def gosper(term, k, a, n):
from sympy.solvers import rsolve_poly
if not term:
return None
else:
p, q = term.as_numer_denom()
A, B, C = normal(p, q, k)
B = B.subs(k, k-1)
R = rsolve_poly([-B, A], C, k)
symbol = []
if not (R is None or R is S.Zero):
if symbol != []:
symbol = symbol[0]
W = R.subs(symbol, S.Zero)
if W is S.Zero:
R = R.subs(symbol, S.One)
else:
R = W
Z = B*R*term/C
return simplify(Z.subs(k, n+1) - Z.subs(k, a))
else:
return None
def gosper(term, k, a, n):
from sympy.solvers import rsolve_poly
#expr, hyper = combsimp(term.subs(k, k+1)/term, k, verify=True)
if not hyper:
return None
else:
p, q = expr.as_numer_denom()
A, B, C = normal(p, q, k)
B = B.subs(k, k-1)
R = rsolve_poly([-B, A], C, k)
symbol = []
if not (R is None or isinstance(R, Basic.Zero)):
if symbol != []:
symbol = symbol[0]
W = R.subs(symbol, S.Zero)
if isinstance(W, Basic.Zero):
R = R.subs(symbol, S.One)
else:
R = W
Z = B*R*term/C
return simplify(Z.subs(k, n+1) - Z.subs(k, a))
else:
return None
def gosper(term, k, a, n):
from sympy.solvers import rsolve_poly
if not term:
return None
else:
p, q = term.as_numer_denom()
A, B, C = normal(p, q, k)
B = B.subs(k, k - 1)
R = rsolve_poly([-B, A], C, k)
symbol = []
if not (R is None or R is S.Zero):
if symbol != []:
symbol = symbol[0]
W = R.subs(symbol, S.Zero)
if W is S.Zero:
R = R.subs(symbol, S.One)
else:
R = W
Z = B * R * term / C
return simplify(Z.subs(k, n + 1) - Z.subs(k, a))
else:
return None