Results 61 to 70 of about 272,458 (83)
λ-calculus in an algebraic setting
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]
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
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
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, 2021Taekyun Kim, Dae San Kim, Jin-Woo Park
exaly
The Lagrange Polynomials, the Associated Generalizations, and the Umbral Calculus
Integral Transforms and Special Functions, 2003Clemente Cesarano, P E Ricci, G Dattoli
exaly

