Results 81 to 90 of about 10,852 (206)

How to Succeed at Holographic Correlators Without Really Trying

, 2018
We give a detailed account of the methods introduced in [1] to calculate holographic four-point correlators in IIB supergravity on $AdS_5 \times S^5$. Our approach relies entirely on general consistency conditions and maximal supersymmetry.
Rastelli, Leonardo, Zhou, Xinan
core   +1 more source

Composition Formula for Saigo Fractional q‐Calculus Operator for the q‐Analogue of the H‐Function

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
The purpose of this paper is to investigate key properties of Saigo’s fractional q‐integral and q‐derivative operators involving the q‐analogue of Fox’s H‐function. We establish four main theorems describing the action of Saigo‐type fractional q‐operators on generalised power functions expressed in terms of the q‐Fox H‐function.
Arti Sharma, Vijay Kumar Vyas, Biniyam Shimelis, Ravichandran Vaithiyanathan   +3 more
wiley   +1 more source

Valuing options in Heston's stochastic volatility model: Another analytical approach [PDF]

We are concerned with the valuation of European options in Heston's stochastic volatility model with correlation. Based on Mellin transforms we present new closed-form solutions for the price of European options and hedging parameters.
Frontczak, Robert
core  

Composition Formula for Saigo Fractional Calculus Operator on  p R q  Function

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
In this paper, we use the Saigo operators to create fractional integral and derivative formulations involving the generalized p R q function. The resulting expressions are represented using generalized Wright hypergeometric functions. We develop various results for fractional integrals and derivatives of the Weyl, Erdélyi–Kober, Saigo, and Riemann ...
Belete Debalkie, D. L. Suthar, Rodica D. Costin   +2 more
wiley   +1 more source

Higgs Boson Production via Gluon Fusion: Soft-Gluon Resummation including Mass Effects

, 2015
We analyze soft and collinear gluon resummation effects at the N$^3$LL level for Standard Model Higgs boson production via gluon fusion $gg\to H$ and the neutral scalar and pseudoscalar Higgs bosons of the minimal supersymmetric extension at the N$^3$LL ...
Schmidt, Timo, Spira, Michael
core   +1 more source

Celestial leaf amplitudes

Journal of High Energy Physics
Celestial amplitudes may be decomposed as weighted integrals of AdS3-Witten diagrams associated to each leaf of a hyperbolic foliation of spacetime. We show, for the Kleinian three-point MHV amplitude, that each leaf subamplitude is smooth except for the
Walker Melton, Atul Sharma, Andrew Strominger   +2 more
doaj   +1 more source

Light transformation: a celestial and Carrollian perspective

Journal of High Energy Physics
In this paper, we first study the consequence of spacetime translations and Lorentz transformations on Celestial CFT OPEs. Working with the light transforms of the operators belonging to the modified Mellin basis, we found that the leading order ...
Sourish Banerjee, Rudranil Basu, Sayali Atul Bhatkar   +2 more
doaj   +1 more source

Motivic Mellin transforms

This work brings Mellin transforms into the realm of motivic integration. The new, larger class of motivic functions is stable under motivic Mellin and Fourier transforms, with general Fubini results and change of variables formulas. It specializes to $p$-adic integrals and $p$-adic Mellin transforms uniformly in $p$, with transfer principles between ...
Cluckers, Raf, Loeser, François, Nguyen, Kien Huu, Vermeulen, Floris   +3 more
openaire   +2 more sources

Functional Mellin Transforms

, 2013
Functional integrals are defined in terms of locally compact topological groups and their associated Banach-valued Haar integrals. This approach generalizes the functional integral scheme of Cartier and DeWitt-Morette. The definition allows a construction of functional Mellin transforms.
openaire   +2 more sources

Exact solution to a class of problems for the Burgers’ equation on bounded intervals

Partial Differential Equations in Applied Mathematics
In this study, we consider Burgers’ equation with fixed Dirichlet boundary conditions on generic bounded intervals. By employing the Hopf–Cole transformation and a recently established exact operational solution for linear reaction–diffusion equations ...
Kwassi Anani, Mensah Folly-Gbetoula
doaj   +1 more source