On the numerical evaluation of the J-integrals

Details On the numerical evaluation of the J-integrals On the numerical evaluation of the J-integrals

Dec 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976ap%26ss..45..483l&link_type=abstract

Astrophysics and Space Science, vol. 45, Dec. 1976, p. 483-490.

Mathematics

Eclipsing Binary Stars, Entire Functions, Numerical Integration, Recursive Functions, Annuli, Integral Calculus, Light Curve, Run Time (Computers), Series (Mathematics), Stellar Radiation

Scientific paper

All possible recursion formulas for J-integrals are studied which have a practical application to an annular eclipse. The relation existing between J-integrals and Appell functions is used to obtain these formulas, and two different sets of formulas are examined. It is shown that one of these sets gives rise to three formulas entailing variation of the m and gamma indices; these three formulas are also found to hold for the case of a partial eclipse.

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