Some Formulae for the Product of Two Bernoulli and Euler Polynomials

We investigate some formulae for the product of two Bernoulli and Euler polynomials arising from the Euler and Bernoulli basis polynomials.

[1]  D. Dolgy,et al.  On the Higher-Order q-Euler Numbers and Polynomials with Weight α , 2011 .

[2]  Taekyun Kim,et al.  Some identities on the q-Euler polynomials of higher order and q-stirling numbers by the fermionic p-adic integral on ℤp , 2009 .

[3]  Leonard Carlitz,et al.  The Product of Two Eulerian Polynomials , 1963 .

[4]  Yilmaz Simsek,et al.  Multivariate Interpolation Functions of Higher-Order -Euler Numbers and Their Applications , 2008 .

[5]  Taekyun Kim Some Identities for the Bernoulli, the Euler and the Genocchi Numbers and Polynomials , 2009 .

[6]  Dae San Kim Identities of Symmetry for Generalized Euler Polynomials , 2010 .

[7]  Yilmaz Simsek,et al.  ON THE HIGHER-ORDER w-q-GENOCCHI NUMBERS , 2009 .

[8]  Serkan Araci,et al.  A Study on the Fermionic -Adic -Integral Representation on ℤ Associated with Weighted -Bernstein and -Genocchi Polynomials , 2011 .

[9]  A. Bayad,et al.  Fourier expansions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials , 2011, Math. Comput..

[10]  Dae San Kim,et al.  A study on the integral of the product of several Bernoulli polynomials , 2014 .

[11]  Leonard Carlitz,et al.  Note on the Integral of the Product of Several Bernoulli Polynomials , 1959 .

[12]  Yilmaz Simsek,et al.  Special functions related to Dedekind-type DC-sums and their applications , 2009, 0902.0380.

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

[14]  T Kim,et al.  SOME FORMULAE FOR THE Q-BERNSTEIN POLYNOMIALS AND Q-DEFORMED BINOMIAL DISTRIBUTIONS , 2012 .

[15]  Yilmaz Simsek,et al.  A new extension of q-Euler numbers and polynomials related to their interpolation functions , 2008, Appl. Math. Lett..

[16]  Taekyun Kim q-Generalized Euler numbers and polynomials , 2006 .

[17]  Yilmaz Simsek,et al.  Complete sum of products of (h, q)-extension of Euler polynomials and numbers , 2010 .