pymiediff.special.pena_D3_n

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pymiediff.special.pena_D3_n#

pymiediff.special.pena_D3_n(n: Tensor | int, z: Tensor, D1: Tensor = None, eps: float = 1e-30, precision: str = 'double')#

Compute D_n^(3)(z) = zeta'_n(z) / zeta_n(z) recurrence.

Parameters:

  • n (int or torch.Tensor) – Maximum order.

  • z (torch.Tensor) – Complex argument(s).

  • D1 (torch.Tensor, optional) – Precomputed D1 values.

  • eps (float, default=1e-30) – Small denominator safeguard.

  • precision ({"single", "double"}, default="double") – Complex dtype selection.

Returns:

Log-derivative values for orders 0..n.

Return type:

torch.Tensor

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