Title of article :
On a -adic interpolation function for the -extension of the generalized Bernoulli polynomials and its derivative
Author/Authors :
Kim، نويسنده , , Taekyun، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2009
Pages :
10
From page :
1593
To page :
1602
Abstract :
In [T. Kim, S.H. Rim, Generalized Carlitz’s q -Bernoulli numbers in the p -adic number field, Adv. Stud. Contemp. Math. 2 (2000) 9–19], the new q -extension of Bernoulli polynomials and generalized Bernoulli numbers attached to χ were constructed by using p -adic invariant integral on Z p . In this paper we construct the new q -extension of generalized Bernoulli polynomials attached to χ due to author and derive the existence of a specific p -adic interpolation function which interpolates the q -extension of generalized Bernoulli polynomials at negative integers. Finally, we give the values of partial derivative for this function and investigate some properties which are related to this interpolation function.
Keywords :
p -adic q -integrals , p -adic L -function , Bernoulli numbers
Journal title :
Discrete Mathematics
Serial Year :
2009
Journal title :
Discrete Mathematics
Record number :
1598622
Link To Document :
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