Some special solutions of biconfluent and triconfluent Heun equations in elementary functions by extended Nikiforov-Uvarov method

DOI10.1016/S0034-4877(15)00039-7zbMath1339.34004OpenAlexW2233117884MaRDI QIDQ261574

Doğan Demirhan, Fevzi Buyukkilic, Hale Karayer

Publication date: 24 March 2016

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(15)00039-7

zbMATH Keywords

biconfluent Heun equationextended Nikiforov-Uvarov methodtriconfluent Heun equationtwo-electron quantum dot model problem

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems in the complex domain (34M03)

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Cites Work

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• Exact Solutions of the Schrödinger Equation for Two “Deformed” Hyperbolic Molecular Potentials
• Polynomial Solutions of the Schrödinger Equation for the “Deformed” Hyperbolic Potentials by Nikiforov–Uvarov Method
• Practical Quantum Mechanics II
• Solutions of Woods—Saxon Potential with Spin-Orbit and Centrifugal Terms through Nikiforov—Uvarov Method
• Extension of Nikiforov-Uvarov method for the solution of Heun equation
• On a solution of the Schrödinger equation with a hyperbolic double-well potential