Thesis (Ph. D.)--University of Chicago, 1918. / Vita. "Private edition, distributed by the University of Chicago Libraries, Chicago, Illinois." "Reprinted from American journal of mathematics, Vol. XLII, No. 1, January, 1920." Includes bibliographical references. Also available on the Internet.

LD2668 .T4 1940 S52 / Master of Science

Digitized by Kansas Correctional Industries

In this thesis, it is proposed to examine the difference equation:(z-h) ∆-hW(z) = A(z)W(z)(1) where W(z) is a vector with two components,∆-hW(h) = W(z) – W(z-h)/h(2)Here, A(z) is a 2x2 matrix, whose elements admit factorial series representations:A (z) = R + Σ∞s=0 As+1S!/z(z+h) ••• (z+sh)(3)R and As+l are square matrices of order two and independent of z. We also assume that eigen values of R do not differ by an integer. We hope to show that if (3) converges in some half plane, then (1) will have a fundamental matris solution of the form: W(z) = S(z)ZR where S(z) is a 2x2 matrix, whose elements have convergent factorial representation in some half plane.

Thesis (doctoral)--K. Ludwig-Maximilians-Universität zu München, 1913. / Vita.

Thesis (doctoral)--Grossherzoglich Hessische Ludwigs-Universität zu Giessen, 1912. / "Sonderabdruck aus dem 27. Bande der "Mathematischen und Naturwissenschaftlichen Berichte aus Ungarn"--T.p. verso. Vita. Includes bibliographical references.

No description available.

Proefschrift--Utrecht.

Thesis--University of Michigan. / "Presented to the American Mathematical Society, Chicago, April 10, 1936." Includes bibliographical references (p. 21).

Proefschrift--Utrecht.