Results 61 to 70 of about 12,909 (197)
Feynman integral in $\mathbb R^1\oplus\mathbb R^m$ and complex expansion of $_2F_1$
Closed form expressions are proposed for the Feynman integral $$ I_{D, m}(p,q) = \int\frac{d^my}{(2\pi)^m}\int\frac{d^Dx}{(2\pi)^D} \frac1{(x-p/2)^2+(y-q/2)^4} \frac1{(x+p/2)^2+(y+q/2)^4} $$ over $d=D+m$ dimensional space with $(x,y),\,(p,q)\in
Pogány, Tibor K., Shpot, Mykola A.
core +1 more source
This paper presents a novel generalization of the mth-order Laguerre and Laguerre-based Appell polynomials and examines their fundamental properties. By establishing quasi-monomiality, we derive key results, including recurrence relations, multiplicative
Waseem Ahmad Khan+4 more
doaj +1 more source
Text, time, and travel: temporal pathways of postsocialism and Islam
Abstract As the concept of postsocialism faces increased scrutiny, there is a call to expand its spatiotemporal scope beyond socialist contexts in order to reclaim its analytical capacity. In Azerbaijan, the quiet resurgence of tezkirahs – biographical anthologies rooted in both the Islamic and Soviet traditions – presents an opportunity to explore how
Serkan Yolaçan
wiley +1 more source
The objective of this article is to introduce the ∆h bivariate Appell polynomials ∆hAs[r](λ,η;h) and their extended form via fractional operators. The study described in this paper follows the line of study in which the monomiality principle is used to ...
Musawa Yahya Almusawa
doaj +1 more source
Abstract This article explores a series of newspaper articles from 1908, describing Miss C. – a Copenhagen woman who, apparently, hosted carnal orgies in which she ‘converted’ young women into sapphism. While most historical sources only hint at female same‐sex relationships or describe women's romantic (platonic) feelings for one another, these ...
Rikke Andreassen
wiley +1 more source
New Characterization of Appell polynomials
We prove characterizations of Appell polynomials by means of symmetric property. For these polynomials, we establish a simple linear expression in terms of Bernoulli and Euler polynomials. As applications, we give interesting examples.
Bayad, Abdelmejid, Komatsu, Takao
core +1 more source
ABSTRACT This paper delves into classical multiple orthogonal polynomials with an arbitrary number of weights, including Jacobi–Piñeiro, Laguerre of both first and second kinds, as well as multiple orthogonal Hermite polynomials. Novel explicit expressions for general recurrence coefficients, as well as the stepline case, are provided for all these ...
Amílcar Branquinho+3 more
wiley +1 more source
Derivatives of any Horn-type hypergeometric functions with respect to their parameters
We consider the derivatives of Horn hypergeometric functions of any number of variables with respect to their parameters. The derivative of such a function of n variables is expressed as a Horn hypergeometric series of n+1 infinite summations depending ...
Vladimir V. Bytev, Bernd A. Kniehl
doaj
Orthogonal Laurent Polynomials of Two Real Variables
ABSTRACT In this paper, we consider an appropriate ordering of the Laurent monomials xiyj$x^{i}y^{j}$, i,j∈Z$i,j \in \mathbb {Z}$ that allows us to study sequences of orthogonal Laurent polynomials of the real variables x$x$ and y$y$ with respect to a positive Borel measure μ$\mu$ defined on R2$\mathbb {R}^2$ such that ({x=0}∪{y=0})∩supp(μ)=∅$(\lbrace ...
Ruymán Cruz‐Barroso, Lidia Fernández
wiley +1 more source
Appell polynomials and their relatives II. Boolean theory
The Appell-type polynomial family corresponding to the simplest non-commutative derivative operator turns out to be connected with the Boolean probability theory, the simplest of the three universal non-commutative probability theories (the other two ...
Anshelevich, Michael
core +2 more sources