In the present work, we propose a method to build solutions to a general form of the stationary Kompaneets equation. In the nonrelativistic regime, special attention is given to cases where the solutions are expressed in terms of Heun functions. A comparison with the results obtained within a numerical analysis is also briefly discussed.
机构:
Graduate School, China Academy of Engineering and Physics, P O Box 2101, Beijing
Dept, of Math, Liaocheng Teachers Univ, 252000, Shandong
Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, BeijingGraduate School, China Academy of Engineering and Physics, P O Box 2101, Beijing
Liu X.
Jiang S.
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机构:
Graduate School, China Academy of Engineering and Physics, P O Box 2101, Beijing
Dept, of Math, Liaocheng Teachers Univ, 252000, Shandong
Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, BeijingGraduate School, China Academy of Engineering and Physics, P O Box 2101, Beijing
机构:
Donghua Univ, Modern Text Inst, Shanghai 200051, Peoples R ChinaDonghua Univ, Modern Text Inst, Shanghai 200051, Peoples R China
He, Ji-Huan
Zeng, De-Qiang
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机构:
Key Lab Numer Simulat Sichuan Prov, Neijiang 641112, Sichuan, Peoples R China
Neijiang Normal Univ, Coll Math & Informat Sci, Neijiang 641112, Sichuan, Peoples R ChinaDonghua Univ, Modern Text Inst, Shanghai 200051, Peoples R China