Certain properties of normal meromorphic and normal harmonic mappings
A function (meromorphic or harmonic) from the hyperbolic disk of the complex plane to the Riemann sphere is normal if its dilatation is bounded. In this paper, normal families of meromorphic functions is studied in view of sharing values by their differential monomials. Moreover, several properties...
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| Veröffentlicht in: | Monatshefte für Mathematik 2023-04, Vol.200 (4), p.719-736 |
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| creator | Ahamed, Molla Basir Mandal, Sanju |
| description | A function (meromorphic or harmonic) from the hyperbolic disk of the complex plane to the Riemann sphere is normal if its dilatation is bounded. In this paper, normal families of meromorphic functions is studied in view of sharing values by their differential monomials. Moreover, several properties of normal harmonic mappings are also studied in view of certain general settings. |
| doi_str_mv | 10.1007/s00605-022-01774-2 |
| format | Article |
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| subjects | Mathematics Mathematics and Statistics Meromorphic functions Riemann manifold |
| title | Certain properties of normal meromorphic and normal harmonic mappings |
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