L
Luigi Gatteschi
Researcher at University of Turin
Publications - 17
Citations - 246
Luigi Gatteschi is an academic researcher from University of Turin. The author has contributed to research in topics: Bessel function & Jacobi polynomials. The author has an hindex of 8, co-authored 17 publications receiving 238 citations.
Papers
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Journal ArticleDOI
Asymptotics and bounds for the zeros of Laguerre polynomials: a survey
TL;DR: In this paper, two uniform asymptotic representations of the Bessel function Jα(x) and the Airy function Ai(x), respectively, are presented for the Laguerre polynomial Ln α(x).
Journal ArticleDOI
New inequalities for the zeros of Jacobi polynomials
TL;DR: In this article, it was shown that certain asymptotic approximations are upper or lower bounds for the zeros of Jacobi polynomials of P_n^{(\alpha, β )} (\cos \theta ).
Journal ArticleDOI
On the concavity of zeros of bessel functions
TL;DR: In this paper, the concavity of zeros of bessel functions is investigated and it is shown that zeros are concave in the sense that the concaveness of a zeros is a function of the number of elements in the function.
Journal ArticleDOI
A Bernstein-type inequality for the Jacobi polynomial
TL;DR: In this paper, it was shown that (sn2)a 7 co ).8+ 7 p(a, ) (cos 0) I < rF(q + I ) (n + q Nq2 2 f,( I) \ n where q = max(a,,B) and N = n + 2(a +,B + 1).
Book ChapterDOI
The bounds for the error term of an asymptotic approximation of Jacobi polynomials
Paola Baratella,Luigi Gatteschi +1 more
TL;DR: In this article, a new asymptotic approximation of Jacobi polynomials P n (α,β) (cosϑ) was proposed and a realistic and explicit bound for the corresponding error term was obtained.