Hjalmar Mellin

Robert Hjalmar Mellin (1854–1933), a Finnish function-theorist. He studied in Helsinki University under Gösta Mittag-Leffler, in Berlin under Karl Weierstrass and Leopold Kronecker. He worked as professor of mathematics in the Helsinki Polytechnic Institute (later the Technical University of Finland).

Mellin is best known for his integral transform, the Mellin transform (http://planetmath.org/MellinTransform)


which he utilised in study of gamma functionDlmfDlmfMathworldPlanetmath, hypergeometric functionsDlmfDlmfDlmfMathworldPlanetmath, Dirichlet series, Riemann zeta functionDlmfDlmfMathworldPlanetmath and related number-theoretic functions. Mellin’s transform and its inversePlanetmathPlanetmathPlanetmath transform


are much used also in physics. Mellin himself applied his transformationsMathworldPlanetmath for solving partial differential equationsMathworldPlanetmath and the inverse transformations for forming asymptotic series expansions.

Mellin has addressed of relativity.

Title Hjalmar Mellin
Canonical name HjalmarMellin
Date of creation 2015-02-17 14:49:42
Last modified on 2015-02-17 14:49:42
Owner pahio (2872)
Last modified by pahio (2872)
Numerical id 8
Author pahio (2872)
Entry type Biography
Classification msc 01A55
Classification msc 01A60
Synonym Mellin
Related topic MellinsInverseFormula