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

Fizik Mühendisliği Bölümü

Istanbul Technical University

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › bilirkişi

3 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Ana bilgisayar yayını başlığı	Proceedings of the International Conference Days on Diffraction 2015, DD 2015
Editörler	L.I. Goray, A.P. Kiselev, A.S. Kirpichnikova, O.V. Motygin, P.A. Belov, A.Ya. Kazakov
Yayınlayan	Institute of Electrical and Electronics Engineers Inc.
Sayfalar	27-32
Sayfa sayısı	6
ISBN (Elektronik)	9781467386357
DOI'lar	https://doi.org/10.1109/DD.2015.7354826
Yayın durumu	Yayınlandı - 11 Ara 2015
Etkinlik	International Conference Days on Diffraction, DD 2015 - St. Petersburg, Russian Federation Süre: 25 May 2015 → 29 May 2015

Yayın serisi

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

???event.eventtypes.event.conference???

???event.eventtypes.event.conference???	International Conference Days on Diffraction, DD 2015
Ülke/Bölge	Russian Federation
Şehir	St. Petersburg
Periyot	25/05/15 → 29/05/15

Bibliyografik not

Publisher Copyright:
© 2015 IEEE.

Belgeye Erişim

10.1109/DD.2015.7354826

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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). Makale 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. editör / 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).

@inproceedings{73e279a8c9d546db884745728fef0709,

title = "Physical problems admitting Heun-to-hypergeometric reduction",

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.",

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

author = "Pelin Aydiner and Tolga Birkandan",

note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; International Conference Days on Diffraction, DD 2015 ; Conference date: 25-05-2015 Through 29-05-2015",

year = "2015",

month = dec,

day = "11",

doi = "10.1109/DD.2015.7354826",

language = "English",

series = "Proceedings of the International Conference Days on Diffraction 2015, DD 2015",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "27--32",

editor = "L.I. Goray and A.P. Kiselev and A.S. Kirpichnikova and O.V. Motygin and P.A. Belov and A.Ya. Kazakov",

booktitle = "Proceedings of the International Conference Days on Diffraction 2015, DD 2015",

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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).

Araştırma sonucu: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › bilirkişi

TY - GEN

T1 - Physical problems admitting Heun-to-hypergeometric reduction

AU - Aydiner, Pelin

AU - Birkandan, Tolga

PY - 2015/12/11

Y1 - 2015/12/11

N2 - 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.

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

KW - Diffraction

KW - Mathematical analysis

KW - Quantization (signal)

KW - Stationary state

UR - https://www.scopus.com/pages/publications/84961829803

U2 - 10.1109/DD.2015.7354826

DO - 10.1109/DD.2015.7354826

M3 - Conference contribution

AN - SCOPUS:84961829803

T3 - Proceedings of the International Conference Days on Diffraction 2015, DD 2015

SP - 27

EP - 32

BT - Proceedings of the International Conference Days on Diffraction 2015, DD 2015

A2 - Goray, L.I.

A2 - Kiselev, A.P.

A2 - Kirpichnikova, A.S.

A2 - Motygin, O.V.

A2 - Belov, P.A.

A2 - Kazakov, A.Ya.

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - International Conference Days on Diffraction, DD 2015

Y2 - 25 May 2015 through 29 May 2015

ER -

Aydiner P, Birkandan T. Physical problems admitting Heun-to-hypergeometric reduction. In Goray LI, Kiselev AP, Kirpichnikova AS, Motygin OV, Belov PA, Kazakov AY, editörler, 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

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