code: def vander(x, N=None, increasing=False):
      if x.ndim != 1:
          raise ValueError("x must be a one-dimensional array")
      if N == 0:
          return ivy.array([], dtype=x.dtype).reshape((x.shape[0], 0))
      else:
          return ivy.vander(x, N=N, increasing=increasing)
  
imports: import ivy
  from ivy.func_wrapper import with_unsupported_dtypes
  from ivy.functional.frontends.jax.array import Array
  import ivy.functional.frontends.jax.numpy
  from ivy.functional.frontends.jax.func_wrapper import to_ivy_arrays_and_back, outputs_to_frontend_arrays, handle_jax_dtype, inputs_to_ivy_arrays
  from ivy.func_wrapper import handle_out_argument
  from ivy import with_unsupported_device_and_dtypes
label_desc: Use image node_id 32 for calling a global function with example usage: vander(x, N, increasing) and returns: ivy, ivy