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Expansions of the Solutions of the General Heun Equation Governed by Two-Term Recurrence Relations for Coefficients
Joint Authors
Ishkhanyan, T. A.
Ishkhanyan, A. M.
Shahverdyan, T. A.
Source
Advances in High Energy Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-04
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We examine the expansions of the solutions of the general Heun equation in terms of the Gauss hypergeometric functions.
We present several expansions using functions, the forms of which differ from those applied before.
In general, the coefficients of the expansions obey three-term recurrence relations.
However, there exist certain choices of the parameters for which the recurrence relations become two-term.
The coefficients of the expansions are then explicitly expressed in terms of the gamma functions.
Discussing the termination of the presented series, we show that the finite-sum solutions of the general Heun equation in terms of generally irreducible hypergeometric functions have a representation through a single generalized hypergeometric function.
Consequently, the power-series expansion of the Heun function for any such case is governed by a two-term recurrence relation.
American Psychological Association (APA)
Ishkhanyan, T. A.& Shahverdyan, T. A.& Ishkhanyan, A. M.. 2018. Expansions of the Solutions of the General Heun Equation Governed by Two-Term Recurrence Relations for Coefficients. Advances in High Energy Physics،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1118079
Modern Language Association (MLA)
Ishkhanyan, T. A.…[et al.]. Expansions of the Solutions of the General Heun Equation Governed by Two-Term Recurrence Relations for Coefficients. Advances in High Energy Physics No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1118079
American Medical Association (AMA)
Ishkhanyan, T. A.& Shahverdyan, T. A.& Ishkhanyan, A. M.. Expansions of the Solutions of the General Heun Equation Governed by Two-Term Recurrence Relations for Coefficients. Advances in High Energy Physics. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1118079
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1118079