Gamma Splines and Wavelets

Table 2

𝑃_𝑚(𝑧) polynomial for 𝑚=0 to 5.

𝑚	𝑃𝑚(𝑧)
0	1
1	𝑒^−𝑏𝑧^−1
2	𝑒^−𝑏𝑧^−1+𝑒^−2𝑏𝑧^−2
3	𝑒^−𝑏𝑧^−1+4𝑒^−2𝑏𝑧^−2+𝑒^−3𝑏𝑧^−3
4	𝑒^−𝑏𝑧^−1+11𝑒^−2𝑏𝑧^−2+11𝑒^−3𝑏𝑧^−3+𝑒^−4𝑏𝑧^−4
5	𝑒^−𝑏𝑧^−1+26𝑒^−2𝑏𝑧^−2+66𝑒^−3𝑏𝑧^−3+26𝑒^−4𝑏𝑧^−4+𝑒^−5𝑏𝑧^−5