Mittag-Leffler Star

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Jason Gentry
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Mittag-Leffler was born in Stockholm on
March 16, 1846
Father was a high school teacher/principal
Born in the schoolhouse where his father
taught
Sister was writer
Only one to add his mother’s maiden name,
Mittag, to his name
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Entered Uppsala University in 1865, studying
mathematics
Appointed as a Docent in 1872
Was endowed with a conditional salary:
studying abroad for three years
Left for Paris in October 1873
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Main goal of the Paris trip was to learn from
Hermite.
Went to Berlin in the spring of 1875
While in Berlin, attended Weierstrass’
lectures
Appointed to a chair at the University of
Helsinki in 1876
5 years later, returned home to become the
first holder of the mathematics chair at
Stockholm University
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Royal Swedish Academy of Sciences
Finnish Society of Sciences and Letters
Royal Swedish Society of Sciences in Uppsala
Royal Physiographic Society in Lund
Royal Society of London
Academie des Sciences in Paris
Held honorary doctorates from several
universities, including Oxford
Used in Complex
Mathematics
The Mittag-Leffler star of
a complex-analytic
function is a set in the
complex plane.
Obtained by extending a
function along rays
coming from a given point
A complex-analytic function f defined around
some point a can be expanded in a series of
polynomials which is convergent in the MittagLeffler star.
 Each of the polynomials is a linear combination
of the first several terms in the Taylor series
expansion of function f around a point a.
 The Mittag-Leffler expansion of function f is
convergent in a larger set than the Taylor series
of f
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http://www.gapsystem.org/~history/Biographies/MittagLeffler.html
http://en.wikipedia.org/wiki/Mittag-Leffler_star
http://mathforum.org/social/articles/ross.html
http://en.wikipedia.org/wiki/G%C3%B6sta_MittagLeffler
http://en.wikipedia.org/wiki/Stockholm
http://media-2.web.britannica.com/ebmedia/77/37777-004-8B55AC29.jpg
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