Discrete Dynamics in Nature and Society / 2010 / Article / Tab 2

Research Article

A Note on the ( โ„Ž , ๐‘ž ) -Extension of Bernoulli Numbers and Bernoulli Polynomials

Table 2

Approximate solutions of ๐ต ( 3 ) ๐‘› , ๐‘ž ( ๐‘ฅ ) = 0 , ๐‘ž = 1 / 2 , ๐‘ฅ โˆˆ โ„ .

degree ๐‘› ๐‘ฅ

1 0 . 3 3 8 0 4 1 2 0 4
2 0 . 0 7 7 2 7 7 1 0 8 , 0 . 5 9 8 8 0 5 3 0 1
3 โˆ’ 0 . 0 7 9 0 7 8 4 0 1 , 0 . 2 7 5 4 8 8 1 7 , 0 . 8 1 7 7 1 3 8 4
4 โˆ’ 0 . 1 4 8 5 9 6 4 9 , 0 . 0 0 6 3 9 1 6 4 , 0 . 4 8 7 9 8 3 8 7 , 1 . 0 0 6 3 8 5 7 9
5 0 . 1 9 2 2 8 0 4 , 0 . 6 9 6 0 3 2 0 , 1 . 1 6 9 9 1 8 3 2
6 โˆ’ 0 . 1 0 1 9 3 3 5 , 0 . 3 9 0 8 6 0 1 , 0 . 8 9 7 2 2 9 4 , 1 . 3 1 0 0 2 5 3
7 โˆ’ 0 . 3 0 0 7 3 7 , 0 . 0 9 4 1 3 2 , 0 . 5 9 2 0 6 0 , 1 . 0 9 4 1 6 7 , 1 . 4 2 5 0 4 4 4
โ‹ฎ โ‹ฎ

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