A Note on the H-Functions of Transfer Problems in Multiplying Media
Abstract
Some useful results and remodelled representations ofH-functions corresponding to the dispersion function <MediaObject> <ImageObject FileRef="10509_2004_Article_BF00645039_TeX2GIFE1.gif" Format="GIF" Color="BlackWhite" Type="Linedraw" Rendition="HTML"/> </MediaObject> Tleft( z right) = 1 - 2z^2 sumlimits_1^n {int_0^{λ r} {Y_r } left( x right){text{d}}x/left( {z^2 - x^2 } right)} are derived, suitable to the case of a multiplying medium characterized by <MediaObject> <ImageObject FileRef="10509_2004_Article_BF00645039_TeX2GIFE2.gif" Format="GIF" Color="BlackWhite" Type="Linedraw" Rendition="HTML"/> </MediaObject> γ _0 = sumlimits_1^n {int_0^{λ r} {Y_r } left( x right){text{d}}x > tfrac{1}{2} Rightarrow ξ = 1 - 2γ _0< 0}
- Publication:
-
Astrophysics and Space Science
- Pub Date:
- February 1978
- DOI:
- 10.1007/BF00645039
- Bibcode:
- 1978Ap&SS..53..517D
- Keywords:
-
- Chandrasekhar Equation;
- Dispersion;
- Functions (Mathematics);
- Radiative Transfer;
- Integral Equations;
- Linear Equations;
- Nonlinear Equations;
- Astrophysics