A system of functions biorthogonal with the derivatives of Chebyshev second-kind polynomials of a complex variable
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DOI: 10.1007/s10958-020-04973-0
Abstract: For the derivatives of Chebyshev second-kind polynomials of a complex vafiable, a system of functions biorthogonal with them on closed curves of the complex plane is constructed. Properties of these functions and the conditions of… read more here.
Keywords: chebyshev second; second kind; kind polynomials; derivatives chebyshev ... See more keywords
ALEXANDER POLYNOMIALS OF COMPLEX PROJECTIVE PLANE CURVES
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DOI: 10.1017/s0004972717001198
Abstract: We compute the Alexander polynomial of a nonreduced nonirreducible complex projective plane curve with mutually coprime orders of vanishing along its irreducible components in terms of certain multiplier ideals. read more here.
Keywords: projective plane; alexander polynomials; polynomials complex; plane curves ... See more keywords
Characteristic Polynomials of Complex Random Matrices and Painlevé Transcendents
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DOI: 10.1093/imrn/rnaa111
Abstract: We study expectations of powers and correlation functions for characteristic polynomials of N×N non-Hermitian random matrices. For the 1-point and 2-point correlation function, we obtain several characterizations in terms of Painleve transcendents, both at finite-N… read more here.
Keywords: ginibre ensemble; characteristic polynomials; random matrices; polynomials complex ... See more keywords
A Note on Degenerate Euler and Bernoulli Polynomials of Complex Variable
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DOI: 10.3390/sym11091168
Abstract: Recently, the so-called new type Euler polynomials have been studied without considering Euler polynomials of a complex variable. Here we study degenerate versions of these new type Euler polynomials. This has been done by considering… read more here.
Keywords: euler; bernoulli polynomials; complex variable; euler polynomials ... See more keywords