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Cryo-EM for atomic characterization of supramolecular gels.
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Inequalities for the modified Bessel function of first kind of non-negative order
Journal of Mathematical Analysis and Applications, 2023. Let I ν ( x ) be the modified Bessel function of order ν with real argument x . We present explicit error bounds for the asymptotic expansion of I ν ( x ) with x ≥ 1. Two cases, ν an integer and ν a half-integer are considered separately.
Koustav Banerjee
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On Zeros of the Modified Bessel Function of the Second Kind
Computational Mathematics and Mathematical Physics, 2020The zeros \(\nu_n\) of the modified Bessel function \(K_{i\nu}(x)\) at \textit{fixed} argument \(x>0\) are shown to be countably infinite and simple. By a suitable transformation of the differential equation satisfied by \(K_{i\nu}(x)\) into a one-dimensional Schrodinger equation with an exponential potential, the equation is expressed as a boundary ...
S. Bagirova, A. Khanmamedov
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Monotonicity of some modified Bessel function products
Integral Transforms and Special Functions, 2007Jean-Marc Vanden-Broeck
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Accurate solution for the modified Bessel function of the first kind
Advances in Engineering Software, 1995B. Geelen
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On series representations for modified Bessel function of second kind of integer order
Integral transforms and special functions, 2018The main aim of this paper is to establish two finite sum representation formulae for the modified Bessel function of the second kind of positive integer order : one of them includes among the generalized hypergeometric function and the another which ...
D. Jankov Maširević, T. Pogány
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