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A Function which Transforms Certain Graphs into Straight Lines for Simultaneous Solution
Published online by Cambridge University Press: 20 November 2018
Abstract
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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.
Keywords
Primary; 40A99 sequencesseriessummability—convergence and divergence of infinite limiting processes—miscellaneousSecondary 41A30 Approximations and expansions—approximations by other special function classesInfinite exponential representationBase e infinite exponentialRepeated-composition functionThe m functionThe M functionPlanar graphs′ intersection pointsOrdered commutative group of Int graphs
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- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1980
References
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