Hermann Hankel

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Hankel, Hermann

 

Born Feb. 14, 1839, in Halle; died Aug. 29, 1873, in Schramberg. German mathematician.

Working in Erlangen and Tübingen, he derived a series of formulas on the theory of cylindrical functions; his researches on the foundations of arithmetic promoted the development of the theory of quaternions and general hyper-complex number systems. Hankel also wrote works on the history of mathematics in the classical and medieval periods.

WORKS

Theorie der complexen Zahlensysteme. Leipzig, 1867. (Vorlesungen über die complexen Zahlen und ihre Funktionen, part 1.)
Zur Geschichte der Mathematick in Altertum und Mittelalter. Leipzig, 1874.
References in periodicals archive ?
The Hankel matrix H(f, [eta]) is called the join matrix.
The Hankel determinant of f for q [greater than or equal to] 1 and n [greater than or equal to] 1 was defined by Pommerenke [19,20] as
They have determined expressions of flow rate, velocity, fluid acceleration and shear stress by using Laplace and finite Hankel transform.
First employing Hankel transform with respect to the variable r, which is denoted by * and then Laplace transform with respect to the variable z, which is denoted by--.
In this paper, we study the properties of the eigenfunctions of the finite Hankel transform.
The original states are recombined to new states that are ordered according to their associated Hankel singular value (HSV).
Recently, Fretigny and Chateauminois provided an analytical solution for the Hankel transform of the elastic field during the indentation of a layered medium, which was numerically inverted in real space (38), (39).
See CLAUDE MULLINS, THE LEIPZIG TRIALS: AN ACCOUNT OF THE WAR CRIMINALS' TRIALS AND STUDY OF GERMAN MENTALITY (1921); GERD HANKEL, DIE LEIPZIGER PROZESSE: DEUTSCHE KRIEGSVERBRECHEN UND IHRE STRAFRECHTLICHE VERFOLGUNG NACH DEM ERSTEN WELTKRIEG (2003).
Dunkl, Hankel transforms associated to finite reection groups, Contemp.
This third edition adds coverage of transforms including finite Hankel transforms, Legendre transforms, Jacobi and Gengenbauer transforms, fraction Fourier transforms, Zak transforms, multidimensional discrete unitary transforms, and Hilbert-Huang transforms.
van Hengstum M, Festen J, Beurskens C, Hankel M, van den Broek W, Buijs W et al.