Multi-indexed Orthogonal Polynomials of a Discrete Variable and Exactly Solvable Birth and Death Processes
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DOI: 10.1093/ptep/ptaf041
Abstract: We present the case-(1) multi-indexed orthogonal polynomials of a discrete variable for 8 types ((dual)(q-)Hahn, three kinds of q-Krawtchouk and q-Meixner). Based on them and the case-(1) multi-indexed orthogonal polynomials of Racah, q-Racah, Meixner, little… read more here.
Keywords: discrete variable; multi indexed; indexed orthogonal; orthogonal polynomials ... See more keywords
Dual polynomials of the multi-indexed (q-)Racah orthogonal polynomials
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DOI: 10.1093/ptep/pty076
Abstract: We consider dual polynomials of the multi-indexed ($q$-)Racah orthogonal polynomials. The $M$-indexed ($q$-)Racah polynomials satisfy the second order difference equations and various $1+2L$ ($L\geq M+1$) term recurrence relations with constant coefficients. Therefore their dual polynomials… read more here.
Keywords: racah orthogonal; multi indexed; indexed racah; polynomials multi ... See more keywords