| 31. | More concretely, their generating functions are equal after an appropriate change of variables.
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| 32. | The Taylor series using the moments as they usually occur in the moment generating function yields
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| 33. | Expressions for the ordinary generating function of other sequences are easily derived from this one.
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| 34. | Probability generating functions obey all the rules of power series with non-negative coefficients.
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| 35. | G _ a ( z ) is called the generating function of the sequence a.
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| 36. | A cumulant generating function ( CGF ) may then be obtained from the cumulant function.
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| 37. | Also, generating the generating function is very easy, you just iterate this process.
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| 38. | In your case, using generating functions seems a reasonable way for treating the sums.
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| 39. | You can do this using generating functions.
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| 40. | However, the moment generating function exists only for distributions that have a defined Laplace transform.
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