Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
A.K. Agarwal, H.L. Monacha, On some new generating functions. Indian J. Pure Appl. Math. 13, 1369–1375 (1982)
A. Erdélyi, W. Magnus, F. Oberhettinger, F.G. Tricomi, Higher Transcendental Functions, vol. III (McGraw-Hill, New York, 1955)
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)
N. Özmen, E. Erkuş-Duman, On the Poisson-Charlier polynomials. Serdica Math. J. 41, 457–470 (2015)
N. Özmen, E. Erkuş-Duman, Some families of generating functions for the generalized Cesáro polynomials. J. Comput. Anal. Appl. 25(4), 670–683 (2018)
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)
H.M. Srivastava, H.L. Manocha, A Treatise on Generating Functions (Wiley, New York, 1984)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Özmen, N., Erkuş-Duman, E. (2019). On the Generalized Sylvester Polynomials. In: Lindahl, K., Lindström, T., Rodino, L., Toft, J., Wahlberg, P. (eds) Analysis, Probability, Applications, and Computation. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-04459-6_5
Download citation
DOI: https://doi.org/10.1007/978-3-030-04459-6_5
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-04458-9
Online ISBN: 978-3-030-04459-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)