Prospects for Applied Mathematics and Data Analysis PAMDA 2836-4449 10.54216/PAMDA https://www.americaspg.com/journals/show/1434 2022 2022 Departement of Mathematics, port said, Egypt Ahmed Salamah Departement of Mathematics, Albaath University, Homs, Syria Malath F. Alaswad Departement of Mathematics, Albaath University, Homs, Syria Rasha Dallah 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 2023 08 22 10.54216/PAMDA.010101 https://www.americaspg.com/articleinfo/34/show/1434