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• W2034142778 abstract "We introduce a new family of special functions, namely $q$-Charlier multiple orthogonal polynomials. These polynomials are orthogonal with respect to $q$-analogues of Poisson distributions. We focus our attention on their structural properties. Raising and lowering operators as well as Rodrigues-type formulas are obtained. An explicit representation in terms of a $q$-analogue of the second of Appell's hypergeometric functions is given. A high-order linear $q$-difference equation with polynomial coefficients is deduced. Moreover, we show how to obtain the nearest neighbor recurrence relation from some difference operators involved in the Rodrigues-type formula." @default.
• W2034142778 created "2016-06-24" @default.
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• W2034142778 date "2015-03-28" @default.
• W2034142778 modified "2023-10-01" @default.
• W2034142778 title "On the q-Charlier Multiple Orthogonal Polynomials" @default.
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• W2034142778 doi "https://doi.org/10.3842/sigma.2015.026" @default.
• W2034142778 hasPublicationYear "2015" @default.
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