Inner products involving q-differences: the little q-Laguerre–Sobolev polynomials

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摘要

In this paper, polynomials which are orthogonal with respect to the inner product〈p,r〉S=∑k=0∞p(qk)r(qk)(aq)k(aq;q)∞(q;q)k+λ∑k=0∞(Dqp)(qk)(Dqr)(qk)(aq)k(aq;q)∞(q;q)k,where Dq is the q-difference operator, λ⩾0,0

论文关键词:primary 33C25,secondary 33D45,Orthogonal polynomials,Sobolev orthogonal polynomials,Little q-Laguerre polynomials

论文评审过程:Received 13 January 1999, Available online 26 May 2000.

论文官网地址:https://doi.org/10.1016/S0377-0427(00)00278-8