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

Year 2015, Volume: 3 Issue: 2, 131 - 139, 01.10.2015
https://izlik.org/JA96RL46GL

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.

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.

Year 2015, Volume: 3 Issue: 2, 131 - 139, 01.10.2015
https://izlik.org/JA96RL46GL

Abstract

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.
There are 10 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Research Article
Authors

Ahmed Ali Al Gonah

Submission Date July 10, 2014
Publication Date October 1, 2015
IZ https://izlik.org/JA96RL46GL
Published in Issue Year 2015 Volume: 3 Issue: 2

Cite

APA Al Gonah, A. A. (2015). SOME GENERATING RELATIONS INVOLVING 2-VARIABLE LAGUERRE AND EXTENDED SRIVASTAVA POLYNOMIALS. Konuralp Journal of Mathematics, 3(2), 131-139. https://izlik.org/JA96RL46GL
AMA 1.Al Gonah AA. SOME GENERATING RELATIONS INVOLVING 2-VARIABLE LAGUERRE AND EXTENDED SRIVASTAVA POLYNOMIALS. Konuralp J. Math. 2015;3(2):131-139. https://izlik.org/JA96RL46GL
Chicago Al Gonah, Ahmed Ali. 2015. “SOME GENERATING RELATIONS INVOLVING 2-VARIABLE LAGUERRE AND EXTENDED SRIVASTAVA POLYNOMIALS”. Konuralp Journal of Mathematics 3 (2): 131-39. https://izlik.org/JA96RL46GL.
EndNote Al Gonah AA (October 1, 2015) SOME GENERATING RELATIONS INVOLVING 2-VARIABLE LAGUERRE AND EXTENDED SRIVASTAVA POLYNOMIALS. Konuralp Journal of Mathematics 3 2 131–139.
IEEE [1]A. A. Al Gonah, “SOME GENERATING RELATIONS INVOLVING 2-VARIABLE LAGUERRE AND EXTENDED SRIVASTAVA POLYNOMIALS”, Konuralp J. Math., vol. 3, no. 2, pp. 131–139, Oct. 2015, [Online]. Available: https://izlik.org/JA96RL46GL
ISNAD Al Gonah, Ahmed Ali. “SOME GENERATING RELATIONS INVOLVING 2-VARIABLE LAGUERRE AND EXTENDED SRIVASTAVA POLYNOMIALS”. Konuralp Journal of Mathematics 3/2 (October 1, 2015): 131-139. https://izlik.org/JA96RL46GL.
JAMA 1.Al Gonah AA. SOME GENERATING RELATIONS INVOLVING 2-VARIABLE LAGUERRE AND EXTENDED SRIVASTAVA POLYNOMIALS. Konuralp J. Math. 2015;3:131–139.
MLA Al Gonah, Ahmed Ali. “SOME GENERATING RELATIONS INVOLVING 2-VARIABLE LAGUERRE AND EXTENDED SRIVASTAVA POLYNOMIALS”. Konuralp Journal of Mathematics, vol. 3, no. 2, Oct. 2015, pp. 131-9, https://izlik.org/JA96RL46GL.
Vancouver 1.Al Gonah AA. SOME GENERATING RELATIONS INVOLVING 2-VARIABLE LAGUERRE AND EXTENDED SRIVASTAVA POLYNOMIALS. Konuralp J. Math. [Internet]. 2015 Oct. 1;3(2):131-9. Available from: https://izlik.org/JA96RL46GL
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