Results 51 to 60 of about 13,300 (186)

A massive Feynman integral and some reduction relations for Appell functions

, 2007
New explicit expressions are derived for the one-loop two-point Feynman integral with arbitrary external momentum and masses $m_1^2$ and $m_2^2$ in D dimensions. The results are given in terms of Appell functions, manifestly symmetric with respect to the
Abramowitz M., Appell P., Bailey W. N., Diehl H. W., Erdélyi A., M. A. Shpot, Prudnikov A., Slater L. J., Srivastava H. M., Tarasov V. F.   +9 more
core   +1 more source

A Unified Framework for Dynamic Analysis and Path Tracking Control of Multi‐Rotor Aerial Manipulators

International Journal of Mechanical System Dynamics, Volume 5, Issue 4, Page 629-653, December 2025.
ABSTRACT This study presents a comprehensive and standardized foundation for the mathematical modeling and control of flying‐base‐mounted manipulators, addressing several critical challenges in aerial robotics. The primary contributions of this study include: (1) the development of a unified framework for computing the system's generalized forces ...
S. A. Mirnajafizadeh, A. M. Shafei
wiley   +1 more source

A Study of the q-Truncated Exponential–Appell Polynomials

Mathematics
This article introduces the 2-variable q-truncated exponential–Appell (q-trunc. exp. Appell) polynomials and investigates their fundamental properties. Specific results are derived for the q-trunc. exp.
Francesco Aldo Costabile, Subuhi Khan, Hassan Ali   +2 more
doaj   +1 more source

Ghosting at the border: the racialization of extraterritoriality at the US Supreme Court Les limbes de la frontière : racialisation de l'extraterritorialité par la Cour suprême des États‐Unis

Journal of the Royal Anthropological Institute, Volume 31, Issue 4, Page 1116-1135, December 2025.
The theoretical association of an inclusive public sphere with liberal democratic governing begs a closer examination. This article pursues forms of disqualification implicit in the idea of political community as a national project, ultimately finding that the exclusion of foreigners does not begin on the far side of the US border, but well within it ...
Carol J. Greenhouse
wiley   +1 more source

Feynman integral in $\mathbb R^1\oplus\mathbb R^m$ and complex expansion of $_2F_1$

, 2016
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

Making Results‐based Payments Work across Europe: Balancing Trust, Monitoring and Farmer Acceptability Rendre les paiements au résultat fonctionnels à travers l’Europe : concilier confiance, suivi et acceptabilité par les agriculteurs Ergebnisorientierte Zahlungen in ganz Europa erfolgreich umsetzen: Vertrauen, Überwachung und Akzeptanz in Einklang bringen

EuroChoices, Volume 24, Issue 3, Page 51-59, December 2025.
Summary Paying for the results of agri‐environmental measures, rather than paying for prescribed management practices (action‐based), has become an attractive design option to enhance scheme effectiveness and uptake by farmers. There is a wide range of approaches to integrating results‐based elements, with so‐called hybrid options featuring base ...
Katrin Prager, James Moran, Stephen Chaplin, Sven Defrijn   +3 more
wiley   +1 more source

On generalized heat polynomials

International Journal of Mathematics and Mathematical Sciences, 1988
We consider the generalized heat equation of nth order ∂2u∂r2+n−1r∂u∂r−α2r2u=∂u∂t. If the initial temperature is an even power function, then the heat transform with the source solution as the kernel gives the heat polynomial.
C. Nasim
doaj   +1 more source

Poisson kernels of q$q$‐3D Hermite polynomials expansion for functions of several variables via generalized q$q$‐heat equations

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract The representation of an analytic function as a series involving q$q$‐polynomials is a fundamental problem in classical analysis and approximation theory [Ramanujan J. 19 (2009), no. 3, 281–303]. In this paper, our investigation is focusing on q$q$‐analog complex Hermite polynomials, which were motivated by Ismail and Zhang [Adv. Appl.
Jian Cao
wiley   +1 more source

Some Results on Generalized Appell Functions

Revista Técnica de la Facultad de Ingeniería, 2009
Recently A.  H. Al-Shammery and S.  L.  Kalla presented generalizations for the Appell”™s functions     Fi (w, z) (i = 1, 2, 3), introducing parameters  t, t'. In this paper the generalized Appell”™s functions Fi t, t' (w,z),  (i = 1,2,3)
Jaime Castillo P., Leda Galué
doaj  

Orthogonal Appell bases for Hodge-de Rham systems in Euclidean spaces [PDF]

, 2011
Recently the Gelfand-Tsetlin construction of orthogonal bases has been explicitly described for the spaces of k-homogeneous polynomial solutions of the Hodge-de Rham system in the Euclidean space R^m which take values in the space of s-vectors.
Lavicka, Roman
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