# Modified Bessel function of the 1st kind (chart) Calculator

## Calculates a table of the modified Bessel function of the first kind Iv(x) and draws the chart.

order v
 real number
[ initial value x
increment
 repetition ]
 $\normal Modified\ Bessel\ function\\\hspace{130} of\ the\ 1st\ kind\ I_\nu(x)\\[10](1)\ x^2y''+xy'-(x^2+\nu^2)y=0\\\hspace{25} y=I_\nu(x)\\[10](2)\ I_\nu(x)={\large\sum_{\small k=0}^{\small\infty}\frac{1}{k!\Gamma(k+\nu+1)}(\frac{x}{2})^{\nu+2k}}\\(3)\ {\large e^{\frac{x}{2}(t+{\large\frac{1}{t}})}}={\large\sum_{\small n=-\infty}^{\small\infty}}I_n(x)t^n,\hspace{20} n=integer\\$

Sending completion

To improve this 'Modified Bessel function of the 1st kind (chart) Calculator', please fill in questionnaire.
Male or Female ?
Male Female
Age
Under 20 years old 20 years old level 30 years old level
40 years old level 50 years old level 60 years old level or over
Occupation
Elementary school/ Junior high-school student
High-school/ University/ Grad student A homemaker An office worker / A public employee
Self-employed people An engineer A teacher / A researcher
A retired people Others
Useful?
Very Useful A little Not at All
Purpose of use?