Nonlinear differential monomials sharing two values
Using the notion of weighted sharing of values which was introduced by Lahiri (2001), we deal with the uniqueness problem for meromorphic functions when two certain types of nonlinear differential monomials namely $\smash{h^nh^{(k)}}$ $(h=f,g)$ sharing a nonzero polynomial of degree less than or equ...
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| Format: | Article |
| Language: | English |
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Institute of Mathematics of the Czech Academy of Science
2016-10-01
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| Series: | Mathematica Bohemica |
| Subjects: | |
| Online Access: | http://mb.math.cas.cz/full/141/3/mb141_3_4.pdf |
| _version_ | 1819105282711617536 |
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| author | Sujoy Majumder |
| author_facet | Sujoy Majumder |
| author_sort | Sujoy Majumder |
| collection | DOAJ |
| description | Using the notion of weighted sharing of values which was introduced by Lahiri (2001), we deal with the uniqueness problem for meromorphic functions when two certain types of nonlinear differential monomials namely $\smash{h^nh^{(k)}}$ $(h=f,g)$ sharing a nonzero polynomial of degree less than or equal to $3$ with finite weight have common poles and obtain two results. The results in this paper significantly rectify, improve and generalize the results due to Cao and Zhang (2012). |
| first_indexed | 2024-12-22T02:19:46Z |
| format | Article |
| id | doaj.art-68dfce7ab2bb429a9a42e4df45dda2ac |
| institution | Directory Open Access Journal |
| issn | 0862-7959 2464-7136 |
| language | English |
| last_indexed | 2024-12-22T02:19:46Z |
| publishDate | 2016-10-01 |
| publisher | Institute of Mathematics of the Czech Academy of Science |
| record_format | Article |
| series | Mathematica Bohemica |
| spelling | doaj.art-68dfce7ab2bb429a9a42e4df45dda2ac2022-12-21T18:42:10ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362016-10-01141333936110.21136/MB.2016.0080-13MB.2016.0080-13Nonlinear differential monomials sharing two valuesSujoy MajumderUsing the notion of weighted sharing of values which was introduced by Lahiri (2001), we deal with the uniqueness problem for meromorphic functions when two certain types of nonlinear differential monomials namely $\smash{h^nh^{(k)}}$ $(h=f,g)$ sharing a nonzero polynomial of degree less than or equal to $3$ with finite weight have common poles and obtain two results. The results in this paper significantly rectify, improve and generalize the results due to Cao and Zhang (2012).http://mb.math.cas.cz/full/141/3/mb141_3_4.pdf uniqueness meromorphic function weighted sharing nonlinear differential polynomials |
| spellingShingle | Sujoy Majumder Nonlinear differential monomials sharing two values Mathematica Bohemica uniqueness meromorphic function weighted sharing nonlinear differential polynomials |
| title | Nonlinear differential monomials sharing two values |
| title_full | Nonlinear differential monomials sharing two values |
| title_fullStr | Nonlinear differential monomials sharing two values |
| title_full_unstemmed | Nonlinear differential monomials sharing two values |
| title_short | Nonlinear differential monomials sharing two values |
| title_sort | nonlinear differential monomials sharing two values |
| topic | uniqueness meromorphic function weighted sharing nonlinear differential polynomials |
| url | http://mb.math.cas.cz/full/141/3/mb141_3_4.pdf |
| work_keys_str_mv | AT sujoymajumder nonlineardifferentialmonomialssharingtwovalues |