Question

How to find the interval for the transcendental equation

Answer 1

Answer:

Suppose is a transcendental function with roots within an interval of width and center such that . Let be an th-order polynomial with roots located at exactly the same locations as the roots of in the interval . The ratio is an analytic function in the interval because the poles of in the interval are cancelled out by the roots of . The next step in the analysis is to normalize the variable of interest.

Answer 2

Transcendental equations are equations containing transcendental functions, i.e. functions which are not algebraic. An algebraic function is a function that satisfies a polynomial equation whose terms are themselves polynomials with rational coefficients.