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This article is cited in 7 scientific papers (total in 7 papers)
On a Remarkable Sequence of Bessel Matrices
V. M. Buchstabera, S. I. Tertychnyib a Steklov Mathematical Institute of Russian Academy of Sciences
b All-Russian Scientific Research Institute of Physical-Technical and Radiotechnical Measurements, Mendeleevo, Moscow region
Abstract:
A sequence of matrices whose elements are modified Bessel functions of the first kind is considered. Such a sequence arises when studying certain ordinary linear homogeneous second-order differential equations belonging to the family of double confluent Heun equations. The conjecture that these matrices are nonsingular is discussed together with its application to the problem of the existence of solutions analytic at the singular point of the equation referred to above.
Keywords:
modified Bessel function of the first kind, double confluent Heun equation, Bessel matrix, Josephson junction, Laurent series, Hessenberg matrix.
Received: 01.06.2015
Citation:
V. M. Buchstaber, S. I. Tertychnyi, “On a Remarkable Sequence of Bessel Matrices”, Mat. Zametki, 98:5 (2015), 651–663; Math. Notes, 98:5 (2015), 714–724
Linking options:
https://www.mathnet.ru/eng/mzm10801https://doi.org/10.4213/mzm10801 https://www.mathnet.ru/eng/mzm/v98/i5/p651
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Abstract page: | 476 | Full-text PDF : | 83 | References: | 49 | First page: | 33 |
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