Publication: Integrals and iterated integrals and Borwein-Chen-Dilcher polynomials
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Publication date
2020-10
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Tutors
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Springer Nature
Abstract
We study the zero location and the asymptotic behavior of iterated integrals of polynomials. Borwein–Chen–Dilcher’s polynomials play an important role in this issue. For these polynomials we find their strong asymptotics and give the limit measure of their zero distribution. We apply these results to describe the zero asymptotic distribution of iterated integrals of ultraspherical polynomials with parameters (2α+1)/2, α∈Z+.
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Keywords
Asymptotic behaviour, Iterated integrals, Orthogonal polynomials, Zeros of polynomials
Bibliographic citation
Bello-Hernández, M., Pijeira-Cabrera, H., & Rivero-Castillo, D. (2020). Iterated Integrals and Borwein–Chen–Dilcher Polynomials. Mediterranean Journal of Mathematics, 17(5), 148.