On the three families of extended Laguerrebased Apostoltype polynomials
DOI:
https://doi.org/10.22199/issn.071762792021020019Keywords:
GouldHopper polynomials, Laguerre type exponential, Unified Apostol type polynomials, Extended Laguerrebased Apostol type polynomials, Fubini polynomials, Bell polynomialsAbstract
In this paper, we introduce a new class of generalized extended Laguerrebased ApostoltypeBernoulli, ApostoltypeEuler and ApostoltypeGenocchi polynomials. These Apostol type polynomials are used to connect FubiniHermite and BellHermite polynomials and to find new representations. We derive some implicit summation formulae and symmetric identities for these families of special functions by applying the generating functions.
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