Results 11 to 20 of about 371 (48)

A Note on the Poly‐Bernoulli Polynomials of the Second Kind

Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020
In this paper, we define the poly‐Bernoulli polynomials of the second kind by using the polyexponential function and find some interesting identities of those polynomials. In addition, we define unipoly‐Bernoulli polynomials of the second kind and study some properties of those polynomials.
Sang Jo Yun, Jin-Woo Park, Serkan Araci
wiley   +1 more source

Exact stationary probabilistic solutions to stochastic dynamical systems by solving the FPK equation with splitting techniques [PDF]

, 2015
Διεπιστημονικό-Διατμηματικό Πρόγραμμα Μεταπτυχιακών Σπουδών (Δ.Π.Μ.Σ.) “Μαθηματική Προτυποποίηση σε Σύγχρονες Τεχνολογίες στην ...
Mamis, Konstantinos, Μαμής, Κωνσταντίνος   +1 more
core   +1 more source

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 polynomials.
openaire   +3 more sources

Visualizing Spacetime Curvature via Gradient Flows I: Introduction

, 2012
Traditional approaches to the study of the dynamics of spacetime curvature in a very real sense hide the intricacies of the nonlinear regime. Whether it be huge formulae, or mountains of numerical data, standard methods of presentation make little use of
A. Katok, H. Stephani, J. Griffiths, J. Hale, J. Jost, K. Bolejko, K. Yano, Kayll Lake, L. Perko, M. A. Podurets, M. A. Podurets, M. E. Cahill, M. P. Hobson, R. Penrose, S. W. Hawking, T. M. Apostol, T. Y. Thomas, Ya. B. Zel’dovich   +17 more
core   +1 more source

Quantum Barnes function as the partition function of the resolved conifold

, 2007
We suggest a new strategy for proving large $N$ duality by interpreting Gromov-Witten, Donaldson-Thomas and Chern-Simons invariants of a Calabi-Yau threefold as different characterizations of the same holomorphic function.
Koshkin, Sergiy
core   +2 more sources

Feynman integrals and periods in configuration spaces [PDF]

, 2012
We describe differential forms representing Feynman amplitudes in configuration spaces of Feynman graphs, and regularization and evaluation techniques, for suitable chains of integration, that give rise to periods of mixed Tate motives.Comment: 54 pages,
Ceyhan, Ozgur, Marcolli, Matilde
core   +2 more sources

Large Nc QCD and Harmonic Sums

, 2011
In the Large-Nc limit of QCD, two--point functions of local operators become Harmonic Sums. I review some properties which follow from this fact and which are relevant for phenomenological applications.
A Manohar, C Vafa, C Vafa, D Espriu, D Greynat, E Rafael de, E Rafael de, E Witten, E Witten, E Witten, EDUARDO DE RAFAEL, G Ecker, G Ecker, Gt’ Hooft, G’t Hooft, J Bijnens, J Comellas, J Gasser, J Wess, J-Ph Aguilar, JF Donoghue, M Golterman, M Gonzalez-Alonso, M Knecht, M Knecht, MA Shifman, O Catà, P Masjuan, Ph Flajolet, S Coleman, S Friot, S Peris, S Weinberg, S Weinberg, T Das, T Hambye, V Cirigliano, Y Nambu   +37 more
core   +3 more sources

Optimized perturbation theory for charged scalar fields at finite temperature and in an external magnetic field

, 2011
Symmetry restoration in a theory of a self-interacting charged scalar field at finite temperature and in the presence of an external magnetic field is examined.
D. C. Duarte, E. Elizalde, G. Arfken, H. Kleinert, J. Zinn-Justin, J. I. Kapusta, M. Le Bellac, M. Tinkham, N. Goldenfeld, R. L. S. Farias, R. J. Rivers, R. J. Rivers, Rudnei O. Ramos, V. I. Yukalov   +13 more
core   +1 more source

Wolstenholme's theorem: Its Generalizations and Extensions in the last hundred and fifty years (1862--2012) [PDF]

, 2011
In 1862 Wolstenholme proved that for any prime $p\ge 5$ the numerator of the fraction $$ 1+\frac 12 +\frac 13+...+\frac{1}{p-1} $$ written in reduced form is divisible by $p^2$, $(2)$ and the numerator of the fraction $$ 1+\frac{1}{2^2} +\frac{1}{3^2}
Mestrovic, Romeo
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