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单词 Ramanujan's Interpolation Formula
释义

Ramanujan's Interpolation Formula


(1)
(2)

where is the Dirichlet Lambda Function and is the Gamma Function. Equation (2) isobtained from (1) by defining
(3)

These formulas give valid results only for certain classes of functions.


References

Hardy, G. H. Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work, 3rd ed. New York: Chelsea, pp. 15 and 186-195, 1959.


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