An application of hypergeometric functions to a problem in function theory
In some recent work in univalent function theory, Aharonov, Friedland, and Brannan studied the series (1+xt)α(1−t)β=∑n=0∞An(α,β)(x)tn. Brannan posed the problem of determining S={(α,β):|An(α,β)(eiθ)|<|An(α,β)(1)|, 0<θ<2π, α>0, β>0, n=1,2,3,…}. Brannan showed that if β≥α≥0, and...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
1984-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171284000545 |