2006
DOI: 10.1016/j.jat.2005.09.013
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Otto Blumenthal (1876–1944) in retrospect

Abstract: This paper treats in detail the life and work of Otto Blumenthal, one of the most tragic figures of the 188 emigré mathematicians from Germany and the Nazi-occupied continent. Blumenthal, the first doctoral student of David Hilbert, was crucial in the publication and communication system of German mathematics between the two World Wars. There has been an unusual revival of interest in his mathematical work in the last three decades. Thus his work on orthogonal polynomials whose zeros are dense in intervals, ca… Show more

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Cited by 10 publications
(12 citation statements)
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“…As in [14, §3], we can establish by induction on s that all series on the right-hand side of (11) converge for every fixed value of n with n ν 1 , where ν 1 is defined in (5), in view of condition (2). More, it can be proved that E s (n) f s for n ν 1 , the sequence of constants {f s } ∞ s=0 being recursively defined by…”
Section: Proof Looking For a Solution Of The Formmentioning
confidence: 90%
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“…As in [14, §3], we can establish by induction on s that all series on the right-hand side of (11) converge for every fixed value of n with n ν 1 , where ν 1 is defined in (5), in view of condition (2). More, it can be proved that E s (n) f s for n ν 1 , the sequence of constants {f s } ∞ s=0 being recursively defined by…”
Section: Proof Looking For a Solution Of The Formmentioning
confidence: 90%
“…for every S > 1 and k > ν 1 , since V n decreases with n. The last term on the right-hand side of (16) is summable (as a function of k) by condition (2). An estimate can also be obtained for the first differences, E n .…”
Section: Proof Looking For a Solution Of The Formmentioning
confidence: 98%
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“…Recent studies concerned the life and work of Otto Blumenthal [30] and Herbert Raabe's work in multiplex signal transmission [11]. Together with Jean Mawhin we are now completing vol.…”
Section: History Of Mathematics and Conclusionmentioning
confidence: 99%
“…The couple were victims of the Nazi Holocaust. 7 Wilhelm's son Erich, born in 1880, was a doctor, a collector, a bibliophile, and the author of more than 500 publications on the histories of medicine and literature. He and his wife had 2 children.…”
Section: Subsequent Historymentioning
confidence: 99%