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

Recently, Feng, Kuznetsov and Yang discovered a very general reductionformula for a sum of products of the generalized hypergeometric functions (J.Math. Anal. Appl. 443(2016), 116--122). The main goal of this note is topresent a generalization of a particular case of their identity when thegeneralized hypergeometric function is reduced to the Kummer function 1F1. Ourgeneralized formula contains an additional integer shift in the bottomparameter of the Kummer function. The key ingredient of the proof is asummation formula for the Clausen series 3F2(1) with two integral parameterdifferences of opposite sign. In the ultimate section of the paper we proveanother formula for a particular product difference of the Kummer functions interms of a linear combination of these functions.

New identities for a sum of products of the Kummer functions