摘要:The q-analogues of many well known formulas are derived by using several results of q-Bernoulli, q-Euler numbers and polynomials. The q-analogues of ζ-type functions are given by using generating functions of q-Bernoulli, q-Euler numbers and polynomials. Finally, their values at non-positive integers are also been computed. 2010 Mathematics Subject Classification: 11B68; 11S40; 11S80.
关键词:Bosonic p -adic integrals ; Fermionic p -adic integrals ; q -Bernoulli polynomials ; q -Euler polynomials ; generating functions ; q -analogues of ζ -type functions ; q -analogues of the Dirichlet's L -functions