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

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Authors

  • Madras University ,IN

DOI:

https://doi.org/10.18311/jims/1941/17205

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.