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).

Modified Bessel function
order v
    1. real number
x
    1. complex number

    Modified Bessel function
    [1-10] /17Disp-Num
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    [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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