Solving a generalized comparison of power expressions using the Lambert W-function
https://doi.org/10.26583/vestnik.2025.4.8
EDN: ZAHGVR
Abstract
Some properties of the new transcendental Lambert W function are presented: the definition of the function, its graph, coordinates of characteristic points, and simple identities. Several examples are given showing how the W function can be used to solve analytically transcendental equations that contain power, logarithmic, and exponential terms. A recently obtained solution of the comparison of two functional expressions of power type and is presented, which arises due to the generalization of the comparison of numbers and . An exact solution of the new generalized comparison of more complex power expressions and on sets of positive real numbers and for positive values of the exponent α is obtained for the first time. The solution is presented both as an exact formula using the Lambert W function and using graphs.
About the Author
A. E. Dubinov
Sarov Institute of Physics and Technology – Branch of National Research Nuclear University “MEPhI” (SarFTI–NRNU MEPhI);
Russian Federal Nuclear Center – All-Russia Scientific and Research Institute of Experimental Physics (RFNC–VNIIEF)
Russian Federation
Russian Federation
AuthorID: 28869
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Review
For citations:
Dubinov A.E. Solving a generalized comparison of power expressions using the Lambert W-function. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2025;14(4):357-367. (In Russ.) https://doi.org/10.26583/vestnik.2025.4.8. EDN: ZAHGVR
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