“Dirichlet Lambda Function”的概念、定义、习题解题方法及翻译-数学辞典

单词

Dirichlet Lambda Function

释义

Dirichlet Lambda Function

(1)

for

, 3, ..., where

is the Riemann Zeta Function. The function is undefined at

. It can becomputed in closed form where

can, that is for Even Positive

. It is related to the Riemann ZetaFunction and Dirichlet Eta Function by

(2)

and

(3)

(Spanier and Oldham 1987). Special values of

include

			(4)
			(5)

See also Dirichlet Beta Function, Dirichlet Eta Function, Riemann Zeta Function,Zeta Function

References

Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 807-808, 1972.

Spanier, J. and Oldham, K. B. ``The Zeta Numbers and Related Functions.'' Ch. 3 in An Atlas of Functions. Washington, DC: Hemisphere, pp. 25-33, 1987.

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