Barnes integral
In mathematics, a Barnes integral or Mellin–Barnes integral is a contour integral involving a product of gamma functions. They were introduced by Ernest William Barnes . They are closely related to generalized hypergeometric series. The integral is usually taken along a contour which is a deformation of the imaginary axis passing to the right of all poles of factors of the form Γ(a + s) and to the left of all poles of factors of the form Γ(a − s).
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Barnes' beta integralBarnes' lemmaBarnes's beta integralBarnes's lemmaBarnes beta integralBarnes lemmaBasic hypergeometric seriesBeta integralConfluent hypergeometric functionErnest BarnesFox H-functionGamma functionHjalmar MellinHypergeometric functionMeijer G-functionMellin-Barnes integralMellin–Barnes integral
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Barnes integral
In mathematics, a Barnes integral or Mellin–Barnes integral is a contour integral involving a product of gamma functions. They were introduced by Ernest William Barnes . They are closely related to generalized hypergeometric series. The integral is usually taken along a contour which is a deformation of the imaginary axis passing to the right of all poles of factors of the form Γ(a + s) and to the left of all poles of factors of the form Γ(a − s).
has abstract
In mathematics, a Barnes integ ...... factors of the form Γ(a − s).
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Inom matematiken är en Barnesi ...... höger om polerna av Γ(a − s).
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Интеграл Меллина—Барнса (Melli ...... рые должны оставаться справа).
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巴恩斯积分(英語:Barnes integral),由英國數 ...... 「梅林-巴恩斯积分」,與广义超几何函数高度相關。 定义如下:
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Ernest William Barnes
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Ernest William
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Barnes
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In mathematics, a Barnes integ ...... factors of the form Γ(a − s).
@en
Inom matematiken är en Barnesi ...... höger om polerna av Γ(a − s).
@sv
Интеграл Меллина—Барнса (Melli ...... атным преобразованием Меллина.
@ru
巴恩斯积分(英語:Barnes integral),由英國數 ...... 「梅林-巴恩斯积分」,與广义超几何函数高度相關。 定义如下:
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Barnes integral
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Barnesintegral
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Интеграл Меллина — Барнса
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巴恩斯积分
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