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Hermann Hankel information


Hermann Hankel
Born(1839-02-14)14 February 1839
Halle, Germany
Died29 August 1873(1873-08-29) (aged 34)
Schramberg, German Empire
NationalityGerman
Alma materLeipzig University
Known for
  • Generalized Stokes theorem
  • Hankel contour
  • Hankel function
  • Hankel matrix
  • Hankel transform
  • Hankel singular value
SpouseMarie Hankel
Scientific career
Fields
  • Mathematical analysis
  • Special functions
Institutions
  • Leipzig University
  • University of Erlangen–Nuremberg
  • University of Tübingen
Thesis Ueber eine besondere Classe der symmetrischen Determinanten  (1861)

Hermann Hankel (14 February 1839 – 29 August 1873) was a German mathematician. Having worked on mathematical analysis during his career, he is best known for introducing the Hankel transform and the Hankel matrix.

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Hermann Hankel

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Hermann Hankel (14 February 1839 – 29 August 1873) was a German mathematician. Having worked on mathematical analysis during his career, he is best known...

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Hankel matrix

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In linear algebra, a Hankel matrix (or catalecticant matrix), named after Hermann Hankel, is a square matrix in which each ascending skew-diagonal from...

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Hankel transform

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transformed function. The Hankel transform is an integral transform and was first developed by the mathematician Hermann Hankel. It is also known as the...

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Hankel singular value

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In control theory, Hankel singular values, named after Hermann Hankel, provide a measure of energy for each state in a system. They are the basis for balanced...

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Bessel function

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independent solutions of Bessel's differential equation. They are named after Hermann Hankel. These forms of linear combination satisfy numerous simple-looking properties...

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Hankel contour

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Use of Hankel contours is one of the methods of contour integration. This type of path for contour integrals was first used by Hermann Hankel in his investigations...

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Hermann Grassmann

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during his lifetime was Hermann Hankel, whose 1867 Theorie der complexen Zahlensysteme. […], he developed […] some of Hermann Grassmann's algebras and...

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Generalized Stokes theorem

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which led to the result bearing his name. It was first published by Hermann Hankel in 1861. This classical case relates the surface integral of the curl...

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Diophantus

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mentioned here that Diophantus never used general methods in his solutions. Hermann Hankel, renowned German mathematician made the following remark regarding Diophantus:...

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Marie Hankel

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for women's suffrage. She was married to the German mathematician Hermann Hankel. Hankel née Dippe was born in 1844 in Schwerin, Germany. In 1905 she learned...

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Reciprocal gamma function

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{\text{for}}~\left|\arg(z)\right|<\pi } An integral representation due to Hermann Hankel is 1 Γ ( z ) = i 2 π ∮ H ( − t ) − z e − t d t , {\displaystyle {\frac...

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History of calculus

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differential equations, and George Boole freely employed them. Hermann Grassmann and Hermann Hankel made great use of the theory, the former in studying equations...

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List of German mathematicians

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Hahn Rudolf Halin Ursula Hamenstädt Johannes Hancke Wolfgang Händler Hermann Hankel Raphael Levi Hannover Carl Gustav Axel Harnack Paul Harzer Helmut Hasse...

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Pythagorean theorem

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the proposals of German mathematicians Carl Anton Bretschneider and Hermann Hankel that Pythagoras may have known this proof. Heath himself favors a different...

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Wilhelm Gottlieb Hankel

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Wilhelm Gottlieb Hankel (17 May 1814 – 18 February 1899) was a German physicist who was among the first to identify pyroelectric effects and the rotation...

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Henry John Stephen Smith

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Riemann integrability of a discontinuous function given earlier by Hermann Hankel was incorrect and the result does not hold: however, his result remained...

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Ulisse Dini

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to the field, starting from Riemann's work and going to the works of Hermann Hankel, Gaston Darboux, Giulio Ascoli, Henry John Stephen Smith, Ulisse Dini...

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Peter Gustav Lejeune Dirichlet

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understanding of a function as an analytic formula. Imre Lakatos cites Hermann Hankel as the early origin of this attribution, but disputes the claim saying...

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Uniform convergence

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questions were intensely studied at the end of the 19th century by Hermann Hankel, Paul du Bois-Reymond, Ulisse Dini, Cesare Arzelà and others. We first...

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List of eponyms of special functions

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function Philip Hall: Hall polynomial, Hall–Littlewood polynomial Hermann Hankel: Hankel function Heine: Heine functions Charles Hermite: Hermite polynomials...

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Leipzig University

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astronomer, known for the Mollweide projection Hermann Hankel, German mathematician, known for the Hankel transform Felix Hausdorff, German mathematician...

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Paul Tannery

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Bretschneider Moritz Cantor J. G. Friedlein James Gow Siegmund Günther Hermann Hankel J. L. Heiberg Friedrich Hultsch Gino Loria Maximilien Marie J. H. T...

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Giulio Ascoli

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to the field, starting from Riemann's work and going to the works of Hermann Hankel, Gaston Darboux, Giulio Ascoli, Henry John Stephen Smith, Ulisse Dini...

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Principle of permanence

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form. The principle was later revised by Hermann Hankel and adopted by Giuseppe Peano, Ernst Mach, Hermann Schubert, Alfred Pringsheim, and others. Around...

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Chakravala method

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times, equalled the marvellous complexity and ingenuity of chakravala." Hermann Hankel calls the chakravala method "the finest thing achieved in the theory...

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Georg Scheffers

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exploration of Nqss, it is also a literature review going back to the work of Hermann Hankel. In §14 (p 386) Scheffers reviews both German and English authors on...

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