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On q‐Euler Numbers Related to the Modified q‐Bernstein Polynomials

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  • Min-Soo Kim
  • Daeyeoul Kim
  • Taekyun Kim

Abstract

We consider q‐Euler numbers, polynomials, and q‐Stirling numbers of first and second kinds. Finally, we investigate some interesting properties of the modified q‐Bernstein polynomials related to q‐Euler numbers and q‐Stirling numbers by using fermionic p‐adic integrals on ℤp.

Suggested Citation

  • Min-Soo Kim & Daeyeoul Kim & Taekyun Kim, 2010. "On q‐Euler Numbers Related to the Modified q‐Bernstein Polynomials," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    • Handle: RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:952384
    DOI: 10.1155/2010/952384
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    References listed on IDEAS

    as
    1. Yilmaz Simsek & Mehmet Acikgoz, 2010. "A New Generating Function of ( ) Bernstein-Type Polynomials and Their Interpolation Function," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-12, March.
    2. Yilmaz Simsek & Mehmet Acikgoz, 2010. "A New Generating Function of (q‐) Bernstein‐Type Polynomials and Their Interpolation Function," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
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