NATURAL LOG OF ZERO IS A COMPLEX NUMBER
DOI:
https://doi.org/10.61841/9aweg008Keywords:
Mathematics, complex numbers, logarithm of zeroAbstract
We take the definition for n!, which takes on integer values for all n>=1, and, through a conjecture, generalize it to for all n> -infinity, from which we demonstrate that ln(0) is a complex number.
References
Bender, C.M. and Orszag, S.A. Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory, Springer Science and Business Media, New York, 1999. https://doi.org/10.1007/978-1-4757-3069-2
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