| 1. | For non-integer ?, a more general power series expansion is required.
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| 2. | :: There must be more fancy power series expansions for the logarithm which converge faster.
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| 3. | Where the power series expansion for about follows because has a simple pole of residue one there.
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| 4. | You have a well defined and convergent power series expansion about each point of the complex plane.
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| 5. | In light of the power series expansion, it is not surprising that Liouville's theorem holds.
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| 6. | Since none of the functions discussed in this article are continuous, none of them have a power series expansion.
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| 7. | Moreover, the power series expansion of a holomorphic function in \ mathcal F gives its expansion with respect to this basis.
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| 8. | The singularities nearest 0, which is the center of the power series expansion, are at ?? " i ".
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| 9. | This condition is imposed by demanding that no odd powers of " t " appear in the formal power series expansion:
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| 10. | Again, the function " x x " have well defined power series expansions at each point of the positive real numbers.
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