/// <summary>
/// Derivative of the Airy function Ai.
/// <p/>
/// If expScaled is true, returns Exp(zta) * d/dz Ai(z), where zta = (2/3) * z * Sqrt(z).
/// </summary>
/// <param name="z">The value to compute the derivative of the Airy function of.</param>
/// <param name="expScaled">If true, returns exponentially-scaled Airy function</param>
/// <returns></returns>
public static double AiryAiPrime(double z, bool expScaled = false)
{
if (expScaled)
{
return(Amos.ScaledCairyPrime(z));
}
else
{
return(AiryAiPrime(new Complex(z, 0), expScaled).Real);
}
}
/// <summary>
/// Returns the exponentially scaled derivative of the Airy function Ai.
/// <para>ScaledAiryAiPrime(z) is given by Exp(zta) * AiryAiPrime(z), where zta = (2/3) * z * Sqrt(z).</para>
/// </summary>
/// <param name="z">The value to compute the derivative of the Airy function of.</param>
/// <returns>The exponentially scaled derivative of the Airy function Ai.</returns>
public static double AiryAiPrimeScaled(double z)
{
return(Amos.ScaledCairyPrime(z));
}
/// <summary>
/// Returns the exponentially scaled derivative of Airy function Ai
/// <para>ScaledAiryAiPrime(z) is given by Exp(zta) * AiryAiPrime(z), where zta = (2/3) * z * Sqrt(z).</para>
/// </summary>
/// <param name="z">The value to compute the derivative of the Airy function of.</param>
/// <returns>The exponentially scaled derivative of Airy function Ai.</returns>
public static Complex AiryAiPrimeScaled(Complex z)
{
return(Amos.ScaledCairyPrime(z));
}
/// <summary>
/// Derivative of the Airy function Ai.
/// <p/>
/// If expScaled is true, returns Exp(zta) * d/dz Ai(z), where zta = (2/3) * z * Sqrt(z).
/// </summary>
/// <param name="z">The value to compute the derivative of the Airy function of.</param>
/// <param name="expScaled">If true, returns exponentially-scaled Airy function</param>
/// <returns></returns>
public static Complex AiryAiPrime(Complex z, bool expScaled = false)
{
return((expScaled) ? Amos.ScaledCairyPrime(z) : Amos.CairyPrime(z));
}
