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Algebraic Properties of Entire Functions with Coefficients in Particular Valued Fields

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dc.contributor.author Khan, Sardar Mohib Ali
dc.date.accessioned 2017-11-28T09:02:35Z
dc.date.accessioned 2020-04-14T19:45:04Z
dc.date.available 2020-04-14T19:45:04Z
dc.date.issued 2004
dc.identifier.uri http://142.54.178.187:9060/xmlui/handle/123456789/8203
dc.description.abstract The study of entire functions is of central importance in complex function theory. We consider the ring of entire functions either on subfields of C or on some subfields of Cp . By using a technique based on admissible filters we study the ideal structure of the ring of entire functions. Then we prove the B ́zout property for the ring of entire e functions over Cp independent of Mittag-Leffler theorem. An important problem in complex function theory is to find an entire function from its values on a given sequence. By means of so-called Newton entire functions we solve a series of interpolation problems. Then we obtain a general result which implies the results of P ́lya and Gel’fond on the entire functions which are polynomials. We o prove a similar result for the entire functions f such that f (D) ⊂ D, where D is a particular bounded set. As an application we replace the use of power series for the initial value problems for ODE’s with Newton series for boundary value problems. en_US
dc.description.sponsorship Higher Education Commission, Pakistan. en_US
dc.language.iso en en_US
dc.publisher GC UNIVERSITY LAHORE, PAKISTAN en_US
dc.subject Natural Sciences en_US
dc.title Algebraic Properties of Entire Functions with Coefficients in Particular Valued Fields en_US
dc.type Thesis en_US


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