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- W4287625276 abstract "In this contribution we consider sequences of monic polynomials orthogonal with respect to Sobolev-type inner product [ leftlangle f,grightrangle _{lambda,mu}!=!sum_{x=0}^Nf(x)g(x)frac{Gamma(N+1) p^x(1-p)^{N-x} }{Gamma (N-x+1) Gamma(x+1) }+lambdaDelta^j f(0)Delta^j g(0)+muDelta^j f(N)Delta^j g(N), ] where $0<p <1$, $lambda,muin mathbb R_{+}$, $nleq Nin mathbb Z_{+}$, $jin mathbb Z_{+}$ and $Delta$ denotes the forward difference operators. We derive an explicit representation for these polynomials. In addition, the ladder operators associated with these polynomials are obtained. As a consequence, the linear difference equations of second order are also given." @default.
- W4287625276 created "2022-07-25" @default.
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- W4287625276 date "2020-10-31" @default.
- W4287625276 modified "2023-09-30" @default.
- W4287625276 title "On difference equations of Kravchuk-Sobolev type polynomials of higher order" @default.
- W4287625276 doi "https://doi.org/10.48550/arxiv.2011.00255" @default.
- W4287625276 hasPublicationYear "2020" @default.
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