Recursion relation of the Hermite polynomial

Related BrainMass Solutions

• Normalization constant of a Hermite polynomial

  16170 Normalization constant of a Hermite polynomial I need to figure out how to explicitly calculate the normalization facotor for the Hermite polynomial as it relates to the harmonic oscillator. N=[(a/Pi)1/2vv!]

• Matlab Hermite Interpolation

  Next I am to write a Matlab function which takes inputs x,y0,dy0,y1,dy1 and returns the value of the cubic polynomial q at x that satisfies the above conditions.

• Integration, proofs, spline interpolation

  so using the recursion relation and mathematical induction this part is done.

• Bessel functions

  The main idea of the solution is to use a recursion relation and the Bessel functions J_{1/2} and J_{-1/2} in conjunction with a proof by induction.

• Radial Wave Function

  recursion relation to obtain the following: c_j+1 = (2(j+l+1-n)*c_j)/((j+1)(j+2(n-1)+2)) or c_j+1 = (2(j+l+1-n)*c_j)/((j+1)(j+2n) and determine if this matches the form of the radial wave function under the differential equation in the cj given.

• Recursion in Discrete Math

  Find the solution of each of the following: 1.) First we have to find the solution of the recurrence relation Suppose is the solution of the equation Then Thus complementary function is C.

• Normalization of Hermite Polynomials

  The first two orthonormal Hermite polynomials are thus H0/pi^1/4 and H1/[sqrt(2) pi^1/4]. We explain how to obtain the proper normalization of the Hermite polynomials.

• Generating function for the Hermite polynomials

  199508 Generating function for the Hermite polynomials Expand the generating function for the Hermite polynomials. Please see the attachment. Please show each step in the solution. Please see the attached file.

• Recurrence Relation

  37547 Recurrence Relation Find and prove a closed form for the recursion X_0 = 1, X_n = 3X_(n-1) - 1 See attached file