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