Abstract

In his work on sub-surface electrical measurements Buckner (1954) makes extensive use of a series defined by:  
GA(x)=n=1A2nx+2n,|A|<1.

The purpose of this note is to:

  • (a) derive a simple closed form for GA(X),

  • (b) obtain a recursion formula for this function,

  • (c) remove the restriction that the material above and below the intermediate bed be of the same resistivity.

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