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This paper deals with Mellin transforms of rational functions $g/f$ in several variables.
Salomon Bochner: A theorem on analytic continuation of functions in several variables. Ann. of Math
1938
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Israel Gelfand, Mikhail Kapranov, Andrei Zelevinsky: Hypergeometric functions and toric varieties. Funct. Anal. Appl
1989
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Israel Gelfand, Mikhail Kapranov, Andrei Zelevinsky: Generalized Euler integrals and A A -hypergeometric functions. Adv. Math
1990
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Tatyana Ermolaeva, August Tsikh: Integration of rational functions over ℝ n \mathbb{R}^{n} by means of toric compactifications and multidimensional residues, Sbornik: Mathematics
1996
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Mikael Forsberg, Mikael Passare, August Tsikh: Laurent determinants and arrangements of hyperplane amoebas, Adv. in Math
2000
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Matsumi Saito, Bernd Sturmfels, Nobuki Takayama: Gröbner Deformations of Hypergeometric Differential Equations
2000
Cited alongside, same era.
Lars Hörmander: The Analysis of Linear Partial Differential Operators 1
2003
Cited alongside, same era.
Mats Andersson, Mikael Passare, Ragnar Sigurdsson: Complex Convexity and Analytic Functionals
2004
Cited alongside, same era.
Irina Antipova: Inversions of multidimensional Mellin transforms and solutions of algebraic equations. Sb. Math
2007
Cited alongside, same era.
Lars Hörmander: Notions of convexity
2007
Cited alongside, same era.
Mounir Nisse, Frank Sottile: Manuscript under preparation
Cited in the paper.
Israel Gelfand, Mikhail Kapranov, Andrei Zelevinsky: Discriminants, Resultants and Multidimensional Determinants
2008
Later among the works it cites.
Lisa Nilsson: Amoebas, discriminants, and hypergeometric functions
2009
Later among the works it cites.
Frits Beukers: Algebraic A A -hypergeometric functions. Invent. Math
2010
Closest in time.
Petter Johansson: Coamoebas
2010
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