## Lambda Function

The lambda function defined by Jahnke and Emden (1945) is

 (1) (2)

where is a Bessel Function of the First Kind and is the Jinc Function.

A two-variable lambda function defined by Gradshteyn and Ryzhik (1979) is

 (3)

where is the Gamma Function.

See also Airy Functions, Dirichlet Lambda Function, Elliptic Lambda Function, Jinc Function, Lambda Hypergeometric Function, Mangoldt Function, Mu Function, Nu Function

References

Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 5th ed. San Diego, CA: Academic Press, p. 1079, 1979.

Jahnke, E. and Emde, F. Tables of Functions with Formulae and Curves, 4th ed. New York: Dover, 1945.

© 1996-9 Eric W. Weisstein
1999-05-26