"The Gamma Function: An Eclectic Tour"

Prelegent(ci)

Prof. Gopala Krishna Srinivasan

Afiliacja

âIndian Institute of Technology, Bombay

Termin

12 maja 2016 12:30

Pokój

p. 4060

Seminarium

Seminarium Zakładu Równań Fizyki Matematycznej

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The Gamma function was introduced into analysis in 1729 by L. Euler in a letter to Goldbach. It has since then attracted the attention of the great masters of the 19th century such as Legengre, Gauss, Riemann  and many others.  It continues to taunt the present generation with its vast store of interesting properties and through its ubiquity in Physics, Probability and Number theory.

We follow the historical development of this function taking a look at its properties including its characterizations in particular  Wielandt's beautiful characterization in the complex domain brought in prominence by Remmert and Fuglede's sharpening of Wielandt's theorem.

The talk will be a historical tour through almost three centuries since the birth of this transcendent.

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