Generalizations of Clausen's Formula and algebraic transformations of Calabi–Yau differential equations

Gert Almkvist, Duco van Straten, Wadim Zudilin
2011 Proceedings of the Edinburgh Mathematical Society  
We provide certain unusual generalizations of Clausen's and Orr's theorems for solutions of generalized hypergeometric equations of order 4 and 5. As application, we present several examples of algebraic transformations of Calabi-Yau differential equations.
doi:10.1017/s0013091509000959 fatcat:pmwrov4igjbtvkmpsu5kumatsy