Laguerrebased HermiteBernoulli polynomials associated with bilateral series
Waseem Ahmad Khan$^1$, Serkan Araci$^2$, Mehmet Acikgoz$^{3}$ and Ayhan Esi$^4$
In the paper, we define Laguerrebased HermiteBernoulli 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.
Tbilisi Mathematical Journal, Vol. 11(2) (2018), pp. 111–121
