal possible growth at ±i∞. The notion of minimal meromorphic solution naturally arises in mathematical physics, for example, in the framework of the Sommerfeld-Malyuzhinets method and when studying difference equations of solid state physics.

AB - We consider difference equations with meromorphic coefficients in the complex plane. Assuming that the equations' coefficients are 1-periodic, we describe the minimal meromorphic solutions, i.e., the solutions that, under certain conditions on their poles, have the minimal possible growth at ±i∞. The notion of minimal meromorphic solution naturally arises in mathematical physics, for example, in the framework of the Sommerfeld-Malyuzhinets method and when studying difference equations of solid state physics.

UR - http://www.pdmi.ras.ru/~dd/download/PROC16.pdf

U2 - 10.1109/DD.2016.7756829

DO - 10.1109/DD.2016.7756829

M3 - Conference contribution

SN - 9781509058013

SP - 137

EP - 139

BT - Days on Diffraction 2016

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2016 International Conference Days on Diffraction, DD 2016

Y2 - 27 June 2016 through 1 July 2016

ER -

ID: 7596485