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Polynomial solutions of certain differential equations arising in physics

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Publication:2857529
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DOI10.1002/mma.2711zbMath1284.34002arXiv1109.5535OpenAlexW2009721412MaRDI QIDQ2857529

M. Tahir Mustafa, Hassan Azad, Abdallah Laradji

Publication date: 4 November 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.5535

zbMATH Keywords

linear differential equationspolynomial solutions


Mathematics Subject Classification ID

Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30)


Related Items

On linear equations with general polynomial solutions, Higher order self-adjoint operators with polynomial coefficients



Cites Work

  • Polynomial solutions of differential equations
  • Orthogonal polynomials and higher order singular Sturm-Liouville systems
  • Physical applications of second-order linear differential equations that admit polynomial solutions
  • Asymptotic iteration method for eigenvalue problems
  • On one-dimensional Schrödinger problems allowing polynomial solutions
  • Soft-core Coulomb potentials and Heun’s differential equation
  • Fast algorithms for polynomial solutions of linear differential equations
  • A New Class of Orthogonal Polynomials: The Bessel Polynomials
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