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We introduce an interpolation between Euler integral and Laplace integral: Euler-Laplace integral.
Hypergeometric functions of two variables
A. Erdélyi · 1950
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Higher transcendental functions. Vols. I, II
Arthur Erdélyi, Wilhelm Magnus, Fritz Oberhettinger, and Francesco G. Tricomi · 1953
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Géométrie algébrique et géométrie analytique
Jean-Pierre Serre · 1956
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Triangulation of semi-analytic sets
S. Lojasiewicz · 1964
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Remarks on the method of stationary phase and on the Coxeter numbers
V. I. Arnold · 1973
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Equations aux différences linéaires et les intégrales des fonctions multiformes. I. Théorème d’existence
Kazuhiko Aomoto · 1974
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Asymptotic behavior of the Fourier transform of the exponential of a polynomial
M. V. Fedorjuk · 1976
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Stratifications de Whitney et théorème de Bertini-Sard
Jean-Louis Verdier · 1976
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Newton polyhedra, and toroidal varieties
A. G. Hovanskiĭ · 1977
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Configurations and invariant Gauss-Manin connections of integrals. I
Kazuhiko Aomoto · 1982
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La descente des cols par les onglets de Lefschetz, avec vues sur Gauss-Manin
Frédéric Pham · 1983
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Monodromy of hypergeometric functions and nonlattice integral monodromy
P. Deligne and G. D. Mostow · 1986
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General theory of hypergeometric functions
I. M. Gel’fand · 1986
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Homology of a local system on the complement of hyperplanes
Toshitake Kohno · 1986
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Fock space representations of the Virasoro algebra. Intertwining operators
Akihiro Tsuchiya and Yukihiro Kanie · 1986
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Algebraic D D -modules
A. Borel, P.-P. Grivel, B. Kaup, A. Haefliger, B. Malgrange, and F. Ehlers · 1987
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Holonomic systems of equations and series of hypergeometric type
I. M. Gel’fand, M. I. Graev, and A. V. Zelevinskiĭ · 1987
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Hypergeometric functions and toric varieties
I. M. Gel’fand, A. V. Zelevinskiĭ, and M. M. Kapranov · 1989
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Generalized Euler integrals and A A -hypergeometric functions
I. M. Gel’fand, M. M. Kapranov, and A. V. Zelevinsky · 1990
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General hypergeometric systems of equations and series of hypergeometric type
I. M. Gel’fand, M. I. Graev, and V. S. Retakh · 1992
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The generalized confluent hypergeometric functions
Hironobu Kimura, Yoshishige Haraoka, and Kyouichi Takano · 1992
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The monodromy of the period map of a 4 4 -parameter family of K 3 K3 surfaces and the hypergeometric function of type ( 3 , 6 ) (3,6)
Keiji Matsumoto, Takeshi Sasaki, and Masaaki Yoshida · 1992
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Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori
Victor V. Batyrev · 1993
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Hypergeometric series
B. Dwork and F. Loeser · 1993
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On hypergeometric functions in several variables. II. The Wronskian of the hypergeometric functions of type ( n + 1 , m + 1 ) (n+1,m+1)
Michitake Kita · 1993
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Monodromy of the hypergeometric differential equation of type ( 3 , 6 ) (3,6) . I
Keiji Matsumoto, Takeshi Sasaki, Nobuki Takayama, and Masaaki Yoshida · 1993
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Hypergeometric functions and rings generated by monomials
Alan Adolphson · 1994
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Discriminants, resultants, and multidimensional determinants
I. M. Gel’fand, M. M. Kapranov, and A. V. Zelevinsky · 1994
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Intersection theory for twisted cycles
Michitake Kita and Masaaki Yoshida · 1994
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Intersection theory for twisted cycles. II. Degenerate arrangements
Michitake Kita and Masaaki Yoshida · 1994
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Intersection theory for twisted cohomologies and twisted Riemann’s period relations. I
