. ▁As ▁a ▁result , ▁to ▁obtain ▁numerical ▁stability ▁in ▁calculating ▁the ▁polynomials ▁you ▁would ▁use ▁the ▁ren ormal ised ▁D ual ▁H ahn ▁Pol ynomial ▁as ▁defined ▁as ▁ ▁for ▁. ▁ ▁Then ▁the ▁orth og on ality ▁condition ▁becomes ▁ ▁for ▁ ▁Rec urrence ▁and ▁difference ▁relations ▁ ▁Rod rig ues ▁formula ▁ ▁Gener ating ▁function ▁ ▁Rel ation ▁to ▁other ▁polynomials ▁The ▁H ahn ▁polynomials , ▁, ▁is ▁defined ▁on ▁the ▁uniform ▁lattice ▁, ▁and ▁the ▁parameters ▁ ▁are ▁defined ▁as ▁. ▁Then ▁setting ▁ ▁the ▁H ahn ▁polynomials ▁become ▁the ▁T ch eb iche f ▁polynomials . ▁Note ▁that ▁the ▁D ual ▁H ahn ▁polynomials ▁have ▁a ▁q - anal og ▁with ▁an ▁extra ▁parameter ▁q ▁known ▁as ▁the ▁D ual ▁H ahn ▁Q - pol ynomial s ▁▁ ▁R ac ah ▁polynomials ▁are ▁a ▁general ization ▁of ▁dual ▁H ahn ▁polynomials ▁ ▁References ▁ ▁Category : Special ▁hyper ge ometric ▁functions ▁Category : Or th ogonal ▁polynomials <0x0A> </s> ▁Don je ▁Z d jel ice ▁ ▁is ▁a ▁village ▁in ▁Cro atia . ▁▁ ▁Category : Pop ulated ▁places ▁in ▁Kop riv nica - K ri ž ev ci ▁County <0x0A> </s> ▁The ▁Qu ay ▁School ▁of ▁the ▁Arts ▁is ▁a ▁T ert i ary ▁Art ▁School ▁in ▁Wh ang an ui , ▁a ▁west ▁coast ▁city ▁in ▁the ▁North ▁Island ▁of ▁New ▁Zealand . ▁It ▁was ▁part ▁of ▁the ▁Wang an ui ▁Poly techn ic ▁but ▁now ▁is ▁an ▁adj unct ▁of ▁Wh ang an ui ▁U