Results 131 to 140 of about 49,816 (162)

(p, q)-Extended Bessel and Modified Bessel Functions of the First Kind

Results in Mathematics, 2017
Inspired by certain recent extensions of the Euler's beta, Gauss hypergeometric and confluent hypergeometric functions [1], we introduce (p, q)- extended Bessel function J_{; ; ; \nu, p, q}; ; ; , the (p, q)- extended modified Bessel function I_{; ; ; ; \nu, p, q}; ; ; ; of the first kind of order \nu by making use two additional parameters in the ...
Jankov Maširević, Dragana, Parmar, Rakesh K., Pogány, Tibor K.   +2 more
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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, Walter Van Assche
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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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Geometric Properties of the Products of Modified Bessel Functions of the First Kind

Bulletin of the Malaysian Mathematical Sciences Society, 2021
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Khaled Mehrez, Sourav Das, Anish Kumar
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Inequalities for the modified Bessel function of first kind of non-negative order

Journal of Mathematical Analysis and Applications, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Double precision FORTRAN subroutines to compute both ordinary and modified bessel functions of the first kind and of integer order with arbitrary complex argument: Jn(x + jy) and On(x + jy)

Journal of Computational Physics, 1971
Henry A. Scarton
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Tables of Modified Quotients of Bessel Functions of the First Kind for Real and Imaginary Arguments

Physics Today, 1959
Morio Onoe, J. Gillis
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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, J.A. Rad, M. Nikarya
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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
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