SOME GENERATING RELATIONS INVOLVING 2-VARIABLE LAGUERRE AND EXTENDED SRIVASTAVA POLYNOMIALS

Year 2015, Volume: 3 Issue: 2, 131 - 139, 01.10.2015

Ahmed Ali Al Gonah

Abstract

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.

Keywords

Generating relations, Laguerre polynomials, Extended Srivastava polynomials

References

• [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.