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- W4308758538 abstract "We introduce a new family of multiple orthogonal polynomials satisfying orthogonality conditions with respect to two weights $(w_1,w_2)$ on the positive real line, with $w_1(x)=x^alpha e^{-x}$ the gamma density and $w_2(x) = x^alpha E_{nu+1}(x)$ a density related to the exponential integral $E_{nu+1}$. We give explicit formulas for the type I functions and type II polynomials, their Mellin transform, Rodrigues formulas, hypergeometric series and recurrence relations. We determine the asymptotic distribution of the (scaled) zeros of the type II multiple orthogonal polynomials and make a connection to random matrix theory. Finally, we also consider a related family of mixed type multiple orthogonal polynomials." @default.
- W4308758538 created "2022-11-15" @default.
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- W4308758538 date "2022-11-09" @default.
- W4308758538 modified "2023-09-26" @default.
- W4308758538 title "Multiple orthogonal polynomials associated with the exponential integral" @default.
- W4308758538 doi "https://doi.org/10.48550/arxiv.2211.04858" @default.
- W4308758538 hasPublicationYear "2022" @default.
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