Tianye Liu

activity

20212025

most citedDouble shadow of a 4D Einstein-Gauss-Bonnet black hole and their connection between with quasinormal modes

8 citations · 12 across the 4 of their papers we have counts for

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2 papers · 1 filter

math-ph2025

Properties of associated Legendre conical functions

Daniel A. Norman, Philip D. Mannheim, Tianye Liu

We present some new properties of associated Legendre conical functions of the first and second kind, $P_{- 1/2 + i τ}^{- 1/2 - K} (χ)$ and $Q_{- 1/2 + i τ}^{- 1/2 - K} (χ)$ . In particular we sh…

math-ph2023

Exceptional points for associated Legendre functions of the second kind

Tianye Liu, Daniel A. Norman, Philip D. Mannheim

We consider the complex $ν$ plane structure of the associated Legendre function of the second kind $Q_{ν}^{- 1/2 - K} (cosh ρ)$ . We find that for any noninteger value for $K$ $Q^{-1/2-K}…