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Original Articles

Nonlinear-Integral-Equation Construction of Orthogonal Polynomials

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Pages 73-80 | Published online: 21 Jan 2013

References

  • Bender , C M and Ben-Naim , E . 2007 . Nonlinear Integral Formulation of Orthogonal Polynomials . J. Phys. A: Math. Theor. , 40 : F9 – F15 .
  • Lesky , P . 1962 . Die charakterisierung der klassichen orthogonalen polynome durch Sturm-Liouvillesche Differentialgleichungen . Arch. Rational Mech. Anal. , 10 : 341 – 351 .
  • Bochner , S . 1929 . Uber Sturm-Liouvillsche Polynomsysteme . Math. Z. , 29 : 730 – 736 .
  • Kwon , K H and Littlejohn , L L . 1997 . Classification of classical orthogonal polynomials . J. Kor. Math. Soc. , 34 : 973 – 1008 .
  • Erdélyi , A , Magnus , W. , Oberfettinger , F. and Tricomi , F. G. 1953 . Higher Transcendental Functions , Vol. II , New York : McGraw-Hill .
  • Bender , C M . 2005 . Introduction to -Symmetric Quantum Theory . Contemp. Phys. , 46 : 277292
  • Bender , C M . 2007 . Making Sense of Non-Hermitian Hamiltonians . Repts. Prog. Phys. , 70 : 9471018
  • Suetin , P K . 1966 . Fundamental properties of polynomials orthogonal on a contour . Russ. Math. Surv. , 21 : 35 – 83 .
  • Widom , H . 1967 . Polynomials associated with measures in the complex plane . J. Math. Mech. , 16 : 997 – 1013 .
  • Gradsteyn , I S and Ryzhik , I M . 1965 . Table of Integrals, Series, and Products , New York : Academic .

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