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	ns3:creator	<https://jpsearch.go.jp/entity/ncname/Shapiro_Boris_1957-_,_Stockholms_universitet,_Matematiska_institutionen> ,
		<https://jpsearch.go.jp/entity/ncname/Tater_Milos_,_Department_of_Theoretical_Physics,_Nuclear_Physics_Institute,_Academy_of_Sci-_ences,_2-g3994959540> ,
		<https://jpsearch.go.jp/entity/ncname/TAKEMURA_KOUICHI_,_Department_of_Mathematical_Sciences,_Yokohama_City_University,_22-2_Seto,_Kanazaw-g2693584591> ;
	ns3:dateCreated	"2001-2100" ;
	ns3:description	"europeanaCollectionName: 9200111_Ag_EU_TEL_a1041_EuropeanaLibraries" ,
		"Creator: TAKEMURA KOUICHI , Department of Mathematical Sciences, Yokohama City University, 22-2 Seto, Kanazawa- ku, Yokohama 236-0027, Japan." ,
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		"Description: <p>The well-known Heun equation has the form</p><p>\uF6BEQ(z)</p><p>d2</p><p>dz2 + P(z)</p><p>d</p><p>dz</p><p>+ V (z)ffS(z) = 0,</p><p>where Q(z) is a cubic complex polynomial, P(z) and V (z) are polynomials of</p><p>degree at most 2 and 1 respectively. One of the classical problems about the</p><p>Heun equation suggested by E. Heine and T. Stieltjes in the late 19-th century</p><p>is for a given positive integer n to find all possible polynomials V (z) such that</p><p>the above equation has a polynomial solution S(z) of degree n. Below we</p><p>prove a conjecture of the second author, see [17] claiming that the union of</p><p>the roots of such V (z)\u2019s for a given n tends when n ! 1 to a certain compact</p><p>connecting the three roots of Q(z) which is given by a condition that a certain</p><p>natural abelian integral is real-valued, see Theorem 2.</p><p>\u00A0</p>" ;
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	ns3:name	"ON SPECTRAL POLYNOMIALS OF THE HEUN EQUATION. II"@en ;
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