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 short review will be made of elliptic integrals, widely applied in GPS(Global Positioning System) communications (accounting for General RelativityTheory-effects), cosmology, Black hole physics and celestial mechanics. Then anovel analytical method for calculation of zero-order elliptic integrals in theLegendre form will be presented, based on the combination of several methodsfrom the theory of elliptic functions: 1. the recurrent system of equations forhigher-order elliptic integrals in two different representations. 2.uniformization of four-dimensional algebraic equations by means of theWeierstrass elliptic function 3.a variable transformation, inversely(quadratically) proportional to a new variable. The developed method is a stepforward towards constructing analytical methods, which can improve theprecision of the calculation of elliptic integrals, necessary both fortheoretical and experimental problems.

New methods for analytical calculation of elliptic integrals, applied in various physical problems