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Published in 2019 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2019.1697695
Abstract: ABSTRACT In this article, we first give some basic properties of generalized Hermite polynomials associated with parabolic cylinder functions. We next use Weisnerś group theoretic method and operational rules method to establish new generating functions…
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Keywords:
generalized hermite;
associated parabolic;
generating functions;
hermite polynomials ... See more keywords
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Published in 2018 at "International Journal of Number Theory"
DOI: 10.1142/s179304211850015x
Abstract: Recently, Araci et al. introduced (ρ,q)-analogue of the Haar distribution and by means of the distribution, they constructed (ρ,q)-Volkenborn integral yielding to Carlitz’s-type (ρ,q)-Bernoulli numbers and polynomials. The aim of the present paper is to…
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Keywords:
numbers polynomials;
volkenborn integrals;
polynomials associated;
associated volkenborn ... See more keywords