search for: confluent

Thanks for the confirmation Jean-Marc. I kind of suspected from the comments that it was the confluent hypergoemetric function, which I was trying to evaluate using Kummer's equation, namely: M(a;b;x) is the sum from n=0 to infinity of (a)n*x^n / (b)n*n! where (a)n = a(a+1)(a+2) ... (a+n-1) But when I use Kummer's equation, I don't get the values in the "hypergeom_gain" tab...

By my reckoning the confluent hypergoemetric functions should have the following values: M(-.25;1;-.5) = 1.11433 M(-.25;1;-1) = 1.21088 M(-.25;1;-1.5) = 1.29385 M(-.25;1;-2) = 1.36627 M(-.25;1;-2.5) = 1.43038 M(-.25;1;-3) = 1.48784 M(-.25;1;-3.5) = 1.53988 M(-.25;1;-4) = 1.58747 M(-.25;1;-4.5) = 1.63134 M(-.25;1;-5) = 1.67206...

..._gain() > should really approach 1 as x goes to infinity. But in the end, an > approximation is probably OK because denoising is anything but an exact science > :-) > > Jean-Marc > > Quoting John Ridges <jridges at masque.com>: > > >> By my reckoning the confluent hypergoemetric functions should have the >> following values: >> >> M(-.25;1;-.5) = 1.11433 >> M(-.25;1;-1) = 1.21088 >> M(-.25;1;-1.5) = 1.29385 >> M(-.25;1;-2) = 1.36627 >> M(-.25;1;-2.5) = 1.43038 >> M(-.25;1;-3) = 1.48784 >> M(-.25;1;-3.5) =...

Hi, I've been trying to re-create the table in the function "hypergeom_gain" in preprocess.c, and I just simply can't get the same values. I get the same value for the first element, so I know I'm computing gamma(1.25)^2 correctly, but I can't get the same numbers for M(-.25;1;-x), which I assume is Kummer's function. Is it possible that the comment is out of

...ithout your values (or the doc) because hypergeom_gain() should really approach 1 as x goes to infinity. But in the end, an approximation is probably OK because denoising is anything but an exact science :-) Jean-Marc Quoting John Ridges <jridges at masque.com>: > By my reckoning the confluent hypergoemetric functions should have the > following values: > > M(-.25;1;-.5) = 1.11433 > M(-.25;1;-1) = 1.21088 > M(-.25;1;-1.5) = 1.29385 > M(-.25;1;-2) = 1.36627 > M(-.25;1;-2.5) = 1.43038 > M(-.25;1;-3) = 1.48784 > M(-.25;1;-3.5) = 1.53988 > M(-.25;1;-4) = 1.58747...

...oes to infinity. But in the end, an >> approximation is probably OK because denoising is anything but an >> exact science >> :-) >> >> Jean-Marc >> >> Quoting John Ridges <jridges at masque.com>: >> >> >>> By my reckoning the confluent hypergoemetric functions should have the >>> following values: >>> >>> M(-.25;1;-.5) = 1.11433 >>> M(-.25;1;-1) = 1.21088 >>> M(-.25;1;-1.5) = 1.29385 >>> M(-.25;1;-2) = 1.36627 >>> M(-.25;1;-2.5) = 1.43038 >>> M(-.25;1;-3) = 1...

...x) Note that the table data has an interval of .5 for the x axis. How far are your results from the data in the table? Cheers, Jean-Marc Quoting John Ridges <jridges at masque.com>: > Thanks for the confirmation Jean-Marc. I kind of suspected from the > comments that it was the confluent hypergoemetric function, which I was > trying to evaluate using Kummer's equation, namely: > > M(a;b;x) is the sum from n=0 to infinity of (a)n*x^n / (b)n*n! > where (a)n = a(a+1)(a+2) ... (a+n-1) > > But when I use Kummer's equation, I don't get the values in the >...

Dear all, I need your advice since I am looking for an implementation of the parabolic cylinder function in R. I found implemantations of the hypergemetric functions (the Whittaker and the confluent hypogeometric functions) in the package fAsianOptions but the parabolic cylinder function was unfortunately not there. Do you know of such implementation? Thank you very much for your advice. Cheers, Zoe [[alternative HTML version deleted]]

Hello, I need to use the confluent function of second kind, also known as Tricomi function. It is implemented as kummerU() function in fAsianOptions package, but I've found very inaccurate values, comparing with those provided by Mathematica. I think Mathematica values are OK because kummerU values leads to negative probabil...

...tion. The functions included are: In Part I, the Error Function "erf", the Psi or Digamma Function "Psi", the Incomplete Gamma Function "igamma", the Gamma Function fpr complex arguments, and the Pochhammer Symbol "Pochhammer". In Part II, the Confluent Hypergeometric Functions of the 1st Kind and 2nd Kind "kummerM" and "kummerU", the Whittaker Functions "whittakerM" and "whittakerW" and the Hermite Polynomials "hermiteH" 2004-06-29 fOptions/demo A new example file named "xmpS...