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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We study the generalized hypergeometric function ${}_{m+1} F_m$ and the differential equation ${}_{m+1}E_m$ satisfied by it. We use the twisted (co)homology groups associated with an integral representation of Euler type. We evaluate the intersection numbers of some twisted cocycles which are defined as $m$-th exterior products of logarithmic $1$-forms. We also give twisted cycles corresponding to the series solutions to ${}_{m+1}E_m$, and evaluate the intersection numbers of them. These intersection numbers of the twisted (co)cycles lead twisted period relations which give relations for two fundamental systems of solutions to ${}_{m+1}E_m$.

kyushu journal of mathematics

INTERSECTION NUMBERS AND TWISTED PERIOD RELATIONS FOR THE GENERALIZED HYPERGEOMETRIC FUNCTION &lt;b&gt;&lt;i&gt;&lt;sub&gt;m&lt;/sub&gt;&lt;/i&gt;&lt;/b&gt;&lt;b&gt;&lt;sub&gt;+&lt;/sub&gt;&lt;/b&gt;&lt;sub&gt;1&lt;/sub&gt;&lt;b&gt;&lt;i&gt;F&lt;/i&gt;&lt;/b&gt;&lt;b&gt;&lt;i&gt;&lt;sub&gt;m &lt;/sub&gt;&lt;/i&gt;&lt;/b&gt;