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Inequalities for the modified Bessel function of first kind of non-negative order

Journal of Mathematical Analysis and Applications, 2023
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Accurate solution for the modified Bessel function of the first kind

Advances in Engineering Software, 1995
Modelling 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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A new numerical algorithm based on the first kind of modified Bessel function to solve population growth in a closed system

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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Algorithm 597

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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Monotonicity of Three Classes of Functions Involving Modified Bessel Functions of the Second Kind

Bulletin of the Iranian Mathematical Society, 2023
Jing-Feng Tian
exaly  

Monotonicity and Inequalities Involving the Modified Bessel Functions of the Second Kind

Journal of Mathematical Analysis and Applications, 2022
Yu-Ming Chu, Zhen-Hang Yang
exaly  

Inequalities for Modified Bessel Functions and Their Integrals

Journal of Mathematical Analysis and Applications, 2014
Robert Edward Gaunt
exaly  

Jordan Type Inequalities Involving the Bessel and Modified Bessel Functions

Computers and Mathematics With Applications, 2010
Ling Zhu
exaly  

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