English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

A Fuchsian system of rank 8 in 3 variables with 4 parameters is presented.The singular locus consists of six planes and a cubic surface. The restrictionof the system onto the intersection of two singular planes is an ordinarydifferential equation of order four with three singular points. A middleconvolution of this equation turns out to be the tensor product of two Gausshypergeometric equation, and another middle convolution sends this equation tothe Dotsenko-Fateev equation. Local solutions to these ordinary differentialequations are found. Their coefficients are sums of products of the Gammafunctions. These sums can be expressed as special values of the generalizedhypergeometric series $_4F_3$ at 1.  Keywords: Fuchsian differential equation, hypergeometric differentialequation, middle convolution, Dotsenko-Fateev equation, recurrence formula,series solution

A study of a Fuchsian system of rank 8 in 3 variables and the ordinary differential equations as its restrictions