On an integral of powers of hypergeometric or trigonometric functions (Q1090058)
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scientific article; zbMATH DE number 4007554
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On an integral of powers of hypergeometric or trigonometric functions |
scientific article; zbMATH DE number 4007554 |
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On an integral of powers of hypergeometric or trigonometric functions (English)
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1986
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The integral \((1/\lambda^ p)\int^{\pi /2}_{0}(\sin \lambda x/\sin x)^ p dx\) (p\(\in {\mathbb{N}}\), \(\lambda\in {\mathbb{R}})\) is expressed by an infinite series containing generalized Bernoulli polynomials. The appearance of ''hypergeometric'' in the title is misleading.
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trigonometric integrals
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generalized Bernoulli polynomials
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infinite series
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