# phase principle

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## 4 matching pages

##### 1: 1.10 Functions of a Complex Variable

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###### Phase (or Argument) Principle

…##### 2: 3.8 Nonlinear Equations

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►Initial approximations to the zeros can often be found from asymptotic or other approximations to $f(z)$, or by application of the phase principle or Rouché’s theorem; see §1.10(iv).
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##### 3: 10.74 Methods of Computation

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►To ensure that no zeros are overlooked, standard tools are the phase principle and Rouché’s theorem; see §1.10(iv).
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##### 4: Bibliography R

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Principles of Mathematical Analysis.
3rd edition, McGraw-Hill Book Co., New York.
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On Simple Waves with Profiles in the form of some Special Functions—Chebyshev-Hermite, Mathieu, Whittaker—in Two-phase Media.
In Differential Operators and Related Topics, Vol. I (Odessa,
1997),
Operator Theory: Advances and Applications, Vol. 117, pp. 313–322.
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