On the Generalized Sylvester Polynomials

  • Nejla ÖzmenEmail author
  • Esra Erkuş-Duman
Conference paper
Part of the Trends in Mathematics book series (TM)


In this study, we give some new properties for the generalized Sylvester polynomials. The results obtained here include various families of multilinear and multilateral generating functions and miscellaneous properties. In addition, we derive a theorem giving certain families of bilateral generating functions for the generalized Sylvester polynomials and the Lauricella functions. Finally, we get several results of this theorem.


  1. 1.
    A.K. Agarwal, H.L. Monacha, On some new generating functions. Indian J. Pure Appl. Math. 13, 1369–1375 (1982)MathSciNetGoogle Scholar
  2. 2.
    A. Erdélyi, W. Magnus, F. Oberhettinger, F.G. Tricomi, Higher Transcendental Functions, vol. III (McGraw-Hill, New York, 1955)zbMATHGoogle Scholar
  3. 3.
    S.J. Liu, S.D. Lin, H.M. Srivastava, M.M. Wong, Bilateral generating functions for the Erkus-Srivastava polynomials and the generalized Lauricella functions. Appl. Math. Comput. 218, 7685–7693 (2012)MathSciNetzbMATHGoogle Scholar
  4. 4.
    N. Özmen, E. Erkuş-Duman, On the Poisson-Charlier polynomials. Serdica Math. J. 41, 457–470 (2015)MathSciNetGoogle Scholar
  5. 5.
    N. Özmen, E. Erkuş-Duman, Some families of generating functions for the generalized Cesáro polynomials. J. Comput. Anal. Appl. 25(4), 670–683 (2018)MathSciNetGoogle Scholar
  6. 6.
    H.M. Srivastava, M.C. Daoust, Certain generalized Neumann expansions associated with the Kampé de Fériet function. Nederl. Akad. Westensch. Indag. Math. 31, 449–457 (1969)zbMATHGoogle Scholar
  7. 7.
    H.M. Srivastava, H.L. Manocha, A Treatise on Generating Functions (Wiley, New York, 1984)zbMATHGoogle Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Faculty of Art and Science, Department of MathematicsDüzce UniversityDüzceTurkey
  2. 2.Faculty of Science, Department of MathematicsGazi UniversityAnkaraTurkey

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