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Publications Influence

q-Euler numbers and polynomials associated with p-adic q-integrals

- T. Kim
- Mathematics
- 1 January 2007

Abstract The main purpose of this paper is to present a systemic study of some families of multiple q-Euler numbers and polynomials. In particular, by using the q-Volkenborn integration on ℤp, we… Expand

223 30

On the q-extension of Euler and Genocchi numbers

- T. Kim
- Mathematics
- 15 February 2007

Abstract Carlitz has introduced an interesting q-analogue of Frobenius–Euler numbers in [L. Carlitz, q-Bernoulli numbers and polynomials, Duke Math. J. 15 (1948) 987–1000; L. Carlitz, q-Bernoulli and… Expand

177 9

On aq-Analogue of thep-Adic Log Gamma Functions and Related Integrals

- T. Kim
- Mathematics
- 1 June 1999

Abstract We show that Carlitz'sq-Bernoulli number can be represented as an integral by theq-analogueμqof the ordinaryp-adic invariant measure, whence we give an answer to a part of a question of… Expand

185 8

A Note on the-Genocchi Numbers and Polynomials

- T. Kim
- Mathematics
- 5 July 2007

We discuss new concept of the-extension of Genocchi numbers and give some relations between-Genocchi polynomials and-Euler numbers.

51 6

On the analogs of Euler numbers and polynomials associated with p-adic q-integral on Zp at q=−1

- T. Kim
- Mathematics
- 15 July 2007

Abstract The purpose of this paper is to construct λ-Euler numbers and polynomials by using fermionic expression of p-adic q-integral at q = − 1 . From these λ-Euler polynomials, we derive the… Expand

116 6

Some Identities for the Bernoulli, the Euler and the Genocchi Numbers and Polynomials

- T. Kim
- Mathematics
- 25 December 2009

The purpose of this paper is to give some new identities for the Bernoulli, the Euler and the Genocchi numbers and polynomials.

105 5- PDF

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… Expand

55 5- PDF

An analogue of Bernoulli numbers and their congruences

- T. Kim
- Mathematics
- 1994

39 5

An Invariant P -Adic Integral Associated with Daehee Numbers

- T. Kim
- Mathematics
- 1 January 2002

The purpose of this paper is to define Daehee numbers to be related Carlitz's q -Bernoulli and Eulerian numbers by using an invariant p -adic integral.

59 5

Barnes' type multiple degenerate Bernoulli and Euler polynomials

- T. Kim
- Mathematics, Computer Science
- Appl. Math. Comput.
- 1 May 2015

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