Jason Gentry.  Mittag-Leffler was born in Stockholm on March 16, 1846Stockholm  Father was a high school teacher/principal  Born in the schoolhouse.

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Presentation transcript:

Jason Gentry

 Mittag-Leffler was born in Stockholm on March 16, 1846Stockholm  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

 Entered Uppsala University in 1865, studying mathematicsUppsala University  Appointed as a Docent in 1872  Was endowed with a conditional salary: studying abroad for three years  Left for Paris in October 1873

 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

 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 Mittag- Leffler 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

 system.org/~history/Biographies/Mittag- Leffler.html system.org/~history/Biographies/Mittag- Leffler.html    Leffler Leffler   media/77/ B55AC29.jpg media/77/ B55AC29.jpg