SOME GENERATING RELATIONS INVOLVING 2-VARIABLE LAGUERRE AND EXTENDED SRIVASTAVA POLYNOMIALS
SOME GENERATING RELATIONS INVOLVING 2-VARIABLE LAGUERRE AND EXTENDED SRIVASTAVA POLYNOMIALS
In this paper, we derive families of bilateral and mixed multilateral generating relations involving 2-variable Laguerre and extended Srivastava polynomials. Further, several bilateral and trilateral generating functions involving 2-variable Laguerre polynomials and other classical polynomials are obtained as applications of main results.
___
- [1] G. Dattoli, A. Torre, Operational methods and two variable Laguerre polynomials,
Atti Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur. 132 (1998)
1-7.
- [2] G. Dattoli, A. Torre, Exponential operators, quasi-monomials and generalized
polynomials, Radiat. Phys. Chem. 57 (2000) 21-26.
- [3] B. Gonzalez, J. Matera, H.M. Srivastava, Some q-generating functions and
associated generalized hypergeometric polynomials, Math. Comput. Mod-
elling 34(2001) 133{175.
- [4] S.-D. Lin, I.-C. Chen, H.M. Srivastava, Certain classes of nite-series relationships
and generating functions involving the generalized Bessel polynomials,
Appl. Math. Comput. 137 (2003) 261-275.
- [5] S.-D. Lin, H.M. Srivastava, P.Y. Wang, Some families of hypergeometric
transformations and generating relations, Math. Comput. Model. 36
(2002) 445-459.
- [6] M.A. O
zarslan, Some families of generating functions for the extended Srivastava
polynomials, Appl. Math. Comput. 218 (2011) 959-964.
- [7] M.A. O
zarslan, A. Altin, Some families of generating functions for the multiple
orthogonal polynomials associated with modi ed Bessel K-functions,
J. Math. Anal. Appl. 297 (2004) 186{193.
- [8] E.D. Rainville, Special Functions, Macmillan, New York, 1960, reprinted
by Chelsea Publ. Co., Bronx, New York, 1971.
- [9] H.M. Srivastava, A contour integral involving Fox's H-function, Indian J.
Math. 14 (1972) 1{6.
- [10] H.M. Srivastava, H.L. Manocha, A Treatise on Generating Functions, Halsted
Press, New York, 1984.