FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3117335920> ?p ?o ?g. }

• W3117335920 abstract "Mellin-Barnes (MB) integrals are well-known objects appearing in many branches of mathematics and physics, ranging from hypergeometric functions theory to quantum field theory, solid state physics, asymptotic theory, etc. Although MB integrals have been studied for more than one century, until now there is no systematic computational technique of the multiple series representations of $N$-fold MB integrals for $N>2$. Relying on a simple geometrical analysis based on conic hulls, we show here a solution to this important problem. Our method can be applied to resonant (i.e logarithmic) and nonresonant cases and, depending on the form of the MB integrand, it gives rise to convergent series representations or diverging asymptotic ones. When convergent series are obtained the method also allows, in general, the determination of a single master series for each series representation, which considerably simplifies convergence studies and/or numerical checks. We provide, along with this paper, a Mathematica implementation of our technique with examples of applications. Among them, we present the first evaluation of the hexagon and double box conformal Feynman integrals with unit propagator powers." @default.
• W3117335920 created "2021-01-05" @default.
• W3117335920 creator A5009400490 @default.
• W3117335920 creator A5026471486 @default.
• W3117335920 creator A5040294120 @default.
• W3117335920 creator A5070771200 @default.
• W3117335920 date "2020-12-30" @default.
• W3117335920 modified "2023-10-14" @default.
• W3117335920 title "Multiple Series Representations of $N$-fold Mellin-Barnes Integrals" @default.
• W3117335920 cites W1513188914 @default.
• W3117335920 cites W1515192744 @default.
• W3117335920 cites W1533556785 @default.
• W3117335920 cites W1570093786 @default.
• W3117335920 cites W1600820360 @default.
• W3117335920 cites W2101516454 @default.
• W3117335920 hasPublicationYear "2020" @default.
• W3117335920 type Work @default.
• W3117335920 sameAs 3117335920 @default.
• W3117335920 citedByCount "2" @default.
• W3117335920 countsByYear W31173359202021 @default.
• W3117335920 countsByYear W31173359202023 @default.
• W3117335920 crossrefType "posted-content" @default.
• W3117335920 hasAuthorship W3117335920A5009400490 @default.
• W3117335920 hasAuthorship W3117335920A5026471486 @default.
• W3117335920 hasAuthorship W3117335920A5040294120 @default.
• W3117335920 hasAuthorship W3117335920A5070771200 @default.
• W3117335920 hasConcept C104416048 @default.
• W3117335920 hasConcept C108598597 @default.
• W3117335920 hasConcept C1115519 @default.
• W3117335920 hasConcept C11683690 @default.
• W3117335920 hasConcept C120293249 @default.
• W3117335920 hasConcept C134306372 @default.
• W3117335920 hasConcept C13626590 @default.
• W3117335920 hasConcept C137343772 @default.
• W3117335920 hasConcept C143724316 @default.
• W3117335920 hasConcept C151730666 @default.
• W3117335920 hasConcept C153363305 @default.
• W3117335920 hasConcept C195597517 @default.
• W3117335920 hasConcept C197320386 @default.
• W3117335920 hasConcept C199874217 @default.
• W3117335920 hasConcept C202444582 @default.
• W3117335920 hasConcept C2524010 @default.
• W3117335920 hasConcept C2992379347 @default.
• W3117335920 hasConcept C33923547 @default.
• W3117335920 hasConcept C37914503 @default.
• W3117335920 hasConcept C39927690 @default.
• W3117335920 hasConcept C65574998 @default.
• W3117335920 hasConcept C73905626 @default.
• W3117335920 hasConcept C86803240 @default.
• W3117335920 hasConcept C97937538 @default.
• W3117335920 hasConcept C98214594 @default.
• W3117335920 hasConceptScore W3117335920C104416048 @default.
• W3117335920 hasConceptScore W3117335920C108598597 @default.
• W3117335920 hasConceptScore W3117335920C1115519 @default.
• W3117335920 hasConceptScore W3117335920C11683690 @default.
• W3117335920 hasConceptScore W3117335920C120293249 @default.
• W3117335920 hasConceptScore W3117335920C134306372 @default.
• W3117335920 hasConceptScore W3117335920C13626590 @default.
• W3117335920 hasConceptScore W3117335920C137343772 @default.
• W3117335920 hasConceptScore W3117335920C143724316 @default.
• W3117335920 hasConceptScore W3117335920C151730666 @default.
• W3117335920 hasConceptScore W3117335920C153363305 @default.
• W3117335920 hasConceptScore W3117335920C195597517 @default.
• W3117335920 hasConceptScore W3117335920C197320386 @default.
• W3117335920 hasConceptScore W3117335920C199874217 @default.
• W3117335920 hasConceptScore W3117335920C202444582 @default.
• W3117335920 hasConceptScore W3117335920C2524010 @default.
• W3117335920 hasConceptScore W3117335920C2992379347 @default.
• W3117335920 hasConceptScore W3117335920C33923547 @default.
• W3117335920 hasConceptScore W3117335920C37914503 @default.
• W3117335920 hasConceptScore W3117335920C39927690 @default.
• W3117335920 hasConceptScore W3117335920C65574998 @default.
• W3117335920 hasConceptScore W3117335920C73905626 @default.
• W3117335920 hasConceptScore W3117335920C86803240 @default.
• W3117335920 hasConceptScore W3117335920C97937538 @default.
• W3117335920 hasConceptScore W3117335920C98214594 @default.
• W3117335920 hasOpenAccess W3117335920 @default.
• W3117335920 hasRelatedWork W2020540215 @default.
• W3117335920 hasRelatedWork W2087513307 @default.
• W3117335920 hasRelatedWork W2154996265 @default.
• W3117335920 hasRelatedWork W2623774400 @default.
• W3117335920 hasRelatedWork W2759397103 @default.
• W3117335920 hasRelatedWork W2950450162 @default.
• W3117335920 hasRelatedWork W3007334060 @default.
• W3117335920 hasRelatedWork W3016544781 @default.
• W3117335920 hasRelatedWork W3048663038 @default.
• W3117335920 hasRelatedWork W3098402214 @default.
• W3117335920 hasRelatedWork W3099576129 @default.
• W3117335920 hasRelatedWork W3100447425 @default.
• W3117335920 hasRelatedWork W3100520927 @default.
• W3117335920 hasRelatedWork W3101841315 @default.
• W3117335920 hasRelatedWork W3104263379 @default.
• W3117335920 hasRelatedWork W3105009750 @default.
• W3117335920 hasRelatedWork W3105225531 @default.
• W3117335920 hasRelatedWork W3108168527 @default.
• W3117335920 hasRelatedWork W3113654688 @default.
• W3117335920 hasRelatedWork W3116531591 @default.
• W3117335920 isParatext "false" @default.
• W3117335920 isRetracted "false" @default.
• W3117335920 magId "3117335920" @default.

• next