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Some Identities on the ð ‘ž -Genocchi Polynomials of Higher-Order and ð ‘ž -Stirling Numbers by the Fermionic ð ‘ -Adic Integral on ℤ ð ‘

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  • Seog-Hoon Rim
  • Jeong-Hee Jin
  • Eun-Jung Moon
  • Sun-Jung Lee

Abstract

A systemic study of some families of ð ‘ž -Genocchi numbers and families of polynomials of Nörlund type is presented by using the multivariate fermionic ð ‘ -adic integral on ℤ ð ‘ . The study of these higher-order ð ‘ž -Genocchi numbers and polynomials yields an interesting ð ‘ž -analog of identities for Stirling numbers.

Suggested Citation

  • Seog-Hoon Rim & Jeong-Hee Jin & Eun-Jung Moon & Sun-Jung Lee, 2010. "Some Identities on the ð ‘ž -Genocchi Polynomials of Higher-Order and ð ‘ž -Stirling Numbers by the Fermionic ð ‘ -Adic Integral on ℤ ð ‘," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2010, pages 1-14, December.
    • Handle: RePEc:hin:jijmms:860280
    DOI: 10.1155/2010/860280
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