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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 202, Number 1, Pages 3–13
DOI: https://doi.org/10.4213/tmf9769 (Mi tmf9769) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Generalized hypergeometric solutions of the Heun equation

A. M. Ishkhanyanab

a Russian-Armenian University, Yerevan, Armenia
b Institute for Physical Research NAS of Armenia, Ashtarak, Armenia
Full-text PDF (411 kB) Citations (12)
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DOI: https://doi.org/10.4213/tmf9769
Abstract: We present infinitely many solutions of the general Heun equation in terms of generalized hypergeometric functions. Each solution assumes that two restrictions are imposed on the involved parameters: a characteristic exponent of one of the singularities must be a nonzero integer, and the accessory parameter must satisfy a polynomial equation.
Keywords: general Heun equation, generalized hypergeometric function, recurrence relation.
Funding agency Grant number
State Committee on Science of the Ministry of Education and Science of the Republic of Armenia 18RF-139
18T-1C276
This research was supported by the Armenian State Committee of Science (SCS Grant Nos. 18RF-139 and 18T-1C276) and the Russian - Armenian (Slavonic) University at the expense of the Ministry of Education and Science of the Russian Federation.
Received: 24.06.2019
Revised: 05.09.2019
English version:
Theoretical and Mathematical Physics, 2020, Volume 202, Issue 1, Pages 1–10
DOI: https://doi.org/10.1134/S0040577920010018
Bibliographic databases:
Document Type: Article
PACS: 02.30.Gp; 02.30.Hq; 02.30.Mv
MSC: 33E30; 34B30; 30Bxx
Language: Russian
Citation: A. M. Ishkhanyan, “Generalized hypergeometric solutions of the Heun equation”, TMF, 202:1 (2020), 3–13; Theoret. and Math. Phys., 202:1 (2020), 1–10
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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