Results 1 to 10 of about 3,168,134 (332)

Transcendental equation for the Schrödinger equation [PDF]

open access: bronzeMathematics of Computation, 1960
side of eq. (4). The hypergeometric function appearing in eq. (4) can be computed as described above but convergence is slow for values of x close to unity, and in this case it may be desirable to compute the functions differently [4]. A subroutine [5] has been written for the IBM 704 to calculate the toroidal harmonics using the methods described here.
J. R. M. Radok
semanticscholar   +4 more sources

Classical transcendental solutions of the Painlevé equations and their degeneration [PDF]

open access: greenTohoku Mathematical Journal, 2003
We present a determinant expression for a family of classical transcendental solutions of the Painlev V and the Painlev VI equation. Degeneration of these solutions along the process of coalescence for the Painlev equations is discussed.
Tetsu Masuda
core   +8 more sources

Long Short-Term Memory Recurrent Neural Network Approach for Approximating Roots (Eigen Values) of Transcendental Equation of Cantilever Beam

open access: yesApplied Sciences, 2023
In this study, the natural frequencies and roots (Eigenvalues) of the transcendental equation in a cantilever steel beam for transverse vibration with clamped free (CF) boundary conditions are estimated using a long short-term memory-recurrent neural ...
Madiha Bukhsh   +6 more
doaj   +2 more sources

Concerning an analytical solution of some families of Kepler’s transcendental equation

open access: yesAIP Advances, 2016
The problem of finding an analytical solution of some families of Kepler transcendental equation is studied in some detail, by the Special Trans Functions Theory – STFT.
Slavica M. Perovich   +3 more
doaj   +2 more sources

Finding of roots of the matrix transcendental characteristic equation using Lambert W function

open access: diamondLietuvos Matematikos Rinkinys, 2011
The method of finding roots of the matrix transcendental characteristic equation, corresponding to linear matrix differential equation with delayed argument, is analyzed. The examples of the application of the method are presented.
Irma Ivanovienė, Jonas Rimas
doaj   +2 more sources

Analytic solution of transcendental equations [PDF]

open access: goldInternational Journal of Applied Mathematics and Computer Science, 2010
Analytic solution of transcendental equationsA decomposition technique of the solution of ann-th order linear differential equation into a set of solutions of 2-nd order linear differential equations is presented.
Henryk Mikołaj Górecki
openalex   +4 more sources

An Efficient Method to Find Solutions for Transcendental Equations with Several Roots [PDF]

open access: gold, 2015
This paper presents a method for obtaining a solution for all the roots of a transcendental equation within a bounded region by finding a polynomial equation with the same roots as the transcendental equation.
Rogelio Luck   +2 more
openalex   +2 more sources

Algorithm 443: Solution of the transcendental equation we w = x [PDF]

open access: bronzeCommunications of the ACM, 1973
F.N. Fritsch   +2 more
openalex   +2 more sources

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