def bi_zeros(nt):
"""Compute the zeros of Airy Functions Bi(x) and Bi'(x), b and b'
respectively, and the associated values of Ai(b') and Ai'(b).
Returns
-------
b[l-1] -- the lth zero of Bi(x)
bp[l-1] -- the lth zero of Bi'(x)
bi[l-1] -- Bi(bp[l-1])
bip[l-1] -- Bi'(b[l-1])
"""
kf = 2
if not isscalar(nt) or (floor(nt)!=nt) or (nt<=0):
raise ValueError("nt must be a positive integer scalar.")
return specfun.airyzo(nt,kf)
def bi_zeros(nt):
"""Compute the zeros of Airy Functions Bi(x) and Bi'(x), b and b'
respectively, and the associated values of Ai(b') and Ai'(b).
Outputs:
b[l-1] -- the lth zero of Bi(x)
bp[l-1] -- the lth zero of Bi'(x)
bi[l-1] -- Bi(bp[l-1])
bip[l-1] -- Bi'(b[l-1])
"""
kf = 2
if not isscalar(nt) or (floor(nt) != nt) or (nt <= 0):
raise ValueError, "nt must be a positive integer scalar."
return specfun.airyzo(nt, kf)
def ai_zeros(nt):
"""Compute the zeros of Airy Functions Ai(x) and Ai'(x), a and a'
respectively, and the associated values of Ai(a') and Ai'(a).
Returns
-------
a[l-1] -- the lth zero of Ai(x)
ap[l-1] -- the lth zero of Ai'(x)
ai[l-1] -- Ai(ap[l-1])
aip[l-1] -- Ai'(a[l-1])
"""
kf = 1
if not isscalar(nt) or (floor(nt)!=nt) or (nt<=0):
raise ValueError("nt must be a positive integer scalar.")
return specfun.airyzo(nt,kf)
def ai_zeros(nt):
"""Compute the zeros of Airy Functions Ai(x) and Ai'(x), a and a'
respectively, and the associated values of Ai(a') and Ai'(a).
Outputs:
a[l-1] -- the lth zero of Ai(x)
ap[l-1] -- the lth zero of Ai'(x)
ai[l-1] -- Ai(ap[l-1])
aip[l-1] -- Ai'(a[l-1])
"""
kf = 1
if not isscalar(nt) or (floor(nt) != nt) or (nt <= 0):
raise ValueError, "nt must be a positive integer scalar."
return specfun.airyzo(nt, kf)