Results 61 to 70 of about 272,458 (83)

λ-calculus in an algebraic setting

open access: yes, 2006
We define an extension of λ-calculus with linear combinations of terms, with coefficients taken in a fixed rig R. We extend β-reduction on these terms as follows: at + u reduces to at ′ + u as soon as term t reduces to t ′ and a is a non-zero scalar.
Lionel Vaux
core  

"On Approximation of the Solutions to Partial Differential Equations in Finance" [PDF]

open access: yes
This paper proposes a general approximation method for the solutions to second-order parabolic partial differential equations (PDEs) widely used in finance through an extension of Léandre's approach(Léandre (2006,2008)) and the Bismut identiy(e.g ...
Akihiko Takahashi, Toshihiro Yamada
core  

The weak algebraic λ-calculus

open access: yes
International audienceWe introduce a variant of the algebraic λ-calculus, which extends the ordinary λ-calculus with the possibility of forming linear combinations of terms, with coefficients taken in a fixed semiring.
Auclair, Lionel, Vaux   +1 more
core   +1 more source

Some properties of general-$λ$-matrix polynomials: an umbral approach

open access: yes
The 2-variable general-$λ$-matrix polynomials (2VG$λ$MP) is a new family of matrix polynomials, introduced and studied in this article. These matrix polynomials are constructed using umbral and symbolic methods.
Yasmin, Ghazala, Sharma, Aditi
core  
Some of the next articles are maybe not open access.

On the Type 2 Poly-Bernoulli Polynomials Associated With Umbral Calculus

Open Mathematics, 2021
Taekyun Kim, Dae San Kim, Jin-Woo Park
exaly  

Baxter Algebras and the Umbral Calculus

Advances in Applied Mathematics, 2001
Li Guo
exaly  

The Lagrange Polynomials, the Associated Generalizations, and the Umbral Calculus

Integral Transforms and Special Functions, 2003
Clemente Cesarano, P E Ricci, G Dattoli
exaly  

Applications of the Classical Umbral Calculus

Algebra Universalis, 2003
Ira Gessel
exaly  

Q-Bernoulli Polynomials and q-Umbral Calculus

Science China Mathematics, 2014
Dae San Kim
exaly  

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