Comparing $$a^b$$ and $$b^a$$ via Location of Zeros
Author:
Funder
Department of Higher Education, Science and Technology and Biotechnology, Govt. of West Bengal
Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s00283-024-10342-5.pdf
Reference10 articles.
1. B. Chakraborty. A visual proof that $$b^a < a^b$$ when $$e \le a < b$$. International Journal of Mathematical Education in Science and Technology, 2022. https://doi.org/10.1080/0020739X.2022.2102547.
2. R. M. Corless, G. H. Gonnet, et al. On the Lambert $$W$$ function. Advances in Computational Mathematics 5 (1996), 329–359. https://doi.org/10.1007/BF02124750.
3. L. Euler. De serie lambertina plurimisque eius insignibus proprietatibus. Acta Academiae Scientarum Imperialis Petropolitinae 2 (1783), 29–51.
4. C. D. Gallant. Proof without words: comparing $$b^a$$ and $$a^b$$ for $$a
5. N. Haque and Á. Plaza. Proving inequalities via definite integration: a visual approach. Mathematical Gazette 107:568 (2023), 136–140. https://doi.org/10.1017/mag.2023.20.
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