Article ID: CBB000933527

The Research on Emile Borel's Work Relative to Function Singularities (2008)

unapi

Wang, Quanlai (Author)


Ziran Kexueshi Yanjiu (Studies in the History of Natural Sciences)
Volume: 27
Pages: 236--248


Publication Date: 2008
Edition Details: [Translated title.] In Chinese.
Language: Chinese

Abstract It is important to study the function singularities by Taylor's development in the theory of analytic continuation. This paper analyzes E. Borel's work relative to the research on that Hadamard theorem of the multiplication of function singularities and Taylor's series generelly considers its convergent circle as the cut secant. They are not studied in the history of mathematics at present. The paper discusses the background, the development of his idea and the influence of his theory on other mathematicians at that time.

...More
Citation URI
https://data.isiscb.org/isis/citation/CBB000933527/

Similar Citations

Article Loredana Biacino; (2018)
The Concept of Function at the Beginning of the 20th Century: A Historiographical Approach (/isis/citation/CBB435431910/)

Article Bråting, Kajsa; (2007)
A New Look at E.G. Björling and the Cauchy Sum Theorem (/isis/citation/CBB000720350/)

Article Mazliak, Laurent; (2010)
Borel, Fréchet, Darmois: La découverte des statistiques par les probabilistes français (/isis/citation/CBB001024451/)

Article Barberousse, Anouk; (2008)
La valeur de la connaissance approchée. L'épistémologie de l'approximation d'Émile Borel (/isis/citation/CBB000930660/)

Article Wang, Quanlai; (2009)
The Research on Emile Borel's Work Relative to Theory of Zero Measure Set (/isis/citation/CBB000933758/)

Article Siegmund-Schultze, Reinhard; (2009)
The Institute Henri Poincaré and Mathematics in France between the Wars (/isis/citation/CBB000954527/)

Book Volterra, Vito; Mazliak, Laurent; Tazzioli, Rossana; (2009)
Mathematicians at War: Volterra and His French Colleagues in World War I (/isis/citation/CBB001251203/)

Article Español González, Luis; Fernández Moral, Emilio; (2008)
Euler, Rey Pastor y la sumabilidad de series (/isis/citation/CBB000933321/)

Article Rybnikov, K. A.; (2003)
Iz istorii matematicheskoi teorii igr (/isis/citation/CBB000321063/)

Article Izabela Jóźwik; Lech Maligranda; Małgorzata Terepeta; (2019)
Stefan Kempisty (1892–1940) (/isis/citation/CBB716134567/)

Article Rao, K. Srinivasa; Berghe, G. Vanden; (2003)
Gauss, Ramanujan and Hypergeometric Series Revisited (/isis/citation/CBB000774902/)

Article Sar, Satyabachi; (2012)
A Glimpse of Some Results of Ramanujan (/isis/citation/CBB001253120/)

Article Gao, Jin-hai; (2002)
K. T. Wang and the Differentiation of Quaternion Functions (/isis/citation/CBB000340066/)

Article Guo, Jinhai; (2014)
William Fogg Osgood and the Dissemination of Theories of Functions in China (/isis/citation/CBB001214103/)

Article Maurey, Bernard; Tacchi, Jean-Pierre; (2005)
La genèse du théorème de recouvrement de Borel (/isis/citation/CBB000651443/)

Article Borovik, Alexandre; Katz, Mikhail G.; (2012)
Who Gave You the Cauchy-Weierstrass Tale? The Dual History of Rigorous Calculus (/isis/citation/CBB001252708/)

Article Zangwill, Andrew; (2013)
Hartree and Thomas: The Forefathers of Density Functional Theory (/isis/citation/CBB001211766/)

Article Knobloch, Eberhard; (2008)
Euler Transgressing Limits: The Infinite and Music Theory (/isis/citation/CBB000933314/)

Article Nicola M. R. Oswald; (2017)
On a Relation Between Modular Functions and Dirichlet Series: Found in the Estate of Adolf Hurwitz (/isis/citation/CBB449429999/)

Authors & Contributors
Mazliak, Laurent
Maligranda, Lech
Terepeta, Małgorzata
Jóźwik, Izabela
Sar, Satyabachi
Oswald, Nicola M. R.
Concepts
Mathematics
Functions (mathematics)
Sequences and series (mathematics)
Probability and statistics
Mathematics education
Approximation
Time Periods
20th century, early
19th century
20th century
18th century
Places
France
China
Poland
Italy
India
Institutions
Institut Henri Poincaré (France)
Imperial University of Peking
Comments

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment