On certain classes of biharmonic mappings defined by convolution (Q696061)
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scientific article; zbMATH DE number 6116382
| Language | Label | Description | Also known as |
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| English | On certain classes of biharmonic mappings defined by convolution |
scientific article; zbMATH DE number 6116382 |
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On certain classes of biharmonic mappings defined by convolution (English)
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18 December 2012
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Summary: We introduce a class of complex-valued biharmonic mappings, denoted by \(\mathrm{BH}^0(\phi_k; \sigma, a, b)\), together with its subclass \(\mathrm{TBH}^0(\phi_k; \sigma, a, b)\), and then generalize the discussions in [\textit{R. M. Ali} et al., Appl. Math. Lett. 23, No. 10, 1243--1247 (2010; Zbl 1193.30007)] to the setting of \(\mathrm{BH}^0(\phi_k; \sigma, a, b)\) and \(\mathrm{TBH}^0(\phi_k; \sigma, a, b)\) in a unified way.
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biharmonic mappings
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convolution
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