6533b861fe1ef96bd12c506e

RESEARCH PRODUCT

Generalizations of Clausen's formula and algebraic transformations of Calabi-Yau differential equations

Gert AlmkvistDuco Van StratenWadim Zudilin

subject

AlgebraPure mathematicsAlgebraic transformationsMonodromyDifferential equationGeneral MathematicsCalabi–Yau manifoldDifferential algebraic geometryGeneralized hypergeometric functionDifferential algebraic equationHypergeometric distributionMathematics

description

AbstractWe provide certain unusual generalizations of Clausen's and Orr's theorems for solutions of fourth-order and fifth-order generalized hypergeometric equations. As an application, we present several examples of algebraic transformations of Calabi–Yau differential equations.

yearjournalcountryeditionlanguage
2011-03-30
10.1017/s0013091509000959https://hdl.handle.net/21.11116/0000-0004-2204-121.11116/0000-0004-2206-F