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Generating Kummer Type Formulas for Hypergeometric Functions
2003Kummer type formulas are identities of hypergeometric series. A symmetry by the permutations of n-letters yields these formulas. We will present an algorithmic method to derive known and new Kummer type formulas. The algorithm utilizes several algorithms in algebra and geometry for generating Kummer type formulas.
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Harmonic sums from the Kummer theorem
Journal of Mathematical Analysis and Applications, 2021Wenchang Chu
exaly
Higher dimensional Enriques varieties and automorphisms of generalized Kummer varieties
Journal Des Mathematiques Pures Et Appliquees, 2011Samuel Boissière
exaly
Accelerating Airy–Gauss–Kummer localized wave packets
Annals of Physics, 2014Wei-ping Zhong +2 more
exaly
A note on Turán type and mean inequalities for the Kummer function
Journal of Mathematical Analysis and Applications, 2009Michael B Gordy
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Weierstrass semigroups from Kummer extensions
Finite Fields and Their Applications, 2017Shudi Yang
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The Kummer tensor density in electrodynamics and in gravity
Annals of Physics, 2014Yakov Itin, Friedrich W Hehl
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Arithmetic on abelian and Kummer varieties
Finite Fields and Their Applications, 2016Damien Robert
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Kummer theory for number fields and the reductions of algebraic numbers
International Journal of Number Theory, 2019Antonella Perucca, Pietro Sgobba
exaly