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dc.contributor.advisorDeeter, Charles
dc.contributor.authorDaneshi, Taherehen_US
dc.date.accessioned2019-10-11T15:11:02Z
dc.date.available2019-10-11T15:11:02Z
dc.date.created1981en_US
dc.date.issued1981en_US
dc.identifieraleph-254635en_US
dc.identifier.urihttps://repository.tcu.edu/handle/116099117/33835
dc.description.abstractA quotient field of monodiffric functions in the first quadrant is set up. With the aid of the elements of this field, called operators, monodiffric differential forms are converted into algebraic forms. The result is a solution to ordinary monodiffric differential equations by operators. Laplace transforms of monodiffric functions are introduced and developed and the concept of Fourier transform is defined. Laplace transforms not only provide a method for solving monodiffric differential equations, but also can be used for extension of a monodiffric function to the whole plane. A direct method analogous to that of continuous theory for solving monodiffric differential equations is developed. The theory of k-th roots of a monodiffric function on the whole complex plane is introduced and regions of existence of the k-th roots of any monodiffric function are given.
dc.format.extentiv, 90 leaves, bound : illustrationsen_US
dc.format.mediumFormat: Printen_US
dc.language.isoengen_US
dc.relation.ispartofTexas Christian University dissertationen_US
dc.relation.ispartofAS38.D356en_US
dc.subject.lcshDifferential equationsen_US
dc.subject.lcshK-theoryen_US
dc.titleMonodiffric differential equations and K-th roots of monodiffric functionsen_US
dc.typeTexten_US
etd.degree.departmentDepartment of Mathematics
etd.degree.levelDoctoral
local.collegeCollege of Science and Engineering
local.departmentMathematics
local.academicunitDepartment of Mathematics
dc.type.genreDissertation
local.subjectareaMathematics
dc.identifier.callnumberMain Stacks: AS38 .D356 (Regular Loan)
dc.identifier.callnumberSpecial Collections: AS38 .D356 (Non-Circulating)
etd.degree.nameDoctor of Philosophy
etd.degree.grantorTexas Christian University


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