The Self-Adjoint Fractional Heun Operator and Its Spectral Properties
MathematicsThis paper introduces a rigorously defined fractional Heun operator constructed through a symmetric composition of left and right Riemann–Liouville fractional derivatives.
Muath Awadalla
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Integral representation of a solution of Heun's general equation
Electronic Journal of Differential Equations, 2007 We establish an integral representation for the Frobenius solution with an exponent zero at $z=0$ of the general Heun equation. First we present an extension of Mellin's lemma which provides a powerful method that takes into account differential ...
Jomo Batola, Francois Batola
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European Physical Journal C: Particles and FieldsWe investigate the stability of test scalar fields in the region inside the extremal dyonic Kerr–Sen black hole (DKSBH) horizon, where closed timelike curves exist.
David Senjaya +2 more
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New solutions to the confluent Heun equation
Le Matematiche, 1998 Summary: New compact triple series solutions to the confluent Heun equation (CHE) are obtained by appropriate applications of the Laplace transform and its inverse to a suitably constructed system of soluble differential equations. The computer-algebra package MAPLE V is used to tackle an auxiliary system of nonlinear algebraic equations. This study is
openaire +2 more sources
Black Hole Quasinormal Modes and Seiberg-Witten Theory. [PDF]
Ann Henri Poincare, 2022 Aminov G, Grassi A, Hatsuda Y.
europepmc +1 more source
Quasi-exact solutions for guided modes in two-dimensional materials with tilted Dirac cones. [PDF]
Sci Rep, 2022 Ng RA, Wild A, Portnoi ME, Hartmann RR.
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The Heun equation and the Calogero-Moser-Sutherland system II: Perturbation and algebraic solution
Electronic Journal of Differential Equations, 2004 We apply a method of perturbation for the $BC_1$ Inozemtsev model from the trigonometric model and show the holomorphy of perturbation. Consequently, the convergence of eigenvalues and eigenfuncions which are expressed as formal power series is proved ...
Kouichi Takemura
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Quantum Information Entropy for a Hyperbolic Double Well Potential in the Fractional Schrödinger Equation. [PDF]
Entropy (Basel), 2023 Santana-Carrillo R +3 more
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On the Eigenvalues of the Fermionic Angular Eigenfunctions in the Kerr Metric. [PDF]
Entropy (Basel), 2022 Batic D, Karim SHA, Nowakowski M.
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Numerical Integration of Stochastic Differential Equations: The Heun Algorithm Revisited and the Itô-Stratonovich Calculus. [PDF]
Entropy (Basel)Mannella R.
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