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On a pair of functions useful in heat conduction problems

โœ Scribed by M. Aslam Chaudhry; Syed M. Zubair

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
319 KB
Volume
21
Category
Article
ISSN
0735-1933

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โœฆ Synopsis

The temperature and heat flux solutions of several heat conduction problems in a semi-infinite solid with a boundary condition of the third kind can be expressed in terms of the functions, E(u, v) and F(u, v). It is shown that these functions can be expressed by exponential and complementary error functions. We also present the graphical as well as tabular representations of the functions for practical use.

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โœ M.T. Boudjelkha; M.Aslam Chaudhry ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 84 KB

Several asymptotic expansions are given for the generalized incomplete gamma ลฝ . x infinity, where the real parameter โฃ is allowed to take negative values. In the case b s yi, ) 0, we obtain the expansions of the decomposition functions ลฝ . ลฝ . C โฃ, x; and S โฃ, x; . Closed form expressions are also