Results 21 to 30 of about 1,117,147 (144)

A combined approach to Perrin and Padovan hybrid sequences

Heliyon, 2021
Recently, there has been huge interest to a new numeric set, which brings together three numerical systems: complex, hyperbolic and dual numbers, called as hybrid number.
Seyyed H. Jafari Petroudi, Maryam Pirouz, Emel Karaca, Fatih Yılmaz   +3 more
doaj   +1 more source

Generalized Fock spaces and the Stirling numbers [PDF]

, 2018
The Bargmann-Fock-Segal space plays an important role in mathematical physics, and has been extended into a number of directions. In the present paper we imbed this space into a Gelfand triple. The spaces forming the Fr\'echet part (i.e.
Alpay D., Alpay D., Biagini F., Blasiak P., Bourbaki N., Daniel Alpay, Erdélyi A., Gelfand I. M., Gelfand I. M., Hall B. C., Karp D., Karp D., Motke Porat, Schneider W. R., Våge G.   +14 more
core   +3 more sources

On Special Spacelike Hybrid Numbers

Mathematics, 2020
Hybrid numbers are generalizations of complex, hyperbolic and dual numbers. A hyperbolic complex structure is frequently used in both pure mathematics and numerous areas of physics.
Anetta Szynal-Liana, Iwona Włoch
doaj   +1 more source

Periods for flat algebraic connections [PDF]

, 2008
In previous work, we established a duality between the algebraic de Rham cohomology of a flat algebraic connection on a smooth quasi-projective surface over the complex numbers and the rapid decay homology of the dual connection relying on a conjecture ...
A. Grothendieck, B. Malgrange, B. Malgrange, B. Malgrange, C. Sabbah, C. Sabbah, H. Majima, M. Hien, M. Kashiwara, Marco Hien, P. Deligne, R.G. Swan, S. Bloch, T. Saito   +13 more
core   +2 more sources

A Central Limit Theorem for Random Walks on the Dual of a Compact Grassmannian [PDF]

, 2014
We consider compact Grassmann manifolds $G/K$ over the real, complex or quaternionic numbers whose spherical functions are Heckman-Opdam polynomials of type $BC$.
Rösler, Margit, Voit, Michael
core   +7 more sources

The Horadam Hybrid Numbers

Discussiones Mathematicae - General Algebra and Applications, 2018
In this paper we introduce the Horadam hybrid numbers and give some their properties: Binet formula, character and generating function.
Szynal-Liana Anetta
doaj   +1 more source

The Hybrid Numbers of Padovan and Some Identities

Annales Mathematicae Silesianae, 2020
In this article, we will define Padovan’s hybrid numbers, based on the new noncommutative numbering system studied by Özdemir ([7]). Such a system that is a set involving complex, hyperbolic and dual numbers.
Mangueira Milena Carolina dos Santos, Vieira Renata Passos Machado, Alves Francisco Régis Vieira, Catarino Paula Maria Machado Cruz   +3 more
doaj   +1 more source

Traces on Module Categories over Fusion Categories [PDF]

, 2013
We consider traces on module categories over pivotal fusion categories which are compatible with the module structure. It is shown that such module traces characterise the Morita classes of special haploid symmetric Frobenius algebras. Moreover, they are
Bakalov, Barrett, Costello, Davydov, Etingof, Etingof, Etingof, Fröhlich, Fröhlich, Fuchs, Fuchs, Fuchs, Gaberdiel, Greenough, Gregor Schaumann, Kapustin, Moore, Mueger, Ostrik, Reshetikhin, Schweigert, Turaev   +21 more
core   +1 more source

Rotation minimizing frames and spherical curves in simply isotropic and pseudo-isotropic 3-spaces [PDF]

, 2019
In this work, we are interested in the differential geometry of curves in the simply isotropic and pseudo-isotropic 3-spaces, which are examples of Cayley-Klein geometries whose absolute figure is given by a plane at infinity and a degenerate quadric ...
da Silva, Luiz C. B.
core   +2 more sources

Compactifications of $${{\cal M}_{0,n}}$$ Associated with Alexander Self-Dual Complexes: Chow Rings, ψ-Classes, and Intersection Numbers

Proceedings of the Steklov Institute of Mathematics, 2019
An Alexander self-dual complex gives rise to a compactification of $M_{0,n}$, called ASD compactification, which is a smooth algebraic variety. ASD compactifications include (but are not exhausted by) the polygon spaces, or the moduli spaces of flexible polygons. We present an explicit description of the Chow rings of ASD compactifications.
Nekrasov, Ilia I., Panina, Gaiane Yu.
openaire   +3 more sources