TY  - JOUR
T1  - A note on Shively’s Pseudo-Laguerre Polynomials
AU  - Özmen, Nejla
PY  - 2019
DA  - October
Y2  - 2019
JF  - Conference Proceedings of Science and Technology
PB  - Murat TOSUN
WT  - DergiPark
SN  - 2651-544X
SP  - 73
EP  - 75
VL  - 2
IS  - 1
LA  - en
AB  - In this research, we esteblish some properties for the Shively’s Pseudo-Laguerre polynomials. We derive various families of multilinear and multilateral generating functions for a family of Shively’s Pseudo-Laguerre polynomials.
KW  - Multilinear and multilateral generating functions
KW  - recurrence relations
KW  - Shively’s Pseudo-Laguerre polynomials
CR  - [1] R. L. Shively, On pseudo-Laguerre polynomials, Michigan thesis;1953.
CR  - [2] E. D. Rainville, Special Function, Macmillan, New York, 1960.
CR  - [3] H. L. Srivastava, L. Shy-Der, L. Shuoh-Jung, L. Han-Chun, Integral representations for the Lagrange polynomials, Shivelys pseudo-Laguerre polynomials, and the generalized
Bessel polynomials, Russ. J. Math. Phys., 19 (1) (2012), 121-130.
CR  - [4] R. K. Jana, I. A. Salehbhai, A. K. Shukla, Shivleys polynomials of two variables, Int. J. of Math. Anal., 6 (36) (2012), 1757-1762.
CR  - [5] T. Letterio, Funzioni generatrici di particolari polinomi di Laguerre e de altri da essi dipendenti, Boll. Un. Mat. Ital. Ser.3, 7 (2) (1952), 160-167.
CR  - [6] M. A. Khan, A. H. Khan, S. M. Abbas, A note on pseudo Jacobi polynomials, Ain Shams Eng. J., 4 (2013), 127-131.
CR  - [7] H. M. Srivastava, H. L. Manocha, A Treatise on Generating Functions, Halsted Press, John Wiley and Sons, New York, 1984.
CR  - [8] E. Erkus-Duman, A. Altın, R. Aktas, Miscellaneous properties of some multivariable polynomials, Math. Comput. Modelling, 54 (2011), 1875-1885.
CR  - [9] R. Aktas, A. Altın, B. Cekim, On a two-variable analogue of Bessel functions, Journal of Inequalities and Special Functions, 3 (4) (2012), 13-23.
CR  - [10] N. Ozmen, E. Erkus-Duman, Some results for a family of multivariable polynomials, AIP Conf. Proc., 1558 (2013), 1124-1127.
CR  - [11] A. Altın, E. Erkus, On a multivariable extension of the Lagrange-Hermite polynomials, Integral Transform. Spec. Funct., 17 (4) (2006), 239-244.
CR  - [12] N. Ozmen, Some new properties of the Meixner polynomials, Sakarya Univ. J. Sci., 21 (6) (2017), 1454-1462.
UR  - https://dergipark.org.tr/en/pub/cpost/article/604259
L1  - https://dergipark.org.tr/en/download/article-file/843462
ER  -