About extensions of generalized Apostol-type polynomials Articles uri icon

publication date

  • January 2015

start page

  • 203

end page

  • 225

volume

  • 68

International Standard Serial Number (ISSN)

  • 1422-6383

Electronic International Standard Serial Number (EISSN)

  • 1420-9012

abstract

  • Under a slight modification on the parameters associated to the generalized Apostol-type polynomials and the use of the generating method, we obtain some new results concerning extensions of generalized Apostol-type polynomials. We state some algebraic and differential properties for a new class of extensions of generalized Apostol-type polynomials, as well as, some others identities which connect this polynomial class with the Stirling numbers of second kind, the Jacobi polynomials, the generalized Bernoulli polynomials, the Genocchi polynomials and the Apostol-Euler polynomials, respectively.

subjects

  • Mathematics

keywords

  • generalized apostol-type polynomials; apostolbernoulli polynomials of higher order; apostol–euler polynomials of higher order; apostol–genocchi polynomials of higher order; stirling numbers of second kind