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

In this paper, we consider the third-order differential equation of the quadratic products of Hermite functions and present the integral representations of products of Hermite functions (Lebedev identities) in terms of the confluent hypergeometric functions. Manipulating the integrands of these identities with various integral representations lead us to get new representations for the products of Hermite functions.

Lebedev identities and integral representations of products of Hermite functions