2016/04/27 by van Hoeij, Mark, Kunwar, Vijay Jung · 1 citation
#05-04 #05C30 #05C85 #34-04 #68W30 #Combinatorics (math.CO) #FOS: Mathematics #G.2.1 #G.2.2 #I.1.2
paper · doi:10.48550/arxiv.1604.08158
We classify all rational functions whose branching pattern above 0, 1, infinity satisfy a certain regularity condition with precisely d=5 exceptions. This work is motivated by solving second order linear differential equations, with d=5 true singularities, in terms of hypergeometric functions. A similar problem was solved for d=4 by Vidunas and Filipuk.