For this sequence we compute the difference table, to get the diagonal
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For this sequence we compute the difference table, to get the diagonal

Consider any sequence of real numbers  For this sequence we compute the difference table, to get the diagonal sequence  Let H(x) denote the exponential generating function for , and let C(x) denote the exponential generating function for  

(i) Express C(x) in terms of H(x).

(ii) Prove that your answer to (i) is correct.


Hint
MathematicsBoth rational and irrational numbers are considered to be real numbers. Real numbers include all rational and irrational numbers, including integers (-2, 0, 1), fractions (1/2, 2.5), and the number 3....
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