Abstract
We survey applications of the Hellmann-Feynman theorem to study monotonicity properties of zeros of certain special functions and orthogonal polynomials. We also describe other methods of establishing monotonicity of zeros of orthogonal polynomials. Some related open problems are mentioned.
This research was partially supported by a grant from the National Science Foundation.
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Ismail, M.E.H. (1989). Monotonicity of Zeros of Orthogonal Polynomials. In: Stanton, D. (eds) q-Series and Partitions. The IMA Volumes in Mathematics and Its Applications, vol 18. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0637-5_14
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DOI: https://doi.org/10.1007/978-1-4684-0637-5_14
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