Abstract
We introduce a concept of jumping a-points for functions w(z) meromorphic in the complex plane. This concept generalizes the classical concept of multiple points. By making use of the new concept, we are able to generalize some main conclusions of the Nevanlinna value distribution theory related to multiple a-points. In particular, it turns out that not only these multiple a-points are exceptional in the sense of deficiency but also those a-points z where ¦w′(z)¦ is sufficiently small.
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© 2004 Kluwer Academic Publishers
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Barsegian, G.A., Yang, C.C. (2004). On Some New Concept of Exceptional Values. In: Barsegian, G., Laine, I., Yang, C.C. (eds) Value Distribution Theory and Related Topics. Advances in Complex Analysis and Its Applications, vol 3. Springer, Boston, MA. https://doi.org/10.1007/1-4020-7951-6_4
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DOI: https://doi.org/10.1007/1-4020-7951-6_4
Publisher Name: Springer, Boston, MA
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