Results 61 to 70 of about 7,557 (129)

A polynomial bracket for the Dubrovin--Zhang hierarchies

, 2010
We define a hierarchy of Hamiltonian PDEs associated to an arbitrary tau-function in the semi-simple orbit of the Givental group action on genus expansions of Frobenius manifolds.
Buryak, A., Posthuma, H., Shadrin, S.
core  

On Convoluted Forms of Multivariate Legendre-Hermite Polynomials with Algebraic Matrix Based Approach

Mathematics
The main purpose of this article is to construct a new class of multivariate Legendre-Hermite-Apostol type Frobenius-Euler polynomials. A number of significant analytical characterizations of these polynomials using various generating function techniques
Mumtaz Riyasat, Amal S. Alali, Shahid Ahmad Wani, Subuhi Khan   +3 more
doaj   +1 more source

Endomorphism Rings and Isogenies Classes for Drinfeld Modules of Rank 2 Over Finite Fields

, 2005
Let $\Phi $ be a Drinfeld $\mathbf{F}_{q}[T]$-module of rank 2, over a finite field $L$, a finite extension of $n$ degrees of a finite field with $q$ elements $\mathbf{F}_{q}$. Let $m$ be the extension degrees of $ L$ over the field $\mathbf{F}_{q}[T]/P$,
Saadbouh, Mohamed Ahmed Mohamed
core   +1 more source

A new family of q-Bernstein polynomials: probabilistic viewpoint

Arab Journal of Basic and Applied Sciences
In this paper, we introduce a new class of polynomials, called probabilistic q-Bernstein polynomials, alongside their generating function. Assuming [Formula: see text] is a random variable satisfying moment conditions, we use the generating function of ...
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source

Flat pencils of metrics and Frobenius manifolds

, 1998
This paper is based on the author's talk at 1997 Taniguchi Symposium ``Integrable Systems and Algebraic Geometry''. We consider an approach to the theory of Frobenius manifolds based on the geometry of flat pencils of contravariant metrics.
Dubrovin, Boris
core   +1 more source

Approximation Results: Szász–Kantorovich Operators Enhanced by Frobenius–Euler–Type Polynomials

Axioms
This research focuses on the approximation properties of Kantorovich-type operators using Frobenius–Euler–Simsek polynomials. The test functions and central moments are calculated as part of this study.
Nadeem Rao, Mohammad Farid, Mohd Raiz
doaj   +1 more source

Spectral Decomposition of Discrepancy Kernels on the Euclidean Ball, the Special Orthogonal Group, and the Grassmannian Manifold. [PDF]

Constr Approx, 2023
Dick J, Ehler M, Gräf M, Krattenthaler C.   +3 more
europepmc   +1 more source

Information Shift Dynamics Described by Tsallis q = 3 Entropy on a Compact Phase Space. [PDF]

Entropy (Basel), 2022
Yan J, Beck C.
europepmc   +1 more source

An Explicit Formula for Restricted Partition Function through Bernoulli Polynomials

, 2004
Explicit expressions for restricted partition function $W(s,{\bf d}^m)$ and its quasiperiodic components $W_j(s,{\bf d}^m)$ (called Sylvester waves) for a set of positive integers ${\bf d}^m = \{d_1, d_2, ..., d_m\}$ are derived.
Rubinstein, Boris Y.
core  

An Euler system for GU(2, 1). [PDF]

Math Ann, 2022
Loeffler D, Skinner C, Zerbes SL.
europepmc   +1 more source