Koji Cho and Keiji Matsumoto · 1995
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D D -modules, perverse sheaves, and representation theory
Ryoshi Hotta, Kiyoshi Takeuchi, and Toshiyuki Tanisaki · 1995
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Periods for flat algebraic connections
Marco Hien · 2009
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Hypergeometric D-modules and twisted Gauß-Manin systems
Mathias Schulze and Uli Walther · 2009
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Algebraic A A -hypergeometric functions
Frits Beukers · 2010
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Triangulations
Jesús A. De Loera, Jörg Rambau, and Francisco Santos · 2010
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Irregular hypergeometric 𝒟 \mathscr{D} -modules
María-Cruz Fernández-Fernández · 2010
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Theory of hypergeometric functions
Kazuhiko Aomoto and Michitake Kita · 2011
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Monodromy zeta functions at infinity, Newton polyhedra and constructible sheaves
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Twisted de Rham cohomology groups of logarithmic forms
Kazuhiko Aomoto, Michitake Kita, Peter Orlik, and Hiroaki Terao · 1997
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On twisted de Rham cohomology
Alan Adolphson and Steven Sperber · 1997
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Hypergeometric functions, my love
Masaaki Yoshida · 1997
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Intersection numbers for logarithmic k k -forms
Keiji Matsumoto · 1998
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The determinant of a hypergeometric period matrix
Y. Markov, V. Tarasov, and A. Varchenko · 1998
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Resonant hypergeometric systems and mirror symmetry
Jan Stienstra · 1998
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Yutaka Matsui and Kiyoshi Takeuchi · 2011
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Resonance equals reducibility for A A -hypergeometric systems
Mathias Schulze and Uli Walther · 2012
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Twisted cycles and twisted period relations for Lauricella’s hypergeometric function F C F_{C}
Yoshiaki Goto · 2013
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Monodromy and Pfaffian of Lauricella’s F D F_{D} in terms of the intersection forms of twisted (co)homology groups
Keiji Matsumoto · 2013
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Introduction to Stokes structures
Claude Sabbah · 2013
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Unimodular triangulations of dilated 3-polytopes
F. Santos and G. M. Ziegler · 2013
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Monodromy of Lauricella’s hypergeometric F A F_{A} -system
Keiji Matsumoto and Masaaki Yoshida · 2014
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Confluent A A -hypergeometric functions and rapid decay homology cycles
Alexander Esterov and Kiyoshi Takeuchi · 2015
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Centrally symmetric configurations of order polytopes
Takayuki Hibi, Kazunori Matsuda, Hidefumi Ohsugi, and Kazuki Shibata · 2015
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Pfaffian of Appell’s hypergeometric system ℱ 4 \mathcal{F}_{4} in terms of the intersection form of twisted cohomology groups
Yoshiaki Goto, Jyoichi Kaneko, and Keiji Matsumoto · 2016
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The monodromy representation of Lauricella’s hypergeometric function F C F_{C}
Yoshiaki Goto · 2016
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Pfaffian systems of A A -hypergeometric equations I: Bases of twisted cohomology groups
Takayuki Hibi, Kenta Nishiyama, and Nobuki Takayama · 2017
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Pfaffian equations and contiguity relations of the hypergeometric function of type ( k + 1 , k + n + 2 ) (k+1,k+n+2) and their applications
Yoshiaki Goto and Keiji Matsumoto · 2018
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Scattering amplitudes from intersection theory
Sebastian Mizera · 2018
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On the local monodromy of A A -hypergeometric functions and some monodromy invariant subspaces
María-Cruz Fernández-Fernández · 2019
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Decomposition of Feynman integrals on the maximal cut by intersection numbers
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Saiei-Jaeyeong Matsubara-Heo · 2019
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Feynman integrals and intersection theory
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On Mellin-Barnes integral representations for GKZ hypergeometric functions
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