aspg-33-1475-1792226231 20261017083711 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 2023 3 1 Mohammad Abobala Faculty of Science, Tishreen University, Lattakia, Syria Mohamed Bisher Zeina Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria The objective of this paper is to study and define the neutrosophic real functions with one neutrosophic variable depending on the geometric isometry (AH-Isometry), with a lot of concepts from real analysis including continuality, differentiability, integrability. We have presented the formal forms of different popular functions in neutrosophic environment like logarithmic function, exponential function, trigonometric functions. Rising neutrosophic numbers to any power is well defined including rising to neutrosophic powers. 2023 18 24 1475 https://creativecommons.org/licenses/by/4.0/ 10.54216/GJMSA.030103 https://americaspg.com/journal/33/article/1475 https://americaspg.com/storage/91674205655.pdf