Mellinn.
/ˈmɛlɪn/, U.S. /ˈmɛl(ə)n/ Mathematics.
1. Mellin's inversion formula n. (also Mellin inversion formula) a formula for performing an integral transform between variables x and s in which the integrand with respect to x is g(s) = ∫ xs−1f(x) dx; (also) the formula for the inverse of this transform.
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1918 Messenger Math. 49 178 (heading) On Mellin's inversion formula.
1927 Messenger Math. 56 186 In this note I shall apply Mellin's inversion formula..to the evaluation of a number of curious integrals containing Bessel functions or allied transcendents.
1937 E. C. Titchmarsh Introd. Theory Fourier Integrals 7 Mellin's inversion formulae. These formulae arise naturally in the theory of Dirichlet series.
1989 E. J. Borowski & J. M. Borwein Dict. Math. 373 Mellin transform or Mellin inversion formula, an integral transform.
2. Mellin transform n. the Mellin inversion formula, or the transformation obtained as a result of applying the formula.
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the world > relative properties > number > algebra > [noun] > expression > formula
binomial theorem1755
formula1794
Rankine's formula1868
proportionality1882
Hero's formula1886
Rutherford's law1913
Mellin transform1927
Langevin equation1943
1927 Messenger Math. 56 189 The Mellin transform of the left hand side is a symmetric function of n and v.
1948 Ann. Math. Statistics 19 370 The Mellin transform is a natural analytical tool to use in studying the distribution of products and quotients of independent random variables.
1990 Q. Jrnl. Mech. & Appl. Math. 43 572 The integral equations could be solved directly with the Mellin transform.
This is a new entry (OED Third Edition, June 2001; most recently modified version published online March 2022).
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n.1918