On a class of Stieltjes-Van Vleck polynomials

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Article on a class of Stieltjes-Van Vleck polynomials.

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11 p.

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Anghel, Nicolae 2013.

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Article on a class of Stieltjes-Van Vleck polynomials.

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11 p.

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Abstract: The (Stieltjes, Van Vleck) polynomials are pairs (f(z), v(z)) of polynomials from the polynomial ring C(z), f monic, which solve the generalized elgenvalue problem T(f) = vf, for a given linear (differential) operator T : C(z) -- C(z). In this note we investigate the Stieltjes-Van Vleck polynomials associated to the differential operator T : =d2/dz2 + p(z) d/dz, where p(z) ∈ C(z) is a fixed non-constant polynomial.

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  • Advances in Mathematics, 2013, Bucureşti: Editura Academiei Române, pp. 41-48

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  • Publication Title: Advances in Mathematics
  • Page Start: 41
  • Page End: 48
  • Peer Reviewed: Yes

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  • 2013

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  • Nov. 13, 2014, 7:28 a.m.

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  • Nov. 18, 2014, 9:52 a.m.

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Anghel, Nicolae. On a class of Stieltjes-Van Vleck polynomials, article, 2013; [Bucureşti, Romania]. (digital.library.unt.edu/ark:/67531/metadc407862/: accessed October 18, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT College of Arts and Sciences.