• 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, weExpand
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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 andExpand
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On aq-Analogue of thep-Adic Log Gamma Functions and Related Integrals
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 ofExpand
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A Note on the-Genocchi Numbers and Polynomials
We discuss new concept of the-extension of Genocchi numbers and give some relations between-Genocchi polynomials and-Euler numbers.
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On the analogs of Euler numbers and polynomials associated with p-adic q-integral on Zp at q=−1
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 theExpand
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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.
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  • 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 considerExpand
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  • PDF
An analogue of Bernoulli numbers and their congruences
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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.
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Barnes' type multiple degenerate Bernoulli and Euler polynomials
  • T. Kim
  • Mathematics, Computer Science
  • Appl. Math. Comput.
  • 1 May 2015
TLDR
We consider Barnes' type multiple degenerate Bernoulli and Euler polynomials and numbers which are derived from multivariate bosonic (or fermionic) p-adic integral on Z p . Expand
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