Let f(z) be meromorphic function of finite nonzero order ?. Assuming certain growth estimates on f by comparing it with r?L(r) where L(r) is a slowly changing function we have obtained the bounds for the zeros of f(z) -g (z) where g (z) is a meromorphic function satisfying T (r, g)=o {T(r, f)} as r ? ?. These bounds are satisfied but for some exceptional functions. Examples are given to show that such exceptional functions exist. © 1974 Indian Academy of Sciences.
| dc.contributor.author | Narayanan, K.A. | |
| dc.date.accessioned | 2026-02-05T11:00:47Z | |
| dc.date.issued | On exceptional values of entire and meromorphic functions | |
| dc.description.abstract | 1974 | |
| dc.identifier.citation | Proceedings of the Indian Academy of Sciences - Section A, 1974, 80, 2, pp. 75-84 | |
| dc.identifier.issn | 3700089 | |
| dc.identifier.uri | https://doi.org/10.1007/BF03046683 | |
| dc.identifier.uri | https://idr.nitk.ac.in/handle/123456789/28165 | |
| dc.title | Let f(z) be meromorphic function of finite nonzero order ?. Assuming certain growth estimates on f by comparing it with r?L(r) where L(r) is a slowly changing function we have obtained the bounds for the zeros of f(z) -g (z) where g (z) is a meromorphic function satisfying T (r, g)=o {T(r, f)} as r ? ?. These bounds are satisfied but for some exceptional functions. Examples are given to show that such exceptional functions exist. © 1974 Indian Academy of Sciences. |