On uncertainty principle of the local polynomial Fourier transform

EURASIP Journal on Advances in Signal Processing

Table 2 Expressions of 〈τⁿ〉_t for n = 1, 2, 3 4, 5 and 6

n	〈τⁿ〉
1	$\frac{a t}{a + α}$
2	$\frac{1}{2 (a + α)} + {(\frac{a t}{a + α})}^{2}$
3	$\frac{3 a t}{2 {(a + α)}^{2}} + {(\frac{a t}{a + α})}^{3}$
4	$\frac{3}{4 {(a + α)}^{3}} + \frac{3 {(a t)}^{2}}{{(a + α)}^{3}} + {(\frac{a t}{a + α})}^{4}$
5	$\frac{15 a t}{4 {(a + α)}^{3}} + \frac{5 {(a t)}^{3}}{{(a + α)}^{4}} + {(\frac{a t}{a + α})}^{5}$
6	$\frac{15}{8 {(a + α)}^{3}} + \frac{5 {(a t)}^{2}}{4 {(a + α)}^{4}} + \frac{15 {(a t)}^{4}}{2 {(a + α)}^{5}} + {(\frac{a t}{a + α})}^{6}$