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A new heuristic method for the evaluation of definite integrals is presented.
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L. Lewin · 1981
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H. Flanders · 1982
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Hyperbolic Geometry: the first 150 150 years
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G. W. Cherry · 1985
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Integration in finite terms with special functions: the logarithmic function
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Hyperbolic manifolds and special values of Dedekind Zeta-functions
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Negative dimensional integration. 2. Path integrals and fermionic equivalence
G. V. Dunne and I. G. Halliday · 1987
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Negative dimensional integrals. I. Feynman graphs
I. G. Halliday and R. M. Ricotta · 1987
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More on Fresnel integrals
I. E. Leonard · 1988
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Integrals, an Introduction to Analytic Number Theory
I. Vardi · 1988
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An analysis of the rational exponential integral
G. W. Cherry · 1989
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Negative dimensional oscillators
G. V. Dunne and I. G. Halliday · 1989
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Hyperbolic invariants of knots and ideals
C. Adams, M. Hildebrand, and J. Weeks · 1991
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A method of evaluating massive Feynman integrals
E. E. Boos and A. I. Davydychev · 1991
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Some exact results for n n -point massive Feynman integrals
A. I. Davydychev · 1991
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General results for massive n n -point Feynman diagrams with different masses
A. I. Davydychev · 1992
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Integrals and Series
A. P. Prudnikov Yu. A. Brychkov O. I. Marichev · 1992
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Evaluation of two-loop self-energy diagram with three propagators
F. A. Lunev · 1994
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Quantum Field Theory
L. H. Ryder · 1996
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Symbolic Integration I. Transcendental functions
M. Bronstein · 1997
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Complex Variables
M. Ya. Antimirov, A. A. Kolyshkin, and R. Vaillancourt · 1998
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Quantum Field Theory. From operators to path integrals
K. Huang · 1998
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An easy way to solve two-loop vertex integrals
A. T. Suzuki and A. G. M. Schmidt · 1998
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Feynman integrals with tensorial structure in the negative dimensional integration scheme
A. T. Suzuki and A. G. M. Schmidt · 1999
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Application of the negative-dimension approach to massless scalar box integrals
C. Anastasiou, E. W. N. Glover, and C. Oleari · 2000
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The integrals in Gradshteyn and Ryzhik. Part 5: Some trigonometric integrals
T. Amdeberhan, L. Medina, and V. Moll · 2007
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Noncommutative Geometry, Quantum Fields and Motives
M. Connes and M. Marcolli · 2007
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Optimized negative dimensional integration method (NDIM) and multiloop Feynman diagram calculation
I. Gonzalez and I. Schmidt · 2007
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Table of Integrals, Series, and Products
I. S. Gradshteyn and I. M. Ryzhik · 2007
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The integrals in Gradshteyn and Ryzhik. Part 1: A family of logarithmic integrals
V. Moll · 2007
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The integrals in Gradshteyn and Ryzhik. Part 2: Elementary logarithmic integrals
V. Moll · 2007
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Scalar one-loop integrals using the negative-dimension approach
C. Anastasiou, E. W. N. Glover, and C. Oleari · 2000
Cited alongside, same era.
Table of Integrals, Series, and Products
I. S. Gradshteyn and I. M. Ryzhik · 2000
Cited alongside, same era.
Knots and Feynman diagrams
D. Kreimer · 2000
Cited alongside, same era.
Negative dimensional approach for scalar two loop three-point and three-loop two-point integrals
A. T. Suzuki and A. G. M. Schmidt · 2000
Cited alongside, same era.
On some definite integrals involving the Hurwitz zeta function. Part 1
O. Espinosa and V. Moll · 2002
Cited alongside, same era.
Massless and massive one-loop three-point functions in negative dimensional approach
A. T. Suzuki and A. G. M. Schmidt · 2002
Cited alongside, same era.
The integrals in Gradshteyn and Ryzhik. Part 3: Combinations of logarithms and exponentials
V. Moll · 2007
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The integrals in Gradshteyn and Ryzhik. Part 4: The gamma function
V. Moll · 2007
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The integrals in Gradshteyn and Ryzhik. Part 7: Elementary examples
T. Amdeberhan and V. Moll · 2008
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Evaluation of a ln tan \ln\tan integral arising in quantum field theory
M. Coffey · 2008
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Personal communication
R. Crandall · 2008
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The evaluation of Tornheim double sums. Part 2
O. Espinosa and V. Moll · 2008
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Quantum Field Theory. A Tourist Guide for Mathematicians
G. Folland · 2008
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Modular application of an integration by fractional expansion (IBFE) method to multiloop Feynman diagrams
I. Gonzalez and I. Schmidt · 2008
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Computing one of Victor Moll’s irresistible integrals with computer algebra
C. Koutschan and V. Levandovskyy · 2008
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The integrals in Gradshteyn and Ryzhik. Part 6: The beta function
V. Moll · 2008
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The integrals in Gradshteyn and Ryzhik. Part 8: Combinations of powers, exponentials and logarithms
V. Moll, J. Rosenberg, A. Straub, and P. Whitworth · 2008
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Negative dimensional approach to evaluating real integrals
A. T. Suzuki · 2008
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A formula for a quartic integral: a survey of old proofs and some new ones
T. Amdeberhan and V. Moll · 2009
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Alternative evaluation of a ln tan \ln\tan integral arising in quantum field theory
M. Coffey · 2009
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A remarkable sequence of integers
D. Manna and V. Moll · 2009
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A class of logarithmic integrals
L. Medina and V. Moll · 2009
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