Meromorphic functions with sectors free of zeros and poles

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040 ‡aDTICE ‡beng ‡cDTICE ‡dOCLCQ ‡dTRAAL
049 ‡aMAIN
086 0 ‡aD 301.45/222
100 1 ‡aHellerstein, Simon, ‡eauthor.
245 1 0 ‡aMeromorphic functions with sectors free of zeros and poles / ‡cSimon Hellerstein.
264 1 ‡aWashington, D.C. : ‡bMathematical Sciences Directorate, Air Force Office of Scientific Research, ‡c1961/
300 ‡a15 pages ; ‡c28 cm
336 ‡atext ‡btxt ‡2rdacontent
337 ‡aunmediated ‡bn ‡2rdamedia
338 ‡avolume ‡bnc ‡2rdacarrier
490 0 ‡aAir Force Office of Scientific Research ; ‡vAFOSR 222.
500 ‡aContract No. AF 49 (638)-571.
500 ‡aJanuary, 1961.
504 ‡aIncludes bibliographic references.
506 ‡aAPPROVED FOR PUBLIC RELEASE.
520 3 ‡aLet f(z) be a meromorphic function which is not a polynomial. Assume that all the zeros and poles of f lie on the real axis. Let (>0) be given and denote by n (r, k) the number of zeros of fe U., N.Y. MEROMORPHIC FUNCTIONS WITH SECTORS FREE OF ZEROS AND POLES, by Simon Hellerstein. Jan 61, 15p. (Contract AF 49(638)571) (AFOSR-222)Unclassified report DESCRIPTORS: *Mathematics, *Functions. Let f(z) be a meromorphic function which is not a polynomial. Assume that all the zeros and poles of f lie on the real axis. Let (>0) be given and denote by n (r, k) the number of zeros of f(k)(z) (taking multiplicities into account) which lie in the disk z r and outside the angles -
538 ‡aMode of access: Internet.
650 0 ‡aMathematics.
650 0 ‡aFunctions.
710 1 ‡aUnited States. ‡bAir Force. ‡bOffice of Scientific Research.
730 0 ‡aTechnical Report Archive & Image Library (TRAIL)
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