Results 41 to 50 of about 7,066 (206)
Semi-commuting and commuting operators for the Heun family
, 2017 We derive the most general families of differential operators of first and second degree semi-commuting with the differential operators of the Heun class. Among these families we classify all those families commuting with the Heun class.
Batic, Davide +2 more
core +1 more source
A general approach to the linear stability of viscoelastic shear‐flows
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.Abstract The present work provides an in‐depth analysis of the linear stability theory of viscoelastic shear‐flows, based upon a constitutive equation of the fading memory type. The particular model considered herein was introduced by Kenneth Walters through the integration of classical rate‐type fluids in a convected frame (Walters 1962).
Johannes Conrad, Martin Oberlack
wiley +1 more source
Holographic Euclidean thermal correlator
Journal of High Energy PhysicsIn this paper, we compute holographic Euclidean thermal correlators of the stress tensor and U(1) current from the AdS planar black hole. To this end, we set up perturbative boundary value problems for Einstein’s gravity and Maxwell theory in the spirit ...
Song He, Yi Li
doaj +1 more source
An Orthogonal Polynomial Solution to the Confluent-Type Heun’s Differential Equation
MathematicsIn this work, we present both analytical and numerical solutions to a seven-parameter confluent Heun-type differential equation. This second-order linear differential equation features three singularities: two regular singularities and one irregular ...
Saiful R. Mondal, Varun Kumar
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Extension of Nikiforov-Uvarov Method for the Solution of Heun Equation
, 2015 We report an alternative method to solve second order differential equations which have at most four singular points. This method is developed by changing the degrees of the polynomials in the basic equation of Nikiforov-Uvarov (NU) method.
D. Demirhan +6 more
core +1 more source
Signal Processing, Orthogonal Polynomials, and Heun Equations [PDF]
, 2020 A survey of recents advances in the theory of Heun operators is offered. Some of the topics covered include: quadratic algebras and orthogonal polynomials, differential and difference Heun operators associated to Jacobi and Hahn polynomials, connections with time and band limiting problems in signal processing.
Bergeron, Geoffroy +2 more
openaire +2 more sources
Synthetic Geology: Structural Geology Meets Deep Learning
Journal of Geophysical Research: Machine Learning and Computation, Volume 3, Issue 1, February 2026.Abstract Reconstructing the structural geology and mineral composition of the first few kilometers of the Earth's subsurface from sparse or indirect surface observations remains a long‐standing challenge with critical applications in mineral exploration, geohazard assessment, and geotechnical engineering.
Simon Ghyselincks +5 more
wiley +1 more source
On complex oscillation theory, quasi-exact solvability and Fredholm Integral Equations [PDF]
, 2016 Biconfluent Heun equation (BHE) is a confluent case of the general Heun equation which has one more regular singular points than the Gauss hypergeometric equation on the Riemann sphere $\hat{\mathbb{C}}$.
Chiang, Yik-Man, Yu, Guo-Fu
core
The Heun equation and the Calogero-Moser-Sutherland system IV: the Hermite-Krichever Ansatz
, 2004 We develop a theory for the Hermite-Krichever Ansatz on the Heun equation.
Belokolos +12 more
core +2 more sources
, 2020 We transform the Schr\"odinger wave equation to a nine-parameter Heun-type differential equation. Using our solutions of the latter in [J. Math. Phys.
Alhaidari, A. D.
core +1 more source