Results 1 to 10 of about 225 (100)

Symmetry Fermionic 𝑝-Adic 𝑞-Integral on ℤ𝑝 for Eulerian Polynomials

International Journal of Mathematics and Mathematical Sciences, 2012
Kim et al. (2012) introduced an interesting p-adic analogue of the Eulerian polynomials. They studied some identities on the Eulerian polynomials in connection with the Genocchi, Euler, and tangent numbers.
Daeyeoul Kim, Min-Soo Kim
doaj   +3 more sources

Some Identities on Bernoulli and Euler Numbers [PDF]

Discrete Dynamics in Nature and Society, 2012
Recently, Kim introduced the fermionic p-adic integral on Zp. By using the equations of the fermionic and bosonic p-adic integral on Zp, we give some interesting identities on Bernoulli and Euler numbers.
D. S. Kim, T. Kim, J. Choi, Y. H. Kim
doaj   +3 more sources

Some Properties on the q-Euler Numbers and Polynomials

Abstract and Applied Analysis, 2012
We give some new identities on q-Euler numbers and polynomials by using the fermionic p-adic integral on ℤp.
T. Kim, S.-H. Lee
doaj   +3 more sources

New construction of type 2 degenerate central Fubini polynomials with their certain properties

Advances in Difference Equations, 2020
Kim et al. (Proc. Jangjeon Math. Soc. 21(4):589–598, 2018) have studied the central Fubini polynomials associated with central factorial numbers of the second kind.
Sunil Kumar Sharma, Waseem A. Khan, Serkan Araci, Sameh S. Ahmed   +3 more
doaj   +2 more sources

Sums of Products of q-Euler Polynomials and Numbers

Journal of Inequalities and Applications, 2009
We derive formulae for the sums of products of the q-Euler polynomials and numbers using the multivariate fermionic p-adic q-Volkenborn integral on ℤp.
Young-Hee Kim, Kyung-Won Hwang, Taekyun Kim   +2 more
doaj   +2 more sources

Interpolation Functions of q-Extensions of Apostol's Type Euler Polynomials

Journal of Inequalities and Applications, 2009
The main purpose of this paper is to present new q-extensions of Apostol's type Euler polynomials using the fermionic p-adic integral on ℤp. We define the q-λ-Euler polynomials and obtain the interpolation functions and the Hurwitz type
Kyung-Won Hwang, Young-Hee Kim, Taekyun Kim   +2 more
doaj   +2 more sources

Asymptotic Expansions for Large Degree Tangent and Apostol‐Tangent Polynomials of Complex Order

Journal of Applied Mathematics, Volume 2023, Issue 1, 2023., 2023
This paper provides asymptotic expansions for large values of n of tangent Tnμz and Apostol‐tangent Tnμz;λ polynomials of complex order. The derivation is done using contour integration with the contour avoiding branch cuts.
Cristina B. Corcino, Roberto B. Corcino, Jeremar Casquejo, Tudor Barbu   +3 more
wiley   +1 more source

Identities of Degenerate Poly‐Changhee Polynomials Arising from λ‐Sheffer Sequences

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In the 1970s, Gian‐Carlo Rota constructed the umbral calculus for investigating the properties of special functions, and by Kim‐Kim, umbral calculus is generalized called λ‐umbral calculus. In this paper, we find some important relationships between degenerate Changhee polynomials and some important special polynomials by expressing the Changhee ...
Sang Jo Yun, Jin-Woo Park, Barbara Martinucci   +2 more
wiley   +1 more source

A Computational Model for q‐Bernstein Quasi‐Minimal Bézier Surface

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
A computational model is presented to find the q‐Bernstein quasi‐minimal Bézier surfaces as the extremal of Dirichlet functional, and the Bézier surfaces are used quite frequently in the literature of computer science for computer graphics and the related disciplines.
Daud Ahmad, M. Khalid Mahmood, Qin Xin, Ferdous M. O. Tawfiq, Sadia Bashir, Arsha Khalid, Muhammad Kamran Jamil   +6 more
wiley   +1 more source

A Note on q‐Analogues of Degenerate Catalan‐Daehee Numbers and Polynomials

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
Recently, Yuankui et al. (Filomat J. 35 (5):17, 2022) studied q‐analogues of Catalan‐Daehee numbers and polynomials by making use of p‐adic q‐integrals on ℤp. Motivated by this study, we consider q‐analogues of degenerate Catalan‐Daehee numbers and polynomials with the help of p‐adic q‐integrals on ℤp. By using their generating function, we derive some
Waseem A. Khan, Barbara Martinucci
wiley   +1 more source