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Note on Asymptotic Expansions of Modified Bessel Functions

Journal of the Society for Industrial and Applied Mathematics, 1961
In a recent paper the author [1] extended an early result of Stieltjes, as an aid in the calculation of Bessel functions of orders 0 and 1 from their truncated asymptotic expansions. It is the purpose of this short note to extend these results to include modified Bessel functions.
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Modified Bessel Functions

2019
Julian Schwinger   +3 more
openaire   +1 more source

Mathematical Software for Modified Bessel Functions

2014
The high-quality mathematical software for the computation of modified Bessel functions of the second kind with integer, imaginary and complex order and real argument is elaborated. The value of function may be evaluated with high precision for given value of the independent argument x and order r.
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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  

Convexity and concavity of the modified Bessel functions of the first kind with respect to Hölder means

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2020
Tie-Hong Zhao, Yu-Ming Chu
exaly  

Inequalities for modified Bessel functions and their integrals

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

Modified Bessel Functions

Julian Schwinger, Kimball A. Milton
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