On a fundamental system of solutions of a certain hypergeometric equation
Abstract
We study the linear Pfaffian systems satisfied by a certain class of hypergeometric functions, which includes Gau's 2 F1, Thomae's L FL-1 and Appell-Lauricella's FD. In particular, we present a fundamental system of solutions with a characteristic local behavior by means of Euler-type integral representations. We also discuss how they are related to the theory of isomonodromic deformations or Painlev\'e equations.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.