Results 21 to 30 of about 225 (100)
On the extended Kim's p-adic q-deformed fermionic integrals in the p-adic integer ring [PDF]
, 2013 The purpose of this paper is to derive some applications of umbral calculus by using extended fermionic p-adic q-integral on Z(p). From those applications, we derive some new interesting properties on the new family of Euler numbers and polynomials. That
Araci, Serkan +2 more
core +1 more source
On Carlitz’s Type Modified Degenerate q‐Changhee Polynomials and Numbers
Discrete Dynamics in Nature and Society, Volume 2018, Issue 1, 2018., 2018 Recently, Dolgy‐Jang‐Kwon‐Kim introduced Carlitz’s type q‐Changhee polynomials. In this paper, we define Carlitz’s type modified degenerate q‐Changhee polynomials and investigate some interesting identities of these polynomials.
Byung Moon Kim +4 more
wiley +1 more source
Some Properties of Multiple Generalized q‐Genocchi Polynomials with Weight α and Weak Weight β
International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012 The present paper deals with the various q‐Genocchi numbers and polynomials. We define a new type of multiple generalized q‐Genocchi numbers and polynomials with weight α and weak weight β by applying the method of p‐adic q‐integral. We will find a link between their numbers and polynomials with weight α and weak weight β.
J. Y. Kang, Cheon Ryoo
wiley +1 more source
Some identities involving Bernoulli, Euler and degenerate Bernoulli numbers and their applications
Applied Mathematics in Science and Engineering, 2023 The paper has two main objectives. Firstly, it explores the properties of hyperbolic cosine and hyperbolic sine functions by using Volkenborn and the fermionic p-adic integrals, respectively.
Taekyun Kim, Dae San Kim, Hye Kyung Kim
doaj +1 more source
Identities on the Bernoulli and Genocchi Numbers and Polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012 We give some interesting identities on the Bernoulli numbers and polynomials, on the Genocchi numbers and polynomials by using symmetric properties of the Bernoulli and Genocchi polynomials.
Seog-Hoon Rim +3 more
wiley +1 more source
A Note on q-analogue of Degenerate Catalan Numbers Associated with p-adic Integral on Zp
, 2022 In this paper, we introduce q-analogues of degenerate Catalan numbers and polynomials with the help of a fermionic p-adic q-integrals on Zp and establish some new connections with the degenerate Stirling numbers of the first and second kinds. Furthermore,
Waseem A. Khan
core +1 more source
Calculating Zeros of the q‐Genocchi Polynomials Associated with p‐Adic q‐Integral on ℤp
International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012 In this paper we construct the new analogues of Genocchi the numbers and polynomials. We also observe the behavior of complex roots of the q‐Genocchi polynomials Gn,q(x), using numerical investigation. By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of the q‐Genocchi polynomials Gn,q(x). Finally, we
C. S. Ryoo, Taekyun Kim
wiley +1 more source
Novel Identities for q‐Genocchi Numbers and Polynomials
Journal of Function Spaces, Volume 2012, Issue 1, 2012., 2012 The essential aim of this paper is to introduce novel identities for q‐Genocchi numbers and polynomials by using the method by T. Kim et al. (article in press). We show that these polynomials are related to p‐adic analogue of Bernstein polynomials. Also, we derive relations between q‐Genocchi and q‐Bernoulli numbers.
Serkan Araci, Gestur Ólafsson
wiley +1 more source
A Note on Eulerian Polynomials
Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012 We study Genocchi, Euler, and tangent numbers. From those numbers we derive some identities on Eulerian polynomials in connection with Genocchi and tangent numbers.
D. S. Kim +4 more
wiley +1 more source
Integral Formulae of Bernoulli Polynomials
Discrete Dynamics in Nature and Society, Volume 2012, Issue 1, 2012., 2012 Recently, some interesting and new identities are introduced in (Hwang et al., Communicated). From these identities, we derive some new and interesting integral formulae for the Bernoulli polynomials.
Dae San Kim +5 more
wiley +1 more source