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The Solution of Algebraic and Transcendental Equations by Iteration

The Mathematical Gazette, 1953
AbstractThis note gives a general 2nd order solution, with the corresponding 3rd order correction, by means of which a good numerical answer can be obtained from an approximate estimate in one operation, and results of high accuracy by one or two iterations.
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Transcendental solutions of diophantine equations

Functional Analysis and Its Applications, 1989
See the review in Zbl 0665.30031.
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Transcendental equation solver: A novel neural network for solving transcendental equation

Applied Soft Computing, 2022
Jingyi Liu   +5 more
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Some Transcendental Equations with Trigonometric and Hyperbolic Functions

Lobachevskii Journal of Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Explicit Formulae for the Roots of a Class of Transcendental Equations

IMA Journal of Applied Mathematics, 1985
In section 2 of this interesting paper explicit formulae are given for the roots of the transcendental equations \[ s+\gamma k_{\nu}(s^{1/2})=0\quad and\quad s+2\alpha (\beta /4s)^{\nu /2} k_{\nu}(\beta^{1/2}s^{1/2})=0 \] where \(k_{\nu}\) is the modified Bessel function of the second kind of non-negative real order \(\nu\) and \(\gamma\), \(\alpha\), \
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