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A Development of Orthogonal Functions as Series Solutions of the Partial Differential Equations of Physics
Kaigh, Irvin
Kaigh, Irvin
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1949
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TETDPDZ201402000009.pdf
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http://dx.doi.org/10.34944/dspace/4091
Abstract
Introduction. Statement of problem: The primary purpose of this study is to indicate the manner in which a Boundary Value problem in Physics leads to the solution in generalized Fourier Series. The conditions to be met in problems of this sort are generally the Partial Differential Equation and several unique physical conditions which are imposed on the distribution sought after. The problem is solved when a mathematical solution of the Differential Equation is found which satisfies all of the restrictions levied by the physical considerations. The secondary purpose of this study is to obtain a view of the generalized problem which leads ultimately to the Sturm-Liouville theory.
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