On the zeros of certain trigonometric integrals (Q1101572)
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scientific article; zbMATH DE number 4046073
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the zeros of certain trigonometric integrals |
scientific article; zbMATH DE number 4046073 |
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On the zeros of certain trigonometric integrals (English)
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1988
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Integrals of the form \(\int^{1}_{0}\phi (t) \cos zt dt\) are discussed. The condition on \(\phi\) is less restrictive than in the existing literature. A particular example, related to Gauss hypergeometric functions, is considered in detail, with a proof based on the argument principle.
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zeros of trigonometric integrals
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argument principle
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0.9075873
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0.9058978
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0.8973106
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0.8964115
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0.8964115
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0.8948106
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0.89273417
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