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Some Systems of Transcendental Equations [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2022 Several examples of transcendental systems of equations are considered. Since the number of roots of such systems, as a rule, is infinite, it is necessary to study power sums of the roots of negative degree. Formulas for finding residue integrals, their relation to power sums of a negative degree of roots and their relation to residue integrals ...
А. М. Кытманов
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Transcendental equations satisfied by the individual zeros of Riemann $\zeta$, Dirichlet and modular $L$-functions [PDF]
, 2015 We consider the non-trivial zeros of the Riemann $\zeta$-function and two classes of $L$-functions; Dirichlet $L$-functions and those based on level one modular forms.
França, Guilherme, LeClair, André
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Finding of roots of the matrix transcendental characteristic equation using Lambert W function
Lietuvos 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
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On the Integer Solution of the Transcendental Equation
Indian Journal of Advanced Mathematics, 2022 Let C be a positive non-square integer. In this paper, we look at the complete solutions of the Transcendental equation , where 𝒙𝟐−𝑪𝒚𝟐=𝜶𝟐 or 𝟐𝟐𝒕. In addition, we find repeated relationships in the solutions to this figure.
S. Sriram, P Veeramallan
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Analytic solution of transcendental equations [PDF]
International 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
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Classical transcendental solutions of the Painlev\'e equations and their degeneration [PDF]
Tohoku Mathematical Journal, 2003 We present a determinant expression for a family of classical transcendental solutions of the Painlev\'e V and the Painlev\'e VI equation. Degeneration of these solutions along the process of coalescence for the Painlev\'e equations is discussed.Comment:
Masuda, Tetsu
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Transcendental equations of the running coupling [PDF]
, 2019 15 ...
Juuso Österman
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On Transcendental Systems of Equations [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2021 Several types of transcendental systems of equations are considered: the simplest ones, special, and general. Since the number of roots of such systems, as a rule, is infinite, it is necessary to study power sums of the roots of negative degree. Formulas for finding residue integrals, their relation to power sums of a negative degree of roots and their
Kytmanov, Alexander M., Khodos, Olga V.
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Applied 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
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电力工程技术, 2023 The distributed parameter model of the transmission line is a necessary premise for accurately analysing the harmonic instability of the wind farm. However, when the model is used for harmonic instability analysis, it causes difficulties in solving the ...
XU Fangwei +5 more
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