Published January 1, 1934
| public
Journal Article
Open
Functions orthogonal in the Hermitian sense. A new application of basic numbers
- Creators
- Bateman, H.
Chicago
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Abstract
To find a particular set of functions Hn(u) satisfying the Hermitian relation Im,n ≡ ∫∞ -∞ e^-1/2x^2 Hm(ix)Hn(-ix)dx = 0 in which the exponential factor is exp (-x2/2) as also in (14) we may put z = e^iax, where a is an arbitrary positive constant and assume that Hn(ix) is a polynomial of the nth degree in z with real coefficients.
Additional Information
© 1934 by the National Academy of Sciences. Communicated December 12, 1933.Files
BATpnas34.pdf
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Additional details
- Eprint ID
- 9379
- Resolver ID
- CaltechAUTHORS:BATpnas34
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2007-12-17Created from EPrint's datestamp field
- Updated
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2019-10-02Created from EPrint's last_modified field