confluent Heun equation
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11—13 of 13 matching pages
11: Bibliography S
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Structure of avoided crossings for eigenvalues related to equations of Heun’s class.
J. Phys. A 30 (2), pp. 673–687.
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Some Boundary Value Problems Associated with the Heun Equation.
Ph.D. Thesis, London University.
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Non-linear integral equations for Heun functions.
Proc. Edinburgh Math. Soc. (2) 16, pp. 281–289.
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Elliptic Solitons and Heun’s Equation.
In The Kowalevski Property (Leeds, UK, 2000), V. B. Kuznetsov (Ed.),
CRM Proc. Lecture Notes, Vol. 32, pp. 287–306.
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Perturbations of Kerr-de Sitter black holes and Heun’s equations.
Progr. Theoret. Phys. 100 (3), pp. 491–505.
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12: Errata
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Equations (31.3.10), (31.3.11)
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Equations (13.2.9), (13.2.10)
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Equation (13.2.7)
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Equation (13.2.8)
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Equation (13.18.7)
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31.3.10
31.3.11
In both equations, the second entry in the has been corrected with an extra minus sign.
There were clarifications made in the conditions on the parameter in of those equations.
13.2.7
The equality has been added to the original equation to express an explicit connection between the two standard solutions of Kummer’s equation. Note also that the notation has been changed to .
Reported 2015-02-10 by Adri Olde Daalhuis.
13.2.8
The equality has been added to the original equation to express an explicit connection between the two standard solutions of Kummer’s equation.
Reported 2015-02-10 by Adri Olde Daalhuis.
13.18.7
Originally the left-hand side was given correctly as ; the equation is true also for .
13: Bibliography P
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Sur les équations différentielles du second ordre à points critiques fixès.
C.R. Acad. Sc. Paris 143, pp. 1111–1117.
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Smoothing of the Stokes phenomenon for high-order differential equations.
Proc. Roy. Soc. London Ser. A 436, pp. 165–186.
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A uniform asymptotic expansion for the incomplete gamma function.
J. Comput. Appl. Math. 148 (2), pp. 323–339.
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Exponentially small expansions of the confluent hypergeometric functions.
Appl. Math. Sci. (Ruse) 7 (133-136), pp. 6601–6609.
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A new basis for the representation of the rotation group. Lamé and Heun polynomials.
J. Mathematical Phys. 14 (8), pp. 1130–1139.
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