Article contents
Legendre polynomials in irrationality proofs
Published online by Cambridge University Press: 17 April 2009
Abstract
It is shown that a simple trick involving Legendre polynomials readily yields the irrationality of ea, , π2, and of the zeros of Bessel functions of integer order. Generalisation of this idea yields the irrationality of ζ(3).
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 22 , Issue 3 , December 1980 , pp. 431 - 438
- Copyright
- Copyright © Australian Mathematical Society 1980
References
- 8
- Cited by