Discrete Dynamics in Nature and Society / 2010 / Article / Tab 1

Research Article

A Note on the ( β„Ž , π‘ž ) -Extension of Bernoulli Numbers and Bernoulli Polynomials

Table 1

Numbers of real and complex zeros of 𝐡 ( β„Ž ) 𝑛 , π‘ž ( π‘₯ ) .

degree 𝑛 β„Ž = 3 β„Ž = 5
real zeros complex zeros real zeros complex zeros

1 1 0 1 0
2 2 0 2 0
3 3 0 3 0
4 4 0 2 2
5 32 32
6 4 2 4 2
7 5 2 5 2
8 6 2 4 4
9 3 6 5 4
10 4 6 6 4
11 5 6 5 6
12 6 6 4 8

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