Results 11 to 20 of about 56,955 (119)

Some New Identities of Genocchi Numbers and Polynomials involving Bernoulli and Euler polynomials [PDF]

International Journal of Mathematics and Mathematical Sciences, Volume 2014, Issue 1, 2014., 2013
In this paper, we will deal with some new formulae for two product Genocchi polynomials together with both Euler polynomials and Bernoulli polynomials. We get some applications for Genocchi polynomials.
Acikgoz, Mehmet, Araci, Serkan, Şen, Erdoğan   +2 more
core   +4 more sources

On Apostol-Type Hermite Degenerated Polynomials

Mathematics, 2023
This article presents a generalization of new classes of degenerated Apostol–Bernoulli, Apostol–Euler, and Apostol–Genocchi Hermite polynomials of level m. We establish some algebraic and differential properties for generalizations of new classes of degenerated Apostol–Bernoulli polynomials. These results are shown using generating function methods for
Clemente Cesarano, William Ramírez, Stiven Díaz, Adnan Shamaoon, Waseem Ahmad Khan   +4 more
openaire   +5 more sources

A new generalization of Apostol type Hermite-Genocchi polynomials and its applications. [PDF]

Springerplus, 2016
By using the modified Milne-Thomson's polynomial given in Araci et al. (Appl Math Inf Sci 8(6):2803-2808, 2014), we introduce a new concept of the Apostol Hermite-Genocchi polynomials. We also perform a further investigation for aforementioned polynomial and derive some implicit summation formulae and general symmetric identities arising from different
Araci S, Khan WA, Acikgoz M, Özel C, Kumam P.   +4 more
europepmc   +5 more sources

Notes on Unified q-Apostol-Type Polynomials

Filomat, 2016
Recently, many mathematicians (Karande and Thakare [6], Ozarslan [14], Ozden et. al. [15], El-Deouky et. al. [5]) have studied the unification of Bernoulli, Euler and Genocchi polynomials. They gave some recurrence relations and proved some theorems. Mahmudov [13] defined the new q-Apostol- Bernoulli and q-Apostol-Euler polynomials. Also he
Burak Kurt
semanticscholar   +3 more sources

Some properties of the generalized Apostol-type polynomials [PDF]

Boundary Value Problems, 2013
In this paper, we study some properties of the generalized Apostol-type polynomials (see (Luo and Srivastava in Appl. Math. Comput. 217:5702-5728, 2011)), including the recurrence relations, the differential equations and some other connected problems ...
Da-qian Lu, Qiu-Ming Luo
semanticscholar   +3 more sources

Notes on q-Hermite based unified Apostol type polynomials

Journal of Interdisciplinary Mathematics, 2019
In this article, a new class of q-Hermite based unified Apostol type polynomials is introduced by means of generating function and series representation.
K. Nisar, W. A. Khan
semanticscholar   +4 more sources

Unified (p, q)-analog of Apostol Type Polynomials of Order α

Filomat, 2018
In this work, we introduce a class of a new generating function for (p, q)-analog of Apostol type polynomials of order α including Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order α.
U. Duran, M. Acikgoz, S. Araci
semanticscholar   +5 more sources

Explicit relations for the modified degenerate Apostol-type polynomials

Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018
Recently, the degenerate Bernoulli numbers and polynomials and the degenerate Euler numbers and polynomials have been studied by several authors. In this paper, we consider the modified Apostol-Bernoulli polynomials and the modified Apostol-Euler ...
Burak Kurt
semanticscholar   +4 more sources

A new class of Laguerre-based Apostol type polynomials

Cogent Mathematics, 2016
In this paper, we introduce a generating function for a new generalization of Laguerre-based Apostol-Bernoulli polynomials, Apostol-Euler and Apostol-Genocchi polynomials.
W. Khan, S. Araci, M. Acikgoz
semanticscholar   +2 more sources

Applications and Properties for Bivariate Bell‐Based Frobenius‐Type Eulerian Polynomials

Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023
In this study, we introduce sine and cosine Bell‐based Frobenius‐type Eulerian polynomials, and by presenting several relations and applications, we analyze certain properties. Our first step is to obtain diverse relations and formulas that cover summation formulas, addition formulas, relations with earlier polynomials in the literature, and ...
Waseem Ahmad Khan, Maryam Salem Alatawi, Ugur Duran, Sarfraz Nawaz Malik   +3 more
wiley   +1 more source