Abstract
The present note aims at providing a systematic investigation of the solution of a certain pair of dual equations involving Fourier-Laguerre series. It exhibits equivalence of the solutions obtained earlier (see [5] and [6]) by using a multiplying factor technique as well as by considering separately the equations when ( i) g( x)≡0, (ii) f( x)≡0, and reducing the problem in each case to that of solving an Abel integral equation. It is also shown how the solution of these dual series equations are affected when the parameters involved are constrained differently.
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