On the zeros of Van Vleck polynomials
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- by G. M. Shah
- Proc. Amer. Math. Soc. 19 (1968), 1421-1426
- DOI: https://doi.org/10.1090/S0002-9939-1968-0230954-X
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References
- Maxime Bôcher, The roots of polynomials which satisfy certain linear differential equations of the second order, Bull. Amer. Math. Soc. 4 (1898), no. 6, 256–258. MR 1557593, DOI 10.1090/S0002-9904-1898-00485-8
- Morris Marden, Geometry of polynomials, 2nd ed., Mathematical Surveys, No. 3, American Mathematical Society, Providence, R.I., 1966. MR 0225972 G. M. Shah, Zeros of polynomial solutions of generalized Lamé differential equation, Doctoral dissertation, Univ. of Wisconsin-Milwaukee, 1966.
- G. M. Shah, On the zeros of Stieltjes and Van Vleck polynomials, Illinois J. Math. 14 (1970), 522–528. MR 264137
- T. J. Stieltjes, Sur certains polynômes, Acta Math. 6 (1885), no. 1, 321–326 (French). Qui vérifient une équation différentielle linéaire du second ordre et sur la theorie des fonctions de Lamé. MR 1554669, DOI 10.1007/BF02400421
- E. B. van Vleck, On the polynomials of Stieltjes, Bull. Amer. Math. Soc. 4 (1898), no. 9, 426–438. MR 1557633, DOI 10.1090/S0002-9904-1898-00531-1
Bibliographic Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 1421-1426
- MSC: Primary 33.45
- DOI: https://doi.org/10.1090/S0002-9939-1968-0230954-X
- MathSciNet review: 0230954