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Mohan, Brij
- An Inversion Formula
Abstract Views :172 |
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Authors
Brij Mohan
1,
R. V. Sastry
1
Affiliations
1 Banaras Hindu University, IN
1 Banaras Hindu University, IN
Source
The Journal of the Indian Mathematical Society, Vol 3 (1939), Pagination: 46-48Abstract
An Inversion Formula.- Self-Reciprocal Functions Involving Laguerre Polynomials
Abstract Views :140 |
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Authors
Affiliations
1 Banaras Hindu University, IN
1 Banaras Hindu University, IN
Source
The Journal of the Indian Mathematical Society, Vol 3 (1939), Pagination: 268-270Abstract
The object of this note is to prove that the function
x-1/2e-1/2x2L1/2r-1/2n(1/2x2)
is self-reciprocal for Jr transforms, where n is a positive integer.
Adopting a similar procedure, I also obtain the result that the function
xr+2n+1/2e-1/2x2Ln+rn(1/2x2),
where n is a positive integer, is self-reciprocal for Jr transforms, a theorem proved otherwise by Howell.