Askey-Wilson version of Second Main Theorem for holomorphic curves in projective space

Abstract

In this paper, an Askey-Wilson version of the Wronskian-Casorati determinant $\mathcal{W}(f_0,\dots ,f_n)(x)$ for meromorphic functions $f_0,\dots ,f_n$ is introduced to establish an Askey-Wilson version of the general form of the Second Main Theorem in projective space. This improves upon the original Second Main Theorem for the Askey-Wilson operator due to Chiang and Feng. In addition, by taking into account the number of irreducible components of hypersurfaces, an Askey-Wilson version of the Truncated Second Main Theorem for holomorphic curves into projective space with hypersurfaces located in $l$-subgeneral position is obtained.

arXiv comment50 pages