Universitätsbibliothek Heidelberg
https://www.hadw-bw.de/nutzungsbedingungen-der-daten-und-digitalisate
https://www.hadw-bw.de/nutzungsbedingungen-der-daten-und-digitalisate
Sitzungsberichte der Heidelberger Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse: Abteilung A, Mathematisch-physikalische Wissenschaften: Über lineare Differenzengleichungen zweiter Ordnung, deren charakteristische Gleichung zwei gleiche Wurzeln hat
Über lineare Differenzengleichungen zweiter Ordnung, deren charakteristische Gleichung zwei gleiche Wurzeln hat
Perron
Oskar
Perron, Oskar
aut
Heidelberg
1917
1917
[Electronic ed.]
Universitätsbibliothek Heidelberg
reformatted digital
20 S.
ger
de
Sitzungsberichte der Heidelberger Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse
Abteilung A, Mathematisch-physikalische Wissenschaften
Heidelberger Akademie der Wissenschaften / Mathematisch-Naturwissenschaftliche Klasse
Heidelberger Akademie der Wissenschaften / Mathematisch-Naturwissenschaftliche Klasse
edt
10.11588/diglit.36402
urn:nbn:de:bsz:16-diglit-346321
1917, 17. Abhandlung
Sitzungsberichte der Heidelberger Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse
UBHD
UBHD
Druckschriften
druckschriften
Heidelberger Akademieschriften
sammlung71
Universitätsbibliothek Heidelberg
H 95-6::Math-nat: 8A
https://digi.hadw-bw.de/view/sbhadwmnkl_a_1917_17
1655555375
urn:nbn:de:bsz:16-diglit-364028
urn:nbn:de:bsz:16-diglit-364028
10.11588/diglit.36402
text
Sitzungsberichte der Heidelberger Akademie der Wissenschaften, Mathematisch-Naturwissenschaftliche Klasse: Abteilung A, Mathematisch-physikalische Wissenschaften: Über lineare Differenzengleichungen zweiter Ordnung, deren charakteristische Gleichung zwei gleiche Wurzeln hat
Sammlung71 - Heidelberger Akademieschriften
HASH(0x55619dd4a100)
Text
urn:nbn:de:bsz:16-diglit-346321
https://digi.hadw-bw.de/view/iiif/sbhadwmnkl_a_1917_17/manifest.json
sbhadwmnkl_a_1917_17
36402
https://digi.ub.uni-heidelberg.de/diglitData/introimage/sbhadwmnkl_a_1917_17.jpg
druck
71
view
digi.hadw-bw.de
freier_Zugang_Rechte_vorbehalten_hadw
UB+HADW
0
0
Titelblatt
text
§ 1.
3-5
text
§ 2.
5-8
text
§ 3.
8-12
text
§ 4.
12-20
text
Maßstab/Farbkeil
text
Universitätsbibliothek Heidelberg
https://digi.ub.uni-heidelberg.de/diglitData/image/logo-dfgviewer.gif
https://www.ub.uni-heidelberg.de/
https://katalog.ub.uni-heidelberg.de/cgi-bin/search.cgi?query=si%3A1655555375+-(teil:ezblf)&pos=1
https://digi.hadw-bw.de/view/sbhadwmnkl_a_1917_17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/9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAQDAwQDAwQEBAQFBQQFBwsHBwYGBw4KCggLEA4RERAO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