Talk:Hermite transform

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$P_{n}(1)$ ?

It should probably be specified what $P_{n}$ and $P_{n}(1)$ stand for on the second line of the table. After a quick check at the reference Debnath & Bhatta (p. 566), it seemed to me that this was referring to Legendre's $n$ -th polynomial, which if I'm not wrong equals $1$ at $x=1$ . My modification in this direction was however reverted. Nejimban (talk) 15:08, 30 March 2021 (UTC)[reply]

Proper Source for Debnath's Introduction?

The cited sources include a 1953 report on a functionally equivalent Hermite transform 11 years before the first source cited in support of Debnath's introduction of this transform, 1964. Furthermore the paper of 1964, accessed as page 303:285 of the HTML full text of the journal here, https://eudml.org/doc/259609, does not make a special claim to invent the transform any more than that 1953 report. I am going to remove the claim that Debnath introduced this transform since it would be contentious and is currently unsupported in the article, but I hope this can be resolved more clearly. — Preceding unsigned comment added by RowanElder (talk • contribs) 13:56, 13 August 2024 (UTC)[reply]

P n ( 1 ) {\displaystyle P_{n}(1)} ?

Proper Source for Debnath's Introduction?

$P_{n}(1)$ ?