JacobiNormSQR

Square norm of Jacobi polynomial.

This function returns the following:

$$\Vert P_{n}^{\alpha,\beta}\Vert_{d\lambda}^{2}=\int_{-1}^{+1}P_{n}^ {\alpha,\beta}P_{n}^{\alpha,\beta}(1-x)^{\alpha}(1+x)^{\beta}dx$$

INTERFACE
  MODULE PURE FUNCTION JacobiNormSQR(n, alpha, beta) RESULT(ans)
    INTEGER(I4B), INTENT(IN) :: n
    REAL(DFP), INTENT(IN) :: alpha
    REAL(DFP), INTENT(IN) :: beta
    REAL(DFP) :: ans
  END FUNCTION JacobiNormSQR
END INTERFACE

Example

️܀ See example

program main
use easifembase
implicit none
CALL Display(JacobiNormSQR(5, 0.0_DFP, 0.0_DFP), "ans: " )
end program main

results

ans: 0.181818

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