Results 131 to 140 of about 49,915 (154)

Multiple Orthogonal Polynomials Associated with the Modified Bessel Functions of the First Kind

Constructive Approximation, 2003
In the theory of orthogonality the connection between sequences of orthogonal polynomials (OPS) and the Padé table of rational approximation to a (formal) power series is well known. Already in the days of Ch. Hermite two different types of simultaneous rational `approximation' was known (in connection with transcendence proofs).
Coussement, Els, Van Assche, Walter
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On a second type Neumann series of modified Bessel functions of the first kind

Integral Transforms and Special Functions, 2020
The main aim of this article is to establish a summation formula for the second type Neumann series which members contain a product of two modified Bessel functions of the first kind of not necessarily equal orders and arguments.
Dragana Jankov Maširević, Tibor K. Pogány   +1 more
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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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Bounds for modified Bessel functions of the first and second kinds

Proceedings of the Edinburgh Mathematical Society, 2010
AbstractSome new inequalities for quotients of modified Bessel functions of the first and second kinds are deduced. Moreover, some developments on bounds for modified Bessel functions of the first and second kinds, higher-order monotonicity properties of these functions and applications to a special function that arises in finite elasticity, are ...
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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, J. A. Rad, M. Nikarya
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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 and inequalities involving the modified Bessel functions of the second kind

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

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  

Inequalities for modified Bessel functions and their integrals

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