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Accurate solution for the modified Bessel function of the first kind
Advances in Engineering Software, 1995Modelling of stochastic noise processes and physical systems frequently require the determination of the modified Bessel function of the first kind for positive integer orders. Precise and efficient evaluation of this function is described. Orders zero and one are solved over a wide range of argument using a convergent power and asymptotic series ...
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International Journal of Computer Mathematics, 2014
Volterra's model for population growth in a closed system includes an integral term to indicate accumulated toxicity in addition to the usual terms of the logistic equation. In this research, a new numerical algorithm is introduced for solving this model. The proposed numerical approach is based on the modified Bessel function of the first kind and the
K. Parand 0001 +2 more
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Volterra's model for population growth in a closed system includes an integral term to indicate accumulated toxicity in addition to the usual terms of the logistic equation. In this research, a new numerical algorithm is introduced for solving this model. The proposed numerical approach is based on the modified Bessel function of the first kind and the
K. Parand 0001 +2 more
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ACM Transactions on Mathematical Software, 1983
This FORTRAN subroutine calculates sequences of modified Bessel functions of the first kind, I/sub n+a/(x), n = 0, 1, ..., NB - 1 or e/sup -x/I/sub n+a/(x), n = 0, 1, ..., NB - 1, where 0 less than or equal to a < 1, and 0 less than or equal to x less than or equal to EXPARG or 0 less than or equal to x less than or equal to XLARGE, as appropriate. The
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This FORTRAN subroutine calculates sequences of modified Bessel functions of the first kind, I/sub n+a/(x), n = 0, 1, ..., NB - 1 or e/sup -x/I/sub n+a/(x), n = 0, 1, ..., NB - 1, where 0 less than or equal to a < 1, and 0 less than or equal to x less than or equal to EXPARG or 0 less than or equal to x less than or equal to XLARGE, as appropriate. The
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Monotonicity and inequalities involving the modified Bessel functions of the second kind
Journal of Mathematical Analysis and Applications, 2022Yuming Chu, Zhen-Hang Yang
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Monotonicity of Three Classes of Functions Involving Modified Bessel Functions of the Second Kind
Bulletin of the Iranian Mathematical Society, 2023Jing-Feng Tian, Zhong-Xuan Mao
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Discrete index transforms with Bessel and modified Bessel functions
Analysis (Germany), 2022Semyon Yakubovich
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Inequalities for modified Bessel functions and their integrals
Journal of Mathematical Analysis and Applications, 2014Robert Gaunt
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Jordan type inequalities involving the Bessel and modified Bessel functions
Computers and Mathematics With Applications, 2010Ling Zhu
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