This paper brings numbers in such a way that both sides of the expressions are with same digits. One side is digits with factorial and another side are with same digits with respective powers. These types of expressions, we call as selfie expressions. Three types of expressions are studied. One when digits involved are distinct, second when there is a repetition of digits but only with positive sign. The third type is with repetition of digits with positive and negative signs. In all the cases the digits follow the same order but the operations. Operations used are only addition, subtraction and multiplications. This we have done with two ways. One having only positive sign and second with positive and negative signs. In both the cases operation of multiplication and composite relation are used. In case of positive sign, the results are up to five terms expressions.
Links for download:
- I.J. TANEJA, Factorial-Power Selfie Expressions – I, RGMIA Research Report Collection, 20(2017), Art. 36, pp. 1-55, http://rgmia.org/papers/v20/v20a36.pdf.
- I.J. TANEJA, Factorial-Power Selfie Expressions – II, RGMIA Research Report Collection, 20(2017), Art. 96, pp. 1-47, http://rgmia.org/papers/v20/v20a96.pdf.
The above two works are combined in:
- Inder J. Taneja, Factorial-Power Selfie Expressions, Zenodo, Open Access. February 20, 2019, pp. 1-115, http://doi.org/10.5281/zenodo.2573569.