where is the Dirichlet Lambda Function and is the Gamma Function. Equation (2) is
obtained from (1) by defining
These formulas give valid results only for certain classes of functions.
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.
© 1996-9 Eric W. Weisstein