Laguerre-based Hermite-Bernoulli polynomials associated with bilateral series
MetadataShow full item record
CitationAhmad, K. W., Araci, S., Acikgoz, M., & Esi, A. (June 01, 2018). Laguerre-based Hermite-Bernoulli polynomials associated with bilateral series. Tbilisi Mathematical Journal, 11, 2, 111-121.
In the paper, we define Laguerre-based Hermite-Bernoulli polynomial with its generating function, and investigate certain properties. From this generating function, we derive summation formulas and related bilateral series associated with the newly introduced generating function. Some of whose special cases are also presented. Relevant connections of some results presented here with those involving simpler known partly unilateral and partly bilateral representations are also obtained.
SourceTBILISI MATHEMATICAL JOURNAL
Showing items related by title, author, creator and subject.
We give some new formulae for product of two Genocchi polynomials including Euler polynomials and Bernoulli polynomials. Moreover, we derive some applications for Genocchi polynomials to study a matrix formulation. © 2014 ...
In this paper, we present a further investigation for the Apostol-Bernoulh polynomials and the Apostol-Genocchi polynomials. By making use of the generating function methods and summation transform techniques, we establish ...
Motivated by the paper of Kim et al. [T. Kim, D. S. Kim, H. I. Kwon, J. J. Seo, D. V. Dolgy, J. Nonlinear Sci. Appl., 9 (2016), 1077-1082], we study a class of q-Euler polynomials earlier given by Kim et al. in [T. Kim, ...