In mathematics, sieved Pollaczek polynomials are a family of

sieved orthogonal polynomials In mathematics, sieved orthogonal polynomials are orthogonal polynomials whose recurrence relations are formed by sieving the recurrence relations of another family; in other words, some of the recurrence relations are replaced by simpler ones. Th ...

, introduced by . Their recurrence relations are a modified (or "sieved") version of the recurrence relations for Pollaczek polynomials.

References

* * *{{Citation , last1=Ismail , first1=Mourad E. H. , title=On sieved orthogonal polynomials. I. Symmetric Pollaczek analogues , doi=10.1137/0516081 , mr=800799 , year=1985 , journal=SIAM Journal on Mathematical Analysis , issn=0036-1410 , volume=16 , issue=5 , pages=1093–1113 Orthogonal polynomials