scipy.special.lmbda¶

scipy.special.lmbda(v, x)[source]¶

Jahnke-Emden Lambda function, Lambdav(x).

Parameters:

Parameters:	v : float Order of the Lambda function x : float Value at which to evaluate the function and derivatives
Returns:	vl : ndarray Values of Lambda_vi(x), for vi=v-int(v), vi=1+v-int(v), ..., vi=v. dl : ndarray Derivatives Lambda_vi’(x), for vi=v-int(v), vi=1+v-int(v), ..., vi=v.

v : float

Order of the Lambda function

x : float

Value at which to evaluate the function and derivatives

Returns:

vl : ndarray

Values of Lambda_vi(x), for vi=v-int(v), vi=1+v-int(v), ..., vi=v.

dl : ndarray

Derivatives Lambda_vi’(x), for vi=v-int(v), vi=1+v-int(v), ..., vi=v.

References

Zhang, Shanjie and Jin, Jianming. “Computation of Special Functions”, John Wiley and Sons, 1996. http://jin.ece.illinois.edu/specfunc.html