OICC Press Journal of Theoretical and Applied Physics 2251-7235 19 4 2025 08 31 A hypergeometric sequence of biorthogonal polynomials and its relationship with Meixner-Pollaczek polynomials 10.57647/j.jtap.2025.1904.38 EN Mohammad Masjed-Jamei Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran Nasser Saad School of Mathematical and Computational Sciences, University of Prince Edward Island, Charlottetown, Canada Journal Article 2025 08 31 Some orthogonal polynomial systems are mapped onto each other by the Fourier transform. In this paper, based on generalized Laguerre polynomials, we introduce a new sequence of biorthogonal hypergeometric polynomials and obtain its orthogonality relation explicitly. In this sense, we also recall some similar results available in the literature as the sequence introduced in this work is the last one for classical cases.