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S. H. Rim

Publications and source records attributed to S. H. Rim.

6 recordsLinked to original sources
arXiv2007

A note on p-adic q-Euler measure

In this paper we will investigate properties of modified q-Euler numbers and polynomials. The main purpose of this paper is to construct p-adic q-Euler measures.

math.NT↗
arXiv2007

On p-adic twisted Euler (h,q)-l-function

In this paper, we will constructed p-adic twisted q-l-functions which is a part of answer of the question in [8]. Finally, we will treat many interesting properties related to twisted q-Euler numbers and polynomials.

math.NT↗
arXiv2007

Daehee Formula Associated with the q-Extensions of Trigonometric Functions

In this paper we introduce a Daehee constant which is called q-extension of Napier constant, and consider Daehee formula associated with the qextensions of trigonometric functions. That is, we derive the q-extensions of sine and cosine functions from this Daehee formula. Finally, we give the q-calculus related to the q-extensions of sine and cosine functions.

math.NT↗
arXiv2005

Note on the sums of powers of consecutive $q$-integers

In this paper we construct the $q$-analogue of Barnes's Bernoulli numbers and polynomials of degree 2, for positive even integers, which is an answer to a part of Schlosser's question. For positive odd integers, Schlosser's question is still open. Finally, we will treat the $q$-analogue of the sums of powers of consecutive integers.

math.NT↗