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Mittag-Leffler-Gould-Hopper polynomials: Symbolic Approach
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The paper describes the method of symbolic evaluation that serves as a
useful tool to extend the studies of certain special functions including
their properties and capabilities. In the paper, we exploit certain
symbolic operators to introduce a new family of special polynomials,
which is called the Mittag-Leffler-Gould-Hopper polynomials. We obtain
the generating function, series definition and symbolic operational rule
for these polynomials. This approach give a wide platform to explore the
study of classical and hybrid special polynomials. We establish
summation formulae and certain identities for these polynomials.
Further, we derive the multiplicative and derivative operators to study
the quasi-monomiality property of these polynomials. Some concluding
remarks are also given.
Title: Mittag-Leffler-Gould-Hopper polynomials: Symbolic Approach
Description:
The paper describes the method of symbolic evaluation that serves as a
useful tool to extend the studies of certain special functions including
their properties and capabilities.
In the paper, we exploit certain
symbolic operators to introduce a new family of special polynomials,
which is called the Mittag-Leffler-Gould-Hopper polynomials.
We obtain
the generating function, series definition and symbolic operational rule
for these polynomials.
This approach give a wide platform to explore the
study of classical and hybrid special polynomials.
We establish
summation formulae and certain identities for these polynomials.
Further, we derive the multiplicative and derivative operators to study
the quasi-monomiality property of these polynomials.
Some concluding
remarks are also given.
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