A note on the mean-square solution of the hypergeometric differential equation with uncertainties
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A note on the mean-square solution of the hypergeometric differential equation with uncertaintiesAutoría
Fecha de publicación
2024-02-06Editor
SpringerCita bibliográfica
Calatayud, J. A note on the mean-square solution of the hypergeometric differential equation with uncertainties. Comp. Appl. Math. 43, 79 (2024). https://doi.org/10.1007/s40314-024-02601-0Tipo de documento
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info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
The Fröbenius method of power series has been applied to several linear random differential equations. The interest relies on the derivation of a closed-form mean-square solution and on the possibility of approximating ... [+]
The Fröbenius method of power series has been applied to several linear random differential equations. The interest relies on the derivation of a closed-form mean-square solution and on the possibility of approximating statistical measures at exponential convergence rate. In this paper, we deal with the hypergeometric differential equation with random coefficients and initial conditions. On the interval (0, 1), random power series centered at the regular singular point 0 are employed, which are given in terms of the hypergeometric function. We find the stochastic basis of mean-square solutions and solve random initial-value problems. The approximation of the expectation and the variance is studied and illustrated computationally. [-]
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MCIN/AEI/10.13039/501100011033 | CRUE-CSIC agreement with Springer Nature
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PID2020-115270GB-I00
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© The Author(s) 2024
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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