Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/1475 2022 2022 Faculty of Science, Tishreen University, Lattakia, Syria Mohammad Abobala Department of Mathematical Statistics, Faculty of Science, University of Aleppo, Aleppo, Syria Mohamed Bisher Zeina 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 2023 18 24 10.54216/GJMSA.030103 https://www.americaspg.com/articleinfo/33/show/1475