Abstract
One-dimensional Jacobian elliptic quasi-exactly solvable second-order differential equations are obtained by introducing the generalized third master functions. It is shown that the solutions of these differential equations are generating functions for a new set of polynomials in terms of energy with factorization property. The roots of these polynomials are the same as the eigenvalues of the differential equations. Some one-dimensional elliptic quasi-exactly quantum solvable models are obtained from these differential equations.
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Fasihi, M.A., Jafarizadeh, M.A. & Rezaei, M. An approach to one-dimensional elliptic quasi-exactly solvable models. Pramana - J Phys 70, 575–585 (2008). https://doi.org/10.1007/s12043-008-0020-5
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DOI: https://doi.org/10.1007/s12043-008-0020-5