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Some Relations of the Twisted q -Genocchi Numbers and Polynomials with Weight α and Weak Weight β

Author

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  • J. Y. Kang
  • H. Y. Lee
  • N. S. Jung

Abstract

Recently many mathematicians are working on Genocchi polynomials and Genocchi numbers. We define a new type of twisted q -Genocchi numbers and polynomials with weight ð ›¼ and weak weight ð ›½ and give some interesting relations of the twisted q -Genocchi numbers and polynomials with weight ð ›¼ and weak weight ð ›½ . Finally, we find relations between twisted q -Genocchi zeta function and twisted Hurwitz q -Genocchi zeta function.

Suggested Citation

  • J. Y. Kang & H. Y. Lee & N. S. Jung, 2012. "Some Relations of the Twisted q -Genocchi Numbers and Polynomials with Weight α and Weak Weight β," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-9, May.
    • Handle: RePEc:hin:jnlaaa:860921
    DOI: 10.1155/2012/860921
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    Cited by:

    1. Cheon Seoung Ryoo, 2018. "Some Identities Involving Hermite Kamp é de F é riet Polynomials Arising from Differential Equations and Location of Their Zeros," Mathematics, MDPI, vol. 7(1), pages 1-11, December.

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