0
$\begingroup$

Given the HeunC function: $$ \operatorname{HeunC}\left( \frac{a^2}{2} \sqrt{2k+3},-1/2,-1+\frac{a^2}{2},-\frac{a^2}{8}(-1 +a^2 k), \frac{1}{2}-\frac{a^2}{4}, -\frac{x^2}{a^2} \right) $$ where $a$ is an arbitrary constant and $k$ is an arbitrary positive constant, what is the derivative of this function with respect to $x$?

  • 3
    Try HeunCPrime() http://www.maplesoft.com/support/help/Maple/view.aspx?path=HeunC2012-08-13
  • 0
    @BrianTupper I have edited the question to use MathJax and to specify that the derivative with respect to $x$ is needed.2012-08-13
  • 0
    I have added the Maple tag, as the syntax in the question leads me to believe that this is a maple question, although I may be mistaken.2012-08-13
  • 0
    @Ed, actually, one can now combine your pointer with the chain rule to give an answer to this question...2012-08-13

1 Answers 1

0

Here is the derivative of your function with respect to $x$ computed by Maple,

$$\frac{d}{dx} {\it HeunC} \left( A,B,C,D,E,-{\frac {{x}^{2}}{{a}^{2}}} \right) = - \frac{2x}{a^2}{\it HeunCPrime} \left( A,B,C,D,E,-{\frac {{x}^{2}}{{a}^{2}}} \right) $$ where HeunCPrime The derivative of the Heun Confluent function.

  • 0
    Why is the $x$ in the denominator?2012-08-14
  • 0
    @J.M:Typing error. Thanks.2012-08-14