aspg-34-1434-1791482400 20261008180000 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Prospects for Applied Mathematics and Data Analysis PAMDA 2836-4449 2023 1 1 Ahmed Salamah Departement of Mathematics, port said, Egypt Malath F. Alaswad Departement of Mathematics, Albaath University, Homs, Syria Rasha Dallah Departement of Mathematics, Albaath University, Homs, Syria This paper is dedicated to neutrosophic property functions its generalizations, especially neutrosophic Gamma function, neutrosophic Beta function, neutrosophic Zeta function. Also, this work gives the interested reader a background in the study of neutrosophic polynomial orthogonality. 2023 08 22 1434 https://creativecommons.org/licenses/by/4.0/ 10.54216/PAMDA.010101 https://www.americaspg.com/journal/34/article/1434 https://www.americaspg.com/storage/61701032217.pdf