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 |