A Note on q-Changhee Polynomials and Numbers

Recently, Changhee polynomials and numbers are introduced in (6). Some interesting identities and properties of those polynomials are derived from umbral calculus(see (6)). In this paper, we consider Witt-type formula for the Changhee numbers and polynomials and derive some new interesting identities and properties of those polynomials and numbers from the Witt-type formula which are related to special polynomials.

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

[2]  S. Araci,et al.  On the extended Kimʼs p-adic q-deformed fermionic integrals in the p-adic integer ring , 2013 .

[3]  Taekyun Kim,et al.  A note on changhee polynomials and numbers with q-parameter , 2014 .

[4]  T. Komatsu.  Poly-Cauchy numbers with a q parameter , 2013 .

[5]  Kyoung Ho Park,et al.  Identities of symmetry for higher-order Euler polynomials in three variables (II) , 2011 .

[6]  Seog-Hoon Rim,et al.  Some Identities on the q-Genocchi Polynomials of Higher-Order and q-Stirling Numbers by the Fermionic p-Adic Integral on ℤp , 2010, Int. J. Math. Math. Sci..

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

[8]  Serkan Araci,et al.  A note on the Frobenius-Euler numbers and polynomials associated with Bernstein polynomials , 2012, 1205.6590.

[9]  Taekyun Kim,et al.  p-adic q-integrals associated with the Changhee–Barnes' q-Bernoulli polynomials , 2004 .

[10]  Y. Simsek,et al.  On the behavior of two variable twisted p-adic Euler q-l-functions , 2009 .

[11]  Taekyun Kim,et al.  On the analogs of Euler numbers and polynomials associated with p-adic q-integral on Zp at q=−1 , 2007 .

[12]  Toufik Mansour,et al.  Umbral calculus and Sheffer sequences of polynomials , 2013 .

[13]  T. Komatsu.  POLY-CAUCHY NUMBERS , 2013 .

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

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

[16]  Taekyun Kim,et al.  A Note on Eulerian Polynomials , 2012 .

[17]  Ravi P. Agarwal,et al.  Exploring the multiple Changhee q-Bernoulli polynomials , 2005, Int. J. Comput. Math..

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

[19]  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 .

[21]  Taekyun Kim,et al.  q-Euler numbers and polynomials associated with p-adic q-integrals , 2006, Comput. Math. Appl..

[22]  Taekyun Kim,et al.  Some Theorems On Bernoulli And Euler Numbers , 2013, Ars Comb..