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The asymptotic development for a certain integral function of zero order

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24 pages
m lAVvTl-XX* 191323UL HE ASYMPTOTIC DEVELOPMENT FOR A CERTAIN INTEGRAL FUNCTION OF ZERO ORDER Of n{£ UNIVfiLiiS«T> BY . CHARLES W. COBB ASSISTANT PROFESSOR OF MATHEMATICS IN AMHERST COLLEGE OF THESIS PRESENTED TO THE FACULTY OF THEPORTION A GRADUATE SCHOOL OF THE UNIVERSITY OF MICHIGAN IN CANDIDACY FOR THE DEGREE OF DOCTOR OF PHILOSOPHY ATPRINTED Nortoootr ^re^g;K\jt NORWOOD, MASS. 1913 THE ASYMPTOTIC DEVELOPMENT FOR A CERTAIN FUNCTION OFINTEGRAL ORDERZERO BY CHARLES W. COBB ASSISTANT PROFESSOR OF MATHEMATICS AMHERST COLLEGEIN THESIS PRESENTED TO THE FACULTY OF THEA PORTION OF A UNIVERSITY OF MICHIGANGRADUATE SCHOOL OF THE CANDIDACY FOR THE DEGREE OFIN PHILOSOPHYDOCTOR OF PRINTED AT , NortoocitiK\it Press NORWOOD, MASS. 1913 %' BIBLIOGRAPHY A Memoir on Integral Functions. Phil.Barnes, E. W. Trans, {k), vol.199. (1902). The Classification of Integral Functions. Camb. Phil. Trans., vol. 19. The Maclaurin Sum Formula. Proc. Lond. Math. Soc, Series 2, vol. 3. The Asymptotic Expansion of Inteo-ral Functions of Finite Non-zero Order. Proc. Land. Math. Soc, Series 2, vol. 3. B, On the Determination of the Asymptotic Develop-Ford, W. ments of a given Function. Annals Math., 2d Series, vol. 11of (1910). Hardy, G. H. On the Function Pp(x). Quarterly Journal, vol. 37 (190.5). LiTTLEWOOD, J. E. On the Asymptotic Approximation to Integral Functions of Zero Order. Proc. Lond. Math. Soc, Series 2, vol. 5 (1907).
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