Some families of Genocchi type polynomials and their interpolation functions

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Srivastava H. M., Kurt B., ŞİMŞEK Y.

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, vol.23, no.12, pp.919-938, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 12
  • Publication Date: 2012
  • Doi Number: 10.1080/10652469.2011.643627
  • Journal Name: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.919-938
  • Keywords: generating functions, Genocchi numbers, Genocchi polynomials, Euler numbers, Euler polynomials, Bernoulli numbers, Bernoulli polynomials, Apostol type polynomials, Taylor-Maclaurin series expansions, interpolation functions, sums of powers of natural numbers, multinomial coefficients, Riemann zeta function, Hurwitz (or generalized) zeta functions, Hurwitz-Lerch zeta function, Q-EULER NUMBERS, APOSTOL-BERNOULLI, FOURIER EXPANSIONS, ZETA-FUNCTIONS, Q-EXTENSIONS, SUMS, IDENTITIES, FORMULAS
  • Akdeniz University Affiliated: Yes

Abstract

The main purpose of this paper is to construct generating functions for some families of Genocchi type polynomials. By applying the derivative operator to these generating functions, we define a function which interpolates these polynomials at negative integers. Among other results, we prove a multiplication theorem for these polynomials. Furthermore, we give several other identities and applications associated with these and related polynomials and their interpolation functions.