Demircan, Osman2025-01-272025-01-2720061109-2769https://hdl.handle.net/20.500.12428/13627A Hankel transform of the product of two Bessel J-functions under different restrictions on its parameters was approximated by infinite series expansions to the product of two hypergeometric functions, which in turn usually reduce to polynomials and thus, can be generated recursively. Such approximation makes the general transform very suitable for automatic computation. The transform concerned arise in the theory of the light changes of eclipsing binary star systems.eninfo:eu-repo/semantics/closedAccessAppell hypergeometric functions; Bailey's theorem; Bessel J-functions; Hypergeometric functions; Jacobi polynomial; Pochhammer symbolArticle5139412-s2.0-29944445971Q2