Results 71 to 80 of about 49,915 (154)

Reflection formulas for order derivatives of Bessel functions

open access: yes, 2018
From new integral representations of the $n$-th derivative of Bessel functions with respect to the order, we derive some reflection formulas for the first and second order derivative of $J_{\nu }\left( t\right) $ and $% Y_{\nu }\left( t\right) $ for ...
González-Santander, J. L.
core  

On Finite and Infinite Sums of the Modified Bessel Function of the First Kind

open access: yesMediterranean Journal of Mathematics
Abstract This paper derives novel finite-sum expressions for the modified Bessel function of the first kind using properties of the Marcum Q function. Limits to infinite sums give expressions that are equivalent but frequently more compact when compared with results in the ...
openaire   +1 more source

Efficient Calculation of Modified Bessel Functions of the First Kind, $I_ν (z)$, for Real Orders and Complex Arguments: Fortran Implementation with Double and Quadruple Precision

open access: yesCoRR
We present an efficient self-contained algorithm for computing the modified Bessel function of the first kind $I_ν(z)$, implemented in a robust Fortran code supporting double and quadruple (quad) precision. The algorithm overcomes the limitations of Algorithm 644, which is restricted to double precision and applies overly conservative underflow and ...
Mofreh R. Zaghloul, Steven G. Johnson
openaire   +2 more sources

Floquet angular modulation for 6G systems. [PDF]

open access: yesSci Rep
Hamdi B   +7 more
europepmc   +1 more source

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