Probability distributions and orthogonal polynomials associated with the one-parameter Fibonacci group
Probability distributions and orthogonal polynomials associated with the one-parameter Fibonacci group
Starting from F , the matrix generating Fibonacci numbers, we find the one-parameter Lie group generated by F 2 .The matrix elements of the group provide "special functions" identities that include special relationships for Fibonacci and Lucas numbers.The generator of the group provides a self-adjoint operator that we study in …