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On the Expansion of an Arbitrary Function in a Series of Eigenfunctions of Boundary Value Problems II


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1 Madras University, India
     

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Let D be a bounded open domain, simply or multiply connected, whose boundary C is composed of a finite number of regular curves in the x,y plane, and let wn(x,y) be the eigenfunctions (normal and orthogonal) with the corresponding eigenvalues λn > 0, n = 1, 2 , . . . of the boundary value problem.
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  • On the Expansion of an Arbitrary Function in a Series of Eigenfunctions of Boundary Value Problems II

Abstract Views: 209  |  PDF Views: 0

Authors

S. Minakshisundaram
Madras University, India

Abstract


Let D be a bounded open domain, simply or multiply connected, whose boundary C is composed of a finite number of regular curves in the x,y plane, and let wn(x,y) be the eigenfunctions (normal and orthogonal) with the corresponding eigenvalues λn > 0, n = 1, 2 , . . . of the boundary value problem.