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

Yıl 2015, Cilt: 3 Sayı: 2, 131 - 139, 01.10.2015

Öz

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.

Kaynakça

  • [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.
Yıl 2015, Cilt: 3 Sayı: 2, 131 - 139, 01.10.2015

Öz

Kaynakça

  • [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.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Ahmed Ali Al Gonah

Yayımlanma Tarihi 1 Ekim 2015
Gönderilme Tarihi 10 Temmuz 2014
Yayımlandığı Sayı Yıl 2015 Cilt: 3 Sayı: 2

Kaynak Göster

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.
AMA Al Gonah AA. SOME GENERATING RELATIONS INVOLVING 2-VARIABLE LAGUERRE AND EXTENDED SRIVASTAVA POLYNOMIALS. Konuralp J. Math. Ekim 2015;3(2):131-139.
Chicago Al Gonah, Ahmed Ali. “SOME GENERATING RELATIONS INVOLVING 2-VARIABLE LAGUERRE AND EXTENDED SRIVASTAVA POLYNOMIALS”. Konuralp Journal of Mathematics 3, sy. 2 (Ekim 2015): 131-39.
EndNote Al Gonah AA (01 Ekim 2015) SOME GENERATING RELATIONS INVOLVING 2-VARIABLE LAGUERRE AND EXTENDED SRIVASTAVA POLYNOMIALS. Konuralp Journal of Mathematics 3 2 131–139.
IEEE A. A. Al Gonah, “SOME GENERATING RELATIONS INVOLVING 2-VARIABLE LAGUERRE AND EXTENDED SRIVASTAVA POLYNOMIALS”, Konuralp J. Math., c. 3, sy. 2, ss. 131–139, 2015.
ISNAD Al Gonah, Ahmed Ali. “SOME GENERATING RELATIONS INVOLVING 2-VARIABLE LAGUERRE AND EXTENDED SRIVASTAVA POLYNOMIALS”. Konuralp Journal of Mathematics 3/2 (Ekim 2015), 131-139.
JAMA 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, c. 3, sy. 2, 2015, ss. 131-9.
Vancouver Al Gonah AA. SOME GENERATING RELATIONS INVOLVING 2-VARIABLE LAGUERRE AND EXTENDED SRIVASTAVA POLYNOMIALS. Konuralp J. Math. 2015;3(2):131-9.
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