Results 71 to 80 of about 1,076 (103)

Exploring a Novel Family of Appell Polynomials Associated with Gould–Hopper–Fubini Polynomials

Mathematics
In this paper, we establish a new hybrid class of special polynomials, the Gould–Hopper–Fubini-based Appell polynomials. Using the monomiality principle, we derive their generating function and explore related properties and identities.
F. Gassem, Abdulghani Muhyi, Hadeel Arwah, Habeeb Ibrahim, Khaled Aldwoah, Amer Alsulami, Mohammed Rabih   +6 more
doaj   +1 more source

Alternating Euler sums at the negative integers

, 2008
We study three special Dirichlet series, two of them alternating, related to the Riemann zeta function. These series are shown to have extensions to the entire complex plane and we find their values at the negative integers (or residues at poles).
Boyadzhiev, Khristo N., Gadiyar, H. Gopalkrishna, Padma, R.   +2 more
core  

Formulas for p-adic q-integrals including falling-rising factorials, combinatorial sums and special numbers

, 2017
The main purpose of this paper is to provide a novel approach to deriving formulas for the p-adic q-integral including the Volkenborn integral and the p-adic fermionic integral.
Simsek, Yilmaz
core  

Fourier expansions and integral representations for the Apostol-Bernoulli and Apostol-Euler polynomials [PDF]

Mathematics of Computation, 2009
We investigate Fourier expansions for the Apostol-Bernoulli and Apostol-Euler polynomials using the Lipschitz summation formula and obtain their integral representations. We give some explicit formulas at rational arguments for these polynomials in terms of the Hurwitz zeta function.
openaire   +1 more source

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

Springerplus, 2016
Araci S, Khan WA, Acikgoz M, Özel C, Kumam P.   +4 more
europepmc   +1 more source

Recurrence relations for Apostol-Bernoulli , -Euler and -Genocchi polynomials of higher order

, 2017
In \cite{luo2006,luosri2005}, Luo and Srivastava introduced some generalizations of the Apostol -Bernoulli polynomials and the Apostol-Euler polynomials. The main object of this paper is to extend the result of \cite{prevost2010} to these generalized polynomials.
openaire   +2 more sources

About properties and the monomiality principle of Bell-based Apostol-Bernoulli-type polynomials

Carpathian Mathematical Publications
This article investigates the properties and monomiality principle within Bell-based Apostol-Bernoulli-type polynomials. Beginning with the establishment of a generating function, the study proceeds to derive explicit expressions for these polynomials, providing insight into their structural characteristics.
W. Ramírez, C. Cesarano, S. Wani, S. Yousuf, D. Bedoya   +4 more
openaire   +1 more source

General convolution identities for Apostol-Bernoulli, Euler and Genocchi polynomials

Journal of Nonlinear Sciences and Applications, 2016
Yuan He, Taekyun Kim
openaire   +2 more sources

On discrete Appell polynomials of Apostol-Bernoulli-type polynomials and their patterns of distribution of zeros

Journal of Mathematics and Computer Science
M.-F. Heredia-Moyano, J. Hernandez, W. A. Khan, W. Ramirez, Sh. A. Wani   +4 more
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A note on the Apostol--Bernoulli and Apostol--Euler polynomials

Publicationes Mathematicae Debrecen, 2013
Let alpha is an element of N-0 = {0, 1, 2,.}. In this paper, we show provide several relationships between the generalized Apostol-Bernoulli polynomials B-n((alpha))(x; lambda) and the generalized Apostol-Euler polynomials E-n((alpha)) (x; lambda) which involve both the main results of LUO-SRIVASTAVA in [Q.-M. Luo and H. M.
Kim, MS Kim, Min-Soo, Hu, S Hu, Su
openaire   +2 more sources