Geometric polynomials have new asymptotic behaviors in the complex plane and on (-1,0), specific consecutive zero distances in the bulk, and orthogonality relations that apply verbatim to Eulerian polynomials.
Eulerian Polynomials: from Euler’s Time to the Present, The Legacy of Alladi Ramakrishnan in the Mathematical Sciences, Springer, 2010, pp
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Asymptotics and zero behaviour of geometric polynomials
Geometric polynomials have new asymptotic behaviors in the complex plane and on (-1,0), specific consecutive zero distances in the bulk, and orthogonality relations that apply verbatim to Eulerian polynomials.