Gamma Splines and Wavelets

Table 1

𝑁_𝐾(𝑧) and the discrete B-spline 𝛽_𝐾(𝑧) for 𝐾=1 to 6.

1	11−𝑧^−1	1
2	𝑧^−11−𝑧^−12	𝑧^−1
3	𝑧^−1+𝑧^−221−𝑧^−13	𝑧^−1+𝑧^−22
4	𝑧^−1+4𝑧^−2+𝑧^−361−𝑧^−14	𝑧^−1+4𝑧^−2+𝑧^−36
5	𝑧^−1+11𝑧^−2+11𝑧^−3+𝑧^−4241−𝑧^−14	𝑧^−1+11𝑧^−2+11𝑧^−3+𝑧^−424
6	𝑧^−1+26𝑧^−2+66𝑧^−3+26𝑧^−4+𝑧^−51201−𝑧^−14	𝑧^−1+26𝑧^−2+66𝑧^−3+26𝑧^−4+𝑧^−5120