Phrase guide

Mellin transform

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

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1

noun

Meaning 1

An integral transform that may be regarded as the multiplicative version of the two-sided Laplace transform.

Definition source: English Wiktionary via Wiktextract

Topics: mathematical-analysis, mathematics, number-theory, sciences, statistics

Examples

  • 2005, Robb J. Muirhead, Aspects of Multivariate Statistical Theory, John Wiley & Sons, page 303, If X is a positive random variable with density function f(x), the Mellin transform M(s) gives the (s-l)th moment of X. Hence Theorem 8.2.6 gives the Mellin transform of W evaluated at s=h+1; that is, M(h+1)=E(Wh). The inverse Mellin transform gives the density function of W.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

Named after Finnish mathematician Hjalmar Mellin.