Massive one-loop conformal Feynman integrals and quadratic transformations of multiple hypergeometric series

B. Ananthanarayan; Sumit Banik; Samuel Friot; Shayan Ghosh

doi:10.1103/physrevd.103.096008

Massive one-loop conformal Feynman integrals and quadratic transformations of multiple hypergeometric series

Physical Review D ◽

10.1103/physrevd.103.096008 ◽

2021 ◽

Vol 103 (9) ◽

Author(s):

B. Ananthanarayan ◽

Sumit Banik ◽

Samuel Friot ◽

Shayan Ghosh

Keyword(s):

Hypergeometric Series ◽

Feynman Integrals ◽

Multiple Hypergeometric Series

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Hypergeometric series representations of Feynman integrals by GKZ hypergeometric systems

Journal of High Energy Physics ◽

10.1007/jhep04(2020)121 ◽

2020 ◽

Vol 2020 (4) ◽

Author(s):

René Pascal Klausen

Keyword(s):

Hypergeometric Series ◽

Feynman Integrals ◽

Series Representations

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A transformation formula for multiple hypergeometric series

Monatshefte für Mathematik ◽

10.1007/bf01299953 ◽

1967 ◽

Vol 71 (1) ◽

pp. 1-6 ◽

Cited By ~ 5

Author(s):

L. Carlitz

Keyword(s):

Hypergeometric Series ◽

Transformation Formula ◽

Multiple Hypergeometric Series

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New properties of hypergeometric series derivable from Feynman integrals. I. Transformation and reduction formulae

Journal of Physics A General Physics ◽

10.1088/0305-4470/20/13/019 ◽

1987 ◽

Vol 20 (13) ◽

pp. 4109-4117 ◽

Cited By ~ 21

Author(s):

A A Inayat-Hussain

Keyword(s):

Hypergeometric Series ◽

Feynman Integrals

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Neumann expansions for a certain class of generalised multiple hypergeometric series arising in physical and quantum chemical applications

Journal of Physics A General Physics ◽

10.1088/0305-4470/20/4/020 ◽

1987 ◽

Vol 20 (4) ◽

pp. 847-855 ◽

Cited By ~ 6

Author(s):

H M Srivastava

Keyword(s):

Quantum Chemical ◽

Hypergeometric Series ◽

Multiple Hypergeometric Series

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The sum of a multiple hypergeometric series

Indagationes Mathematicae (Proceedings) ◽

10.1016/1385-7258(77)90058-0 ◽

1977 ◽

Vol 80 (5) ◽

pp. 448-452 ◽

Cited By ~ 1

Author(s):

H.M Srivastava

Keyword(s):

Hypergeometric Series ◽

Multiple Hypergeometric Series

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Some q-generating functions associated with basic multiple hypergeometric series

Computers & Mathematics with Applications ◽

10.1016/0898-1221(94)90004-3 ◽

1994 ◽

Vol 27 (1) ◽

pp. 33-39 ◽

Cited By ~ 2

Author(s):

Th.M. Rassias ◽

S.N. Singh ◽

H.M. Srivastava

Keyword(s):

Generating Functions ◽

Hypergeometric Series ◽

Multiple Hypergeometric Series

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Reduction and summation formulae for certain classes of generalised multiple hypergeometric series arising in physical and quantum chemical applications

Journal of Physics A General Physics ◽

10.1088/0305-4470/18/15/031 ◽

1985 ◽

Vol 18 (15) ◽

pp. 3079-3085 ◽

Cited By ~ 9

Author(s):

H M Srivastava

Keyword(s):

Quantum Chemical ◽

Hypergeometric Series ◽

Summation Formulae ◽

Multiple Hypergeometric Series

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Multiple Hypergeometric Series: Appell Series and Beyond

Texts & Monographs in Symbolic Computation - Computer Algebra in Quantum Field Theory ◽

10.1007/978-3-7091-1616-6_13 ◽

2013 ◽

pp. 305-324 ◽

Cited By ~ 11

Author(s):

Michael J. Schlosser

Keyword(s):

Hypergeometric Series ◽

Multiple Hypergeometric Series

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A note on the convergence of certain families of multiple hypergeometric series

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(92)90147-6 ◽

1992 ◽

Vol 164 (1) ◽

pp. 104-115 ◽

Cited By ~ 14

Author(s):

NguyêñThanh Hái ◽

O.I Marichev ◽

H.M Srivastava

Keyword(s):

Hypergeometric Series ◽

Multiple Hypergeometric Series

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An $SU(n)$q-Beta Integral Transformation and Multiple Hypergeometric Series Identities

SIAM Journal on Mathematical Analysis ◽

10.1137/0523027 ◽

1992 ◽

Vol 23 (2) ◽

pp. 552-561 ◽

Cited By ~ 18

Author(s):

R. Y. Denis ◽

R. A. Gustafson

Keyword(s):

Hypergeometric Series ◽

Integral Transformation ◽

Beta Integral ◽

Multiple Hypergeometric Series

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