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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 (1908, 1910). They are closely related to generalized hypergeometric series.
Products, Hypergeometric series & Barnes lemmas
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hypergeometric barnes integral series functions 1908 isbn mathematics contour 1910 generalized right mr integrals also cambridge university press jfm mellin
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Barnes integral | is a | contour integral involving a product of gamma functions | 0.90 | text |
| Barnes integral | related to Hypergeometric series | The | 0.60 | section |
| Barnes integral | related to Hypergeometric series | Barnes | 0.60 | section |
| Barnes integral | related to Hypergeometric series | Andrews | 0.60 | section |
| Barnes integral | related to Hypergeometric series | Askey | 0.60 | section |
| Barnes integral | related to Hypergeometric series | Roy | 0.60 | section |
| Barnes integral | related to Hypergeometric series | Theorem | 0.60 | section |
| Barnes integral | related to Hypergeometric series | This | 0.60 | section |
| Barnes integral | related to Hypergeometric series | Given | 0.60 | section |
| Barnes integral | related to Hypergeometric series | Slater | 0.60 | section |
| Barnes integral | related to q-Barnes integrals | There | 0.60 | section |
| Barnes integral | related to q-Barnes integrals | Barnes | 0.60 | section |
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