Physical problems admitting Heun-to-hypergeometric reduction

Pelin Aydiner; Tolga Birkandan

doi:10.1109/DD.2015.7354826

Physical problems admitting Heun-to-hypergeometric reduction

Pelin Aydiner, Tolga Birkandan

Department of Physics Engineering

Istanbul Technical University

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

3 Citations (Scopus)

Abstract

The Heun's equation and its confluent forms emerge in many physical applications. However, the literature related to the mathematical analysis of the Heun's equation is far from complete in comparison with the hypergeometric equation which is known in detail. As a result, studying the reduction methods from Heun to hypergeometric equation is substantial for understanding the physical system better. In this work, Maier's Heun-to-hypergeometric reduction cases are studied for several physical problems.

Original language	English
Title of host publication	Proceedings of the International Conference Days on Diffraction 2015, DD 2015
Editors	L.I. Goray, A.P. Kiselev, A.S. Kirpichnikova, O.V. Motygin, P.A. Belov, A.Ya. Kazakov
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	27-32
Number of pages	6
ISBN (Electronic)	9781467386357
DOIs	https://doi.org/10.1109/DD.2015.7354826
Publication status	Published - 11 Dec 2015
Event	International Conference Days on Diffraction, DD 2015 - St. Petersburg, Russian Federation Duration: 25 May 2015 → 29 May 2015

Publication series

Name	Proceedings of the International Conference Days on Diffraction 2015, DD 2015

Conference

Conference	International Conference Days on Diffraction, DD 2015
Country/Territory	Russian Federation
City	St. Petersburg
Period	25/05/15 → 29/05/15

Bibliographical note

Publisher Copyright:
© 2015 IEEE.

Keywords

Density functional theory
Diffraction
Mathematical analysis
Quantization (signal)
Stationary state

Access to Document

10.1109/DD.2015.7354826

Cite this

Aydiner, P., & Birkandan, T. (2015). Physical problems admitting Heun-to-hypergeometric reduction. In L. I. Goray, A. P. Kiselev, A. S. Kirpichnikova, O. V. Motygin, P. A. Belov, & A. Y. Kazakov (Eds.), Proceedings of the International Conference Days on Diffraction 2015, DD 2015 (pp. 27-32). Article 7354826 (Proceedings of the International Conference Days on Diffraction 2015, DD 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/DD.2015.7354826

Aydiner, Pelin ; Birkandan, Tolga. / Physical problems admitting Heun-to-hypergeometric reduction. Proceedings of the International Conference Days on Diffraction 2015, DD 2015. editor / L.I. Goray ; A.P. Kiselev ; A.S. Kirpichnikova ; O.V. Motygin ; P.A. Belov ; A.Ya. Kazakov. Institute of Electrical and Electronics Engineers Inc., 2015. pp. 27-32 (Proceedings of the International Conference Days on Diffraction 2015, DD 2015).

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keywords = "Density functional theory, Diffraction, Mathematical analysis, Quantization (signal), Stationary state",

author = "Pelin Aydiner and Tolga Birkandan",

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Aydiner, P & Birkandan, T 2015, Physical problems admitting Heun-to-hypergeometric reduction. in LI Goray, AP Kiselev, AS Kirpichnikova, OV Motygin, PA Belov & AY Kazakov (eds), Proceedings of the International Conference Days on Diffraction 2015, DD 2015., 7354826, Proceedings of the International Conference Days on Diffraction 2015, DD 2015, Institute of Electrical and Electronics Engineers Inc., pp. 27-32, International Conference Days on Diffraction, DD 2015, St. Petersburg, Russian Federation, 25/05/15. https://doi.org/10.1109/DD.2015.7354826

Physical problems admitting Heun-to-hypergeometric reduction. / Aydiner, Pelin; Birkandan, Tolga.
Proceedings of the International Conference Days on Diffraction 2015, DD 2015. ed. / L.I. Goray; A.P. Kiselev; A.S. Kirpichnikova; O.V. Motygin; P.A. Belov; A.Ya. Kazakov. Institute of Electrical and Electronics Engineers Inc., 2015. p. 27-32 7354826 (Proceedings of the International Conference Days on Diffraction 2015, DD 2015).

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

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AB - The Heun's equation and its confluent forms emerge in many physical applications. However, the literature related to the mathematical analysis of the Heun's equation is far from complete in comparison with the hypergeometric equation which is known in detail. As a result, studying the reduction methods from Heun to hypergeometric equation is substantial for understanding the physical system better. In this work, Maier's Heun-to-hypergeometric reduction cases are studied for several physical problems.

KW - Density functional theory

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KW - Quantization (signal)

KW - Stationary state

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Aydiner P, Birkandan T. Physical problems admitting Heun-to-hypergeometric reduction. In Goray LI, Kiselev AP, Kirpichnikova AS, Motygin OV, Belov PA, Kazakov AY, editors, Proceedings of the International Conference Days on Diffraction 2015, DD 2015. Institute of Electrical and Electronics Engineers Inc. 2015. p. 27-32. 7354826. (Proceedings of the International Conference Days on Diffraction 2015, DD 2015). doi: 10.1109/DD.2015.7354826

Physical problems admitting Heun-to-hypergeometric reduction

Abstract

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Keywords

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