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Generalized Hermite-Based Apostol-Bernoulli, Euler, Genocchi Polynomials and their Relations
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In this paper, we have generalized Apostol-Hermite-Bernoullli polynomials, Apostol-Hermite-Euler polynomials and Apostol-Hermite-Genocchi polynomials. We have shown that there is an intimate connection between these polynomials and derived some implicit summation formulae by applying the generating functions
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2010 Mathematics Subject Classification. Primary 54C40, 14E20; Secondary 46E25, 20C20.
Apostol-Hermite-Bernoullli Polynomials, Apostol-Hermite-Euler Polynomials and Apostol-Hermite-Genocchi Polynomials, Summation Formulae, Symmetric Identities.
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