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81“... functional forms, and matching each component to an ansatz of multiple polylogarithms with negative cluster...”
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82“... polylogarithm functions and verify our results by explicit calculation of Feynman graphs at a few orders...”
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83“... 24. The holomorphic piece of F g is given in terms of a polylogarithm with index 3−2g and predicts...”
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85“... as an inverse to the polylogarithm function and by this, constructed a new type poly-Bernoulli polynomials...”
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86“... generalize the Bernoulli polynomials using a generating function involving a polylogarithm function. We first...”
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88“... generating function involving polylogarithm function. We succeeded in deriving the analytical expression...”
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89“... functions — particular linear combinations of higher-order polylogarithm functions. Several consistency...”
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90“... Genocchi polynomials attached to an arithmetic function by using the degenerate polylogarithm function. We...”
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91“.... The results are validated by obtaining the classical series representation of the polylogarithm and Hurwitz...”
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92“...Abstract We review the Hopf algebra of the multiple polylogarithms and the symbol map, as well...”
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93“... results in terms of multiple polylogarithms for all the master integrals but one, for which we derive a...”
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94by Johannes Broedel, Claude Duhr, Falko Dulat, Brenda Penante, Lorenzo Tancredi“...Abstract We propose a variant of elliptic multiple polylogarithms that have at most logarithmic...”
Published 2019-01-01
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95“... polylogarithms and one- or two-fold integrals of polylogarithms and irrational functions, up to transcendentality...”
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96“... the rational function field F_q(\theta) and also finite Carlitz multiple star polylogarithms. We show...”
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97“... are expressed in terms of harmonic polylogarithms and real-valued cyclotomic harmonic polylogarithms....”
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100“... of cyclotomic polylogarithms up to weight four. We also introduce an algorithm for the numerical evaluation...”
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