Modified Bessel function Calculator

Calculates the modified Bessel functions of the first kind Iv(x) and the second kind Kv(x), and their derivatives I'v(x) and K'v(x).

 order v real number x complex number 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit
Modified Bessel function
 [1-10] /17 Disp-Num5103050100200
[1]  2020/12/12 20:03   30 years old level / High-school/ University/ Grad student / Very /
Purpose of use
heat transfer fin efficiency for annulus-shaped fins
[2]  2020/10/21 01:54   20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Heat transfer homework
[3]  2019/03/25 23:37   50 years old level / Others / Very /
Purpose of use
Modeling economic growth
Comment/Request
I wondering if the Modified Bessel function calculator is handling negative values for the order incorrectly. I am getting the same answer for v = 1, x = 2 as v = -1, x = 2. But I think these should not be the same.
[4]  2018/11/29 02:54   50 years old level / An engineer / Very /
Purpose of use
Sinusoidal modulation of exponential function around an operating point, for an RF peak detector.
Comment/Request
Saves time. No need to spend \$ on expensive Calculus handbook, nor programming to execute the numeric calculations. Thanks!
[5]  2017/03/26 16:52   30 years old level / An engineer / Very /
Purpose of use
Mean time to cycle slip calculation for first order bit tracking loop
[6]  2015/05/25 15:14   60 years old level or over / A teacher / A researcher / Very /
Purpose of use
Numerical solution of Poisson equation
[7]  2014/09/25 12:39   30 years old level / An engineer / Very /
Purpose of use
Calculation of bias current for a weak-inversion transistor in a crystal oscillator circuit
[8]  2014/09/05 16:36   60 years old level or over / A teacher / A researcher / Very /
Purpose of use
research in pure mathematics
[9]  2013/07/18 11:54   60 years old level or over / High-school/ University/ Grad student / Very /
Purpose of use
Modified Bessel functions for mathematical modelling for Honours School laboratory
[10]  2013/03/21 18:20   50 years old level / A teacher / A researcher / Very /
Purpose of use
Computation of Bessel and Kelvin functions with complex arguments
Comment/Request
It looks great!

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