On the Local Linearization of Differential Equations1

نویسنده

  • PHILIP HARTMAN
چکیده

If z= —1, (5) reduces to Copson's series. Ramanujan's approximation for S„(l) is, in view of (5), a considerably more singular result than it would otherwise appear. References 1. E. T. Copson, An approximation connected with e~x, Proc. Edinburgh Math. Soc. (2) 3 (1932-33), 201-206. 2. S. Ramanujan, Collected papers, p. 26, Cambridge, 1927. 3. G. Szegö, Über einige von S. Ratnanujan gestellte Aufgaben, J. London Math. Soc. 3 (1928), 225-232. 4. G. N. Watson, Approximations connected with e*, Proc. London Math. Soc. (2) 29 (1928-29), 293-308. University of North Carolina

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تاریخ انتشار 2010