High–Energy Scattering Amplitudes in QED, QCD and Supergravity

Vera, Agustín Sabio

doi:10.1142/9789811231124_0012

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Some Explicit Examples Of Our Sequences and Relations To Kno...2

A Appendix1

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2023

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Cited by 2 publications

(4 citation statements)

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“…We could not find the sum S 5 in closed form in the literature, as mentioned in the main text, see (34).…”

Section: A Appendixmentioning

confidence: 93%

“…Conjecture 2 can be expressed as a conjecture relating certain generalized hypergeometric functions evaluated at z = 1. The left hand side of (34)…”

Section: Some Explicit Examples Of Our Sequences and Relations To Kno...mentioning

confidence: 99%

“…For the right hand side of (34), consider first the case of odd n. Defining p = n − 2k , the sum becomes…”

Section: Some Explicit Examples Of Our Sequences and Relations To Kno...mentioning

confidence: 99%

“…The counting of rooted maps is of interest in the study of other quantum field theories, some of which having supersymmetry, see for example [6,7,8,21,26,32,33,34].…”

mentioning

confidence: 99%

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Enumeration of multi-rooted plane trees

Ghabra¹,

Krishna²,

Labelle³

et al. 2023

Preprint

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We give closed form expressions for the numbers of multi-rooted plane trees with specified degrees of root vertices. This results in an infinite number of integer sequences some of which are known to have an alternative interpretation. We also propose recursion relations for numbers of such trees as well as for the corresponding generating functions. Explicit expressions for the generating functions corresponding to plane trees having two and three roots are derived. As a by-product, we obtain a new binomial identity and a conjecture relating hypergeometric functions.

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“…We could not find the sum S 5 in closed form in the literature, as mentioned in the main text, see (34).…”

Section: A Appendixmentioning

confidence: 93%

“…Conjecture 2 can be expressed as a conjecture relating certain generalized hypergeometric functions evaluated at z = 1. The left hand side of (34)…”

Section: Some Explicit Examples Of Our Sequences and Relations To Kno...mentioning

confidence: 99%

“…For the right hand side of (34), consider first the case of odd n. Defining p = n − 2k , the sum becomes…”

Section: Some Explicit Examples Of Our Sequences and Relations To Kno...mentioning

confidence: 99%

“…The counting of rooted maps is of interest in the study of other quantum field theories, some of which having supersymmetry, see for example [6,7,8,21,26,32,33,34].…”

mentioning

confidence: 99%

See 2 more Smart Citations