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The main aim of this paper is to introduce and study the generalized Laguerre polynomials and prove that these polynomials are characterized by the generalized hypergeometric function. Also we investigate some properties and formulas for these polynomials such as explicit representations, generating functions, recurrence relations, differential equation, Rodrigues formula, and orthogonality.
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참고문헌 (18)
참고문헌 신청
S. Alam / 2007 / On generating functions of modified Laguerre polynomials / Rev. R. Acad. Cienc. Exactas F´ıs. Qu´ım. Nat. Zaragoza 62:91~98
A. Ali / 2019 / Generalization of Bateman polynomial / Int. J. Anal. App 17(5):803~808
G. E. Andrews / 1999 / Special functions / Cambridge University Press
Junesang Choi / 2003 / Notes on formal manipulations of double series / 대한수학회논문집 18(4):781~789
E. Hendriksen / 1990 / A weight function for the associated Jacobi-Laurent polynomials / J. Comput. Appl. Math 33(2):171~180
A. Ali / 2019 / Generalization of Bateman polynomial / Int. J. Anal. App 17(5):803~808
G. E. Andrews / 1999 / Special functions / Cambridge University Press
Junesang Choi / 2003 / Notes on formal manipulations of double series / 대한수학회논문집 18(4):781~789
E. Hendriksen / 1990 / A weight function for the associated Jacobi-Laurent polynomials / J. Comput. Appl. Math 33(2):171~180
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