Results 31 to 40 of about 4,376 (199)

Fractional calculus and integral transforms of the product of a general class of polynomial and incomplete Fox–Wright functions

Advances in Difference Equations, 2020
Motivated by a recent study on certain families of the incomplete H-functions (Srivastava et al. in Russ. J. Math. Phys. 25(1):116–138, 2018), we aim to investigate and develop several interesting properties related to product of a more general ...
K. Jangid, R. K. Parmar, R. Agarwal, Sunil D. Purohit   +3 more
doaj   +1 more source

Adaptive Integrand Decomposition [PDF]

, 2016
We present a simplified variant of the integrand reduction algorithm for multiloop scattering amplitudes in $d = 4 - 2\epsilon$ dimensions, which exploits the decomposition of the integration momenta in parallel and orthogonal subspaces, $d=d_\parallel ...
Bobadilla, William J. Torres, Mastrolia, Pierpaolo, Peraro, Tiziano, Primo, Amedeo   +3 more
core   +1 more source

On the $$L^2$$-norm of Gegenbauer polynomials [PDF]

Mathematical Sciences, 2021
AbstractGegenbauer, also known as ultra-spherical, polynomials appear often in numerical analysis or interpolation. In the present text we find a recursive formula for and compute the asymptotic behavior of their $$L^2$$ L 2 -norm.
openaire   +3 more sources

Optimum kernels

Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, 2004
Kernel smoothers belong to the most popular nonparametric functional estimates. They provide a simple way of finding structure in data. Kernel smoothing can be very well applied on the regression model.
Jitka Poměnková
doaj   +1 more source

Some identities involving Gegenbauer polynomials [PDF]

Advances in Difference Equations, 2012
11 ...
Kim, Dae, Kim, Taekyun, Rim, Seog-Hoon
openaire   +3 more sources

Discontinuous collocation methods and gravitational self-force applications

, 2021
Numerical simulations of extereme mass ratio inspirals, the mostimportant sources for the LISA detector, face several computational challenges. We present a new approach to evolving partial differential equations occurring in black hole perturbation ...
Barack, Leor, Brubeck, Pablo D., Markakis, Charalampos, O'Boyle, Michael F.   +3 more
core   +1 more source

A Survey on Orthogonal Polynomials from a Monomiality Principle Point of View

Encyclopedia
This survey highlights the significant role of exponential operators and the monomiality principle in the theory of special polynomials. Using operational calculus formalism, we revisited classical and current results corresponding to a broad class of ...
Clemente Cesarano, Yamilet Quintana, William Ramírez   +2 more
doaj   +1 more source

Calculation of Massless Feynman Integrals using Harmonic Sums [PDF]

, 2006
A method for the evaluation of the epsilon expansion of multi-loop massless Feynman integrals is introduced. This method is based on the Gegenbauer polynomial technique and the expansion of the Gamma function in terms of harmonic sums. Algorithms for the
Bekavac, Stefan
core   +1 more source

The Numerical Approximation of Caputo Fractional Derivatives of Higher Orders Using a Shifted Gegenbauer Pseudospectral Method: A Case Study of Two-Point Boundary Value Problems of the Bagley–Torvik Type

Mathematics
This paper introduces a novel Shifted Gegenbauer Pseudospectral (SGPS) method for approximating Caputo fractional derivatives (FDs) of an arbitrary positive order.
Kareem T. Elgindy
doaj   +1 more source

On Sequences of Numbers and Polynomials Defined by Linear Recurrence Relations of Order 2

International Journal of Mathematics and Mathematical Sciences, 2009
Here we present a new method to construct the explicit formula of a sequence of numbers and polynomials generated by a linear recurrence relation of order 2.
Tian-Xiao He, Peter J.-S. Shiue
doaj   +1 more source