Logarithms and Antilogarithms

Logarithms and Antilogarithms

An Algebraic Analysis Approach

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1. Preliminaries. Introduction to Algebraic Analysis.- 2. Basic equation. Logarithms and antilogarithms.- 3. Logarithms and antilogarithms of higher order.- 4. Logarithms and antilogarithms of operators having either finite nullity or finite deficiency.- 5. Reduction theorems.- 6. Multiplicative case.- 7. Leibniz algebras.- 8. Linear equations in Leibniz algebras.- 9. Trigonometric mappings and elements.- 10. Semigroup properties of solutions to linear equations.- 11. Operator ehD.- 12. Power mappings. Polylogarithmic functions. Nonlinear equations.- 13. Smooth logarithms and antilogarithms.- ...