• Corpus ID: 231740847

Unified Bernoulli-Euler polynomials of Apostol type

  title={Unified Bernoulli-Euler polynomials of Apostol type},
  author={Hac{\`e}ne Belbachir and Yahia Djemmada and S. Hadj-Brahim},
Abstract The object of this paper is to introduce and study properties of unified Apostol-Bernoulli and Apostol-Euler polynomials noted by {Vn(x; λ;μ)}n≥0. We study some arithmetic properties of {Vn(x; λ;μ)}n≥0 as their connection to Apostol-Euler polynomials and Apostol-Bernoulli polynomials. Also, we give derivation and integration representations of {Vn(x; λ;μ)}n≥0. Finally, we use the umbral calculus approach to deduce symmetric identities. 


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  • Ricerche di Matematica
  • 1994
On the Lerch zeta function.