Please use this identifier to cite or link to this item: http://prr.hec.gov.pk/jspui/handle/123456789/427
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dc.contributor.authorHaider, Azeem-
dc.date.accessioned2017-11-28T08:56:12Z-
dc.date.available2017-11-28T08:56:12Z-
dc.date.issued2004-
dc.identifier.uri http://prr.hec.gov.pk/jspui/handle/123456789//427-
dc.description.abstractBy means of a sequence S of elements of a field K, we defined a K-algebra KS [[X]] of formal series called Newton interpolating series which generalized the formal power series. We study algebraic properties of this algebra and in the case when S has a finite number of distinct elements we prove that it is isomorphic to a direct sum of a finite number of known algebras. A representation of strictly convergent power series as convergent Newton interpolating series is given. Then this representation is used to study problems of the zeros of strictly convergent power series and to solve an interpolation problem. We also study the problem of the zeros of bounded Newton interpolating series. A method for p-adic analytic continuation by means Newton interpolating series is presented.en_US
dc.description.sponsorshipHigher Education Commission, Pakistan.en_US
dc.language.isoenen_US
dc.publisherGC UNIVERSITY LAHORE, PAKISTANen_US
dc.subjectNatural sciencesen_US
dc.subjectMathematicsen_US
dc.subjectGeneral principles of mathematicsen_US
dc.subjectAlgebraen_US
dc.subjectGeometryen_US
dc.subjectGraphen_US
dc.titleOn the Algebra of Newton Interpolating Series and its Applicationsen_US
dc.typeThesisen_US
Appears in Collections:PhD Thesis of All Public / Private Sector Universities / DAIs.

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