Home
/ Special Function
/ Kelvin function

Derivative Kelvin function of the 3rd kind (chart)

Calculates a table of the derivative Kelvin functions of the third kind her'_v(x) and hei'_v(x) and draws the chart.

order v

real number

[ initial value x

increment

repetition

]

x	her'_v(x)	hei'_v(x)

$\normal Derivative\ Kelvin\ functions\\ \hspace{60} of\ the\ 3rd\ kind\qquad her_\nu'(x),\ hei_\nu'(x)\\[10] (1)\ x^2y''+xy'-(ix^2+\nu^2)y=0\\ \hspace{25} y=c_1{her_\nu(x)}+ic_2{hei_\nu(x)}\\[10] (2)\ her_\nu'(x)={\large\frac{her_{\nu\tiny +1}(x)+hei_{\nu\tiny +1}(x)}{\sqrt{2}}} +{\large\frac{\nu}{x}}her_\nu(x)\\ \hspace{25}hei_\nu'(x)={\large\frac{hei_{\nu\tiny +1}(x)-her_{\nu\tiny +1}(x)}{\sqrt{2}}} +{\large\frac{\nu}{x}}hei_\nu(x)\\$

Derivative Kelvin function of the 3rd kind (chart)

Calculates a table of the derivative Kelvin functions of the third kind her'v(x) and hei'v(x) and draws the chart.

Related Calculator

Smartphone

Calculates a table of the derivative Kelvin functions of the third kind her'_v(x) and hei'_v(x) and draws the chart.