A note on q-analogue of Hermite-poly-Bernoulli numbers and polynomials
نویسندگان
چکیده
منابع مشابه
A Note on Degenerate Hermite Poly–bernoulli Numbers and Polynomials
In this paper, we introduce a new class of degenerate Hermite poly-Bernoulli polynomials and give some identities of these polynomials related to the Stirling numbers of the second kind. Some implicit summation formulae and general symmetry identities are derived by using different analytical means and applying generating functions. These results extend some known summations and identities of d...
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By using q-integration, we will give some integral equation which are related to the Barnes’ multiple Bernoulli numbers. The object of this paper is to give explicit q-integral’s formulae which are related to Barnes’ multiple q-Bernoulli polynomials. §
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Abstract Recently, B. A. Kupershmidt have constructed a reflection symmetries of q-Bernoulli polynomials (see [9]). In this paper we give another construction of a q-Bernoulli polynomials, which form Barnes’ multiple Bernoulli polynomials at q = 1, cf. [1, 13, 14]. By using q-Volkenborn integration, we can also investigate the properties of the reflection symmetries of these’ q-Bernoulli polyno...
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ژورنال
عنوان ژورنال: Mathematica Moravica
سال: 2019
ISSN: 1450-5932,2560-5542
DOI: 10.5937/matmor1902001k