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, cilt.23, sa.12, ss.919-938, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 23 Sayı: 12
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1080/10652469.2011.643627
  • Dergi Adı: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.919-938
  • Anahtar Kelimeler: 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 Üniversitesi Adresli: Evet

Özet

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.