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The Zeros of P′nι(x0) of Non‐Integral Degree

dc.contributor.authorSiegel, K M.en_US
dc.contributor.authorCrispin, J. W.en_US
dc.contributor.authorKleinman, R. E.en_US
dc.contributor.authorHunter, H. E.en_US
dc.date.accessioned2015-10-07T20:43:16Z
dc.date.available2015-10-07T20:43:16Z
dc.date.issued1952-04en_US
dc.identifier.citationSiegel, K M.; Crispin, J. W.; Kleinman, R. E.; Hunter, H. E. (1952). "The Zeros of P′nι(x0) of Non‐Integral Degree." Journal of Mathematics and Physics 31(1): 170-179.en_US
dc.identifier.issn0097-1421en_US
dc.identifier.issn1467-9590en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/113770
dc.publisherWillow Run Research Center, University of Michiganen_US
dc.publisherWiley Periodicals, Inc.en_US
dc.titleThe Zeros of P′nι(x0) of Non‐Integral Degreeen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumWillow Run Research Center of University of Michiganen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/113770/1/sapm1952311170.pdf
dc.identifier.doi10.1002/sapm1952311170en_US
dc.identifier.sourceJournal of Mathematics and Physicsen_US
dc.identifier.citedreferenceP. A. Carrus and C. G. Treuensfels, “ Tables of Roots and Incomplete Integrals of Associated Legendre Functions of Fractional Orders.” Journal of Mathematics and Physics, Vol. XXIX No. 4, January 1951.en_US
dc.identifier.citedreferenceK. M. Siegel, D. M. Brown, H. E. Hunter, H. A. Alperin, C. W. Quillen, “ The Zeros of the Associated Legendre Functions of Non-integral Degree,” Willow Run Research Center, University of Michigan, April, 1951.en_US
dc.identifier.citedreferenceE. W. Hobson, “ The Theory of Spherical and Ellipsoidal Harmonics, Cambridge University Press, 1931.en_US
dc.identifier.citedreferenceW. Magnus & F. Oberhettinger, “ Formulas and Theorems for the Special Functions of Mathematical Physics,” Chelsea Publishing Company, New York, 1949.en_US
dc.identifier.citedreferenceH. M. MacDonald, “ Zeros of Spherical Harmonic Considered as a Function of n,” Proceedings of London Mathematical Society, No. I, Vol. XXXI ( 1900 ).en_US
dc.identifier.citedreferenceS. A. Schelkunoff, “ Theory of Antennas of Arbitrary Size and Shape,” Proceedings of IRE, Vol. 29, 1941.en_US
dc.identifier.citedreferenceS. D. Hamren, “ Scattering from Spheres,” Institute of Engineering Research, University of California, June, 1950.en_US
dc.identifier.citedreference“Tables of Functions of First and Second Partial Derivatives of Legendre Polynomials,” Engineering Research Institute, University of Michigan, November, 1951.en_US
dc.identifier.citedreferenceR. N. Hall, “ The Application of Nonȁintegral Legendre Functions to Potential Problems,” Journal of Applied Physics, Vol. 20, October 1949.en_US
dc.identifier.citedreferenceOberhettinger and Magnus, “ Anwendung Der Elliptischen Functionen in Physik und Technik,” Julius Springer, Berlin, 1949.en_US
dc.identifier.citedreferenceK. M. Siegel and H. Alperin, “Scattering by a Semi‐infinite Cone,” Willow Run Research Center, University of Michigan, UMM‐87, to be published.en_US
dc.identifier.citedreferenceS. A. Schelkunoff, “ Electromagnetic Waves,” D. Van Nostrand, Inc. New York, 1943.en_US
dc.identifier.citedreferenceJahnke & Emde, “ Tables of Functions with Formulae and Curves,” Dover Publications, New York, 1945.en_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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