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Gosta Mittag-Leffler Jason Gentry

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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Page 1: Jason Gentry.  Mittag-Leffler was born in Stockholm on March 16, 1846Stockholm  Father was a high school teacher/principal  Born in the schoolhouse

Gosta Mittag-LefflerJason Gentry

Page 2: Jason Gentry.  Mittag-Leffler was born in Stockholm on March 16, 1846Stockholm  Father was a high school teacher/principal  Born in the schoolhouse

Life at Home

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

Page 3: Jason Gentry.  Mittag-Leffler was born in Stockholm on March 16, 1846Stockholm  Father was a high school teacher/principal  Born in the schoolhouse

Education

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

Page 4: Jason Gentry.  Mittag-Leffler was born in Stockholm on March 16, 1846Stockholm  Father was a high school teacher/principal  Born in the schoolhouse

Education Travels

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

Page 5: Jason Gentry.  Mittag-Leffler was born in Stockholm on March 16, 1846Stockholm  Father was a high school teacher/principal  Born in the schoolhouse

Member of:

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

Page 6: Jason Gentry.  Mittag-Leffler was born in Stockholm on March 16, 1846Stockholm  Father was a high school teacher/principal  Born in the schoolhouse

Mittag-Leffler Star

Used in Complex MathematicsThe 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

Page 7: Jason Gentry.  Mittag-Leffler was born in Stockholm on March 16, 1846Stockholm  Father was a high school teacher/principal  Born in the schoolhouse

Mittag-Leffler Star Cont.

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

Page 8: Jason Gentry.  Mittag-Leffler was born in Stockholm on March 16, 1846Stockholm  Father was a high school teacher/principal  Born in the schoolhouse

Nobel

Page 9: Jason Gentry.  Mittag-Leffler was born in Stockholm on March 16, 1846Stockholm  Father was a high school teacher/principal  Born in the schoolhouse

Mittag-Leffler VS. Nobel

VS