The Summation of Series Involving Roots of Transcendental Equations and Related Applications
M. R. Speigel · Journal of Applied Physics · 1953
The summation of series involving the roots of certain transcendental equations having real roots is achieved by elementary considerations. The method is illustrated by several examples representative of those which may arise in applications. In addition to summing series, the method can be used to obtain the least positive root of the transcendental equation to any desired accuracy with but little computation.