Results 11 to 20 of about 7,847 (103)

On an integral transform

International Journal of Mathematics and Mathematical Sciences, 1988
A formula of inversion is established for an integral transform whose kernel is the Bessel function Ju(kr) where r varies over the finite interval (0,a) and the order u is taken to be the eigenvalue parameter.
D. Naylor
doaj   +1 more source

New inversion, convolution and Titchmarsh's theorems for the half-Hilbert transform [PDF]

, 2013
While exploiting the generalized Parseval equality for the Mellin transform, we derive the reciprocal inverse operator in the weighted L2-space related to the Hilbert transform on the nonnegative half-axis.
S. Yakubovich
semanticscholar   +1 more source

Distributional properties of exponential functionals of Levy processes [PDF]

, 2012
We study the distribution of the exponential functional $I(\xi,\eta)=\int_0^{\infty} \exp(\xi_{t-}) \d \eta_t$, where $\xi$ and $\eta$ are independent L\'evy processes.
Kuznetsov, A., Pardo, J. C., Savov, M.
core   +3 more sources

On refined volatility smile expansion in the Heston model [PDF]

, 2010
It is known that Heston's stochastic volatility model exhibits moment explosion, and that the critical moment $s_+$ can be obtained by solving (numerically) a simple equation.
Friz, P., Gerhold, S., Gulisashvili, A., Sturm, S.   +3 more
core   +6 more sources

A note on arithmetic Diophantine series [PDF]

Czechoslovak Mathematical Journal, 2018
We consider an asymptotic analysis for series related to the work of Hardy and Littlewood (1923) on Diophantine approximation, as well as Davenport. In particular, we expand on ideas from some previous work on arithmetic series and the RH.
A. E. Patkowski
semanticscholar   +1 more source

From duality to determinants for q-TASEP and ASEP [PDF]

, 2012
We prove duality relations for two interacting particle systems: the $q$-deformed totally asymmetric simple exclusion process ($q$-TASEP) and the asymmetric simple exclusion process (ASEP).
Borodin, Alexei, Corwin, Ivan, Sasamoto, Tomohiro   +2 more
core   +1 more source

The shifted convolution of generalized divisor functions [PDF]

, 2016
We prove an asymptotic formula for the shifted convolution of the divisor functions $d_k(n)$ and $d(n)$ with $k \geq 4$, which is uniform in the shift parameter and which has a power-saving error term, improving results obtained previously by Fouvry and ...
Topacogullari, Berke
core   +2 more sources

Moments of central values of cubic Hecke $L$-functions of $\mathbb{Q}(i)$

, 2020
In this paper, we study moments of central values of cubic Hecke $L$-functions in $\mathbb{Q}(i)$, and establish quantitative non-vanishing result for those values.Comment: 15 ...
Gao, Peng, Zhao, Liangyi
core   +1 more source

Some New Applications of the Mellin Transform Involving the Lambert Transforms and Implications for the Riemann Hypothesis

Axioms
This work investigates the interplay between the Mellin transform and Lambert transforms to derive several novel results. In particular, we establish new inversion formulae for the Lambert transforms along with a Plancherel-type identity.
Hari M. Srivastava, Jeetendrasingh Maan, Emilio R. Negrín   +2 more
doaj   +1 more source

On Modified Mellin Transform of Generalized Functions

, 2013
We investigate the modified Mellin transform on certain function space of generalized functions. We first obtain the convolution theorem for the classical and distributional modified Mellin transform.
S. Al-Omari, Adem Kılıçman
semanticscholar   +1 more source