Rit (Vísindafélag Íslendinga) - 01.06.1951, Blaðsíða 121
REFERENCES.
1) p. 3.
2) p. 3.
3) p. 3.
Asymptotic Solutions of Differential Equations, by
Thorkell Thorkelsson, Societas Scientiarum Island-
ica, XXVII, 1946, p. 38.
Divergent Power Series by Thorkell Thorkelsson,
Soc. Sci. Isl. XVII, 1934, p. 13.
Greinar I, Soc. Sci. Isl. (1937), p. 94, and 1940,
p. 177, The conversion formula runs as follows: —
i dnz<> \ dnyo „____, 0 o
dxn fW' o,1,2,3....
then
*=Ao)y+ ^(/(0-/(o))-g-
+ |(/(2)-2/(l)+/(o))g
+ (/(3)-3/(2) + 3/(1)-/(o))-|£- + ....
4) p. 3. Divergent Power Series, p. 26, and Asympotic Sol.
of Diff. Equations, p. 38.
p. 24. N. E. Nörlund, Differenzenrechnung, Berlin, 1924,
p. 261.
5) p. 35. Emile Borel, Legons sur les Series Divergentes,
Paris, 1928, p. 122.
6) p. 35. Harold T. Davis, The Theory of Linear Operators,
Bloominton, Indiana, 1936, p. 60.
7) p. 36. Thorkell Thorkelsson, A Group of Asymptotic
Series, Greinar I, 1940, (Soc. Scient. Islandica),
p. 189.