A Study on the Fermionic p-Adic q-Integral Representation on Z p Associated with Weighted q-Bernstein and q-Genocchi Polynomials

and Applied Analysis 3 2. On the Weighted q-Genocchi Numbers and Polynomials By the definition of q-Genocchi polynomials with weight α, we easily get

[1]  Taekyun Kim,et al.  On aq-Analogue of thep-Adic Log Gamma Functions and Related Integrals , 1999 .

[2]  Taekyun Kim,et al.  On the multiple q-Genocchi and Euler numbers , 2008, 0801.0978.

[3]  Taekyun Kim,et al.  On the weighted q-Bernoulli numbers and polynomials , 2010, 1011.5305.

[4]  Taekyun Kim,et al.  Some identities on the q-Bernstein polynomials, q-Stirling number and q-Bernoulli numbers , 2010, 1006.2033.

[5]  T. Kim,et al.  q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients , 2008 .

[6]  S. Araci,et al.  A NOTE ON THE WEIGHTED TWISTED DIRICHLET'S TYPE q-EULER NUMBERS AND POLYNOMIALS , 2011 .

[7]  Taekyun Kim.  q-Euler numbers and polynomials associated with p-adic q-integrals , 2007 .

[8]  C. S. Ryoo,et al.  On the fermionic p-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials , 2010, 1008.5207.

[9]  C. S. Ryoo,et al.  A Note on the Generalized q-Euler Numbers and Polynomials with Weak Weight α , 2012 .

[10]  Taekyun Kim.  $q$-Volkenborn Integration and Its Applications , 2005 .

[11]  Taekyun Kim,et al.  On the q-extension of Euler and Genocchi numbers , 2007 .

[12]  T. Kim,et al.  A Study on the p-Adic q-Integral Representation on � p Associated with the Weighted q-Bernstein and q-Bernoulli Polynomials , 2011 .

[13]  S. Araci,et al.  SOME NEW PROPERTIES ON THE q-GENOCCHI NUMBERS AND POLYNOMIALS ASSOCIATED WITH q-BERNSTEIN POLYNOMIALS , 2011 .

[14]  Taekyun Kim,et al.  New approach to q-Euler polynomials of higher order , 2010 .

[15]  Taekyun Kim,et al.  A note on q-Bernstein polynomials , 2010, 1009.0097.

[16]  Neal Koblitz,et al.  P-adic analysis : a short course on recent work , 1980 .

[17]  Taekyun Kim,et al.  $q$-Bernstein Polynomials Associated with $q$-Stirling Numbers and Carlitz's $q$-Bernoulli Numbers , 2010, 1009.3439.

[18]  Taekyun Kim,et al.  On -Adic Analogue of -Bernstein Polynomials and Related Integrals , 2010, 1009.3436.