Geodesic
A Function which Transforms Certain Graphs into Straight Lines for Simultaneous Solution
Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 261-266

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DOI

A function M is defined which maps the plane onto a square region in such a way that the planar graphs In, exp, X, —X, 1/X, and all compositions formed from them are transformed into straight lines. One can then solve for their intersections. It also provides a natural definition for the repeated composition of In with itself t times, where t can be a non-integer.
DOI : 10.4153/CMB-1980-036-9
Mots-clés : Primary; 40A99 sequences, series, summability—convergence and divergence of infinite limiting processes—miscellaneous, Secondary 41A30 Approximations and expansions—approximations by other special function classes, Infinite exponential representation, Base e infinite exponential, Repeated-composition function, The m function, The M function, Planar graphs′ intersection points, Ordered commutative group of Int graphs 
Jr., Laurence P. Maher. A Function which Transforms Certain Graphs into Straight Lines for Simultaneous Solution. Canadian mathematical bulletin, Tome 23 (1980) no. 3, pp. 261-266. doi: 10.4153/CMB-1980-036-9
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     author = {Jr., Laurence P. Maher},
     title = {A {Function} which {Transforms} {Certain} {Graphs} into {Straight} {Lines} for {Simultaneous} {Solution}},
     journal = {Canadian mathematical bulletin},
     pages = {261--266},
     year = {1980},
     volume = {23},
     number = {3},
     doi = {10.4153/CMB-1980-036-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-036-9/}
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