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A New Class of Hermite Poly-Genocchi Polynomials |
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PP: 7-14 |
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doi:10.18576/jant/040102
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Author(s) |
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Waseem A. Khan,
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Abstract |
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| In this paper, we introduce a new class of Hermite poly-Genocchi polynomials and we give some identities of those
polynomials related to the Stirling numbers of the second kind. The concepts of poly-Bernoulli numbers B(k)
n (a,b), poly-Bernoulli
polynomials B(k)
n (x,a,b) of Jolany et al, Hermite-Bernoulli polynomials HBn(x, y) of Dattoli et al and HB(a)
n (x, y) of Pathan et al are
generalized to the one HG(k)
n (x, y). 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 Hermite poly-
Genocchi numbers and polynomials. |
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