Euler-Mascheroni constant

English Etymology Named after mathematicians Leonhard Euler (1707—1783) and Lorenzo Mascheroni (1750—1800). The origin of the notation γ is unclear: it may have been first used by either Euler or Mascheroni.Earliest Uses of Symbols for Constants It possibly reflects the constant's connection to the gamma function. Proper noun en math A constant, denoted γ and recurring in analysis and number theory, that is defined as the limiting difference between the harmonic series and the natural logarithm and has the approximate value 0.57721566. en 1988 Mathematics Magazine, Volume 61 w:Mathematical Association of America https://books.google.com.au/books?id=sb83AAAAIAAJ&q=%22Euler-Mascheroni+constant%22&dq=%22Euler-Mascheroni+constant%22&hl=en&sa=X&ved=0ahUKEwj8-qDyuI7jAhVXU30KHXLSANIQ6AEI-gEwIw 82 The run for , the Euler-Mascheroni constant, for instance, yielded 583 approximations with six decimals or more! en 2003 Barry Guiduli János Surányi; w:Paul Erdős Topics in the Theory of Numbers https://books.google.com.au/books?id=NnXrBwAAQBAJ&printsec=frontcover&dq=%22Euler-Mascheroni+constant%22&hl=en&sa=X&ved=0ahUKEwj8-qDyuI7jAhVXU30KHXLSANIQ6AEI8wEwIg#v=onepage&q=%22Euler-Mascheroni%20constant%22&f=false 100 Springer In the previous section we mentioned that we do no know, for instance, whether the Euler–Mascheroni constant or the numbers for are rational. en 2013 Ovidiu Furdui Limits, Series, and Fractional Part Integrals: Problems in Mathematical Analysis https://books.google.com.au/books?id=YNP1fcTjtBcC&pg=PA252&dq=%22Euler-Mascheroni+constant%22&hl=en&sa=X&ved=0ahUKEwj8-qDyuI7jAhVXU30KHXLSANIQ6AEIZjAL#v=onepage&q=%22Euler-Mascheroni%20constant%22&f=false 252 Springer The Euler–Mascheroni constant, , considered to be the third important mathematical constant next to and , has appeared in a variety of mathematical formulae involving series, products and integrals. Usage notes Mathematically, , where represents the floor function. Synonyms mathematical constant en Euler's constant, en gamma Translations mathematical constant German: de Euler-Mascheroni-Konstante f, de Eulersche Konstante f Italian: it costante di Eulero-Mascheroni f References en eponyms