2007/01/16 by Rabindra Nath Das, Das, Rabindra Nath
Engineering · Mathematics · Physics and Astronomy · #Astrophysics (astro-ph) #FOS: Physical sciences #Numerical methods in inverse problems #Radiative Heat Transfer Studies #Thermal Radiation and Cooling Technologies #astro-ph
paper · pdf · doi:10.48550/arxiv.astro-ph/0701460
arxiv created 2007/01/16 · openalex publication_date 2007/01/16 · arxiv updated 2009/12/01 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
In this paper the linear non linear non homogenous integral equations of H- functions is considered to find a new form of H- function as its solution.The Wiener Hopf technique is used to express a known function into two functions with different zones of analyticity.The linear non homogenous integral equation is thereafter expressed into two different sets of function having different zones of regularity.The modified form of Lioville's theorem is used thereafter.Cauchy's integrl formulae are used to determine functional representation over the cut region in a complex plane.The new form off H function is derived both for conservative and non conservative cases.The exiatence of solution of linear nonhomogenous integral equations and its uniqueness are shown.For numerical calculation of this new H-function,a set of useful formulae are derived both for conservative and non conservative cases.