From: ivgroups@onlinehome.de   
      
   "Krzysztof Mitko"  schrieb im Newsbeitrag   
   news:0001HW.2108B7D000CB2EEB70000B8322CF@news.neostrada.pl...   
   >> are there applications in chemistry in which a closed-form expression   
   >> exists for a function of one variable, where the function is a function   
   >> composed of at least two different transcendental functions?   
   >> Could you please name some examples of such applications?   
   > I’m not a mathematician, so I’m not sure if I understandcorrectly the   
   > terms you used. Does this type of equation meets your criteria?   
   > f(x) = constant1 * ln(x) + constant2 * ln (x) + constant3   
   For the definition of algebraic functions, look e.g. at   
   https://en.wikipedia.org/wiki/Algebraic_function . That are polynomials or   
   rational functions, with and without e.g. roots.   
   All other functions (the non-algebraic functions) are transcendental   
   functions. Take e.g. the standard functions (Special functions), e.g. sin,   
   arctan, exp, ln, LambertW, Gamma, erf, Si, si.   
   For transcendental functions, look e.g. at   
   https://en.wikipedia.org/wiki/Transcendental_function .   
   For some Special functions, look e.g. at   
   https://en.wikipedia.org/wiki/List_of_mathematical_functions .   
      
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