Results 11 to 20 of about 38 (38)

The expected signature of Brownian motion stopped on the boundary of a circle has finite radius of convergence

Bulletin of the London Mathematical Society, Volume 53, Issue 1, Page 285-299, February 2021., 2021
Abstract The expected signature is an analogue of the Laplace transform for probability measures on rough paths. A key question in the area has been to identify a general condition to ensure that the expected signature uniquely determines the measures.
Horatio Boedihardjo, Joscha Diehl, Marc Mezzarobba, Hao Ni   +3 more
wiley   +1 more source

On the Lebedev transformation in Hardy′s spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 66, Page 3603-3616, 2004., 2004
We establish the inverse Lebedev expansion with respect to parameters and arguments of the modified Bessel functions for an arbitrary function from Hardy′s space H2,A, A > 0. This gives another version of the Fourier‐integral‐type theorem for the Lebedev transform. The result is generalized for a weighted Hardy space H⌢2,A≡H⌢2((−A,A);|Γ(1+Rez+iτ)|2dτ),
Semyon B. Yakubovich
wiley   +1 more source

The Hermite polynomials and the Bessel functions from a general point of view

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 57, Page 3633-3642, 2003., 2003
We introduce new families of Hermite polynomials and of Bessel functions from a point of view involving the use of nonexponential generating functions. We study their relevant recurrence relations and show that they satisfy differential‐difference equations which are isospectral to those of the ordinary case.
G. Dattoli, H. M. Srivastava, D. Sacchetti   +2 more
wiley   +1 more source

Contact problem for bonded nonhomogeneous materials under shear loading

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 29, Page 1821-1832, 2003., 2003
The present paper examines the contact problem related to shear punch through a rigid strip bonded to a nonhomogeneous medium. The nonhomogeneous medium is bonded to another nonhomogeneous medium. The strip is perpendicular to the y‐axis and parallel to the x‐axis.
B. M. Singh, J. Rokne, R. S. Dhaliwal, J. Vrbik   +3 more
wiley   +1 more source

A note on monotonicity property of Bessel functions

International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 3, Page 561-566, 1997., 1997
A theorem of Lorch, Muldoon and Szegö states that the sequence is decreasing for α > −1/2, where Jα(t) the Bessel function of the first kind order α and jα,k its kth positive root. This monotonicity property implies Szegö′s inequality , when α ≥ α′ and α′ is the unique solution of .
Stamatis Koumandos
wiley   +1 more source

Generalized Neumann and Kapteyn expansions

International Journal of Stochastic Analysis, Volume 8, Issue 4, Page 415-421, 1995., 1995
Certain formal series of a most general nature are specialized so as to deduce expansions in terms of a class of generalized hypergeometric functions. These series generalize the Neumann and Kapteyn series in the theory of Bessel functions, and their convergence is investigated. An example of a succinct expansion is also given.
Harold Exton
wiley   +1 more source

Inclusion Theorems of Certain Integral Transform Related to Normalized Hypergeometric Functions and Generalized Bessel Functions

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
This study explores the geometric properties of normalized Gaussian hypergeometric functions in a certain subclass of analytic functions. This work investigates the inclusion properties of integral operators associated with generalized Bessel functions of the first kind.
Manas Kumar Giri, Raghavendar K., Teodor Bulboaca   +2 more
wiley   +1 more source

The evaluation of a definite integral by the method of brackets illustrating its flexibility

Open Mathematics
The method of brackets is a procedure to evaluate definite integrals over a half-line. It consists of a small number of rules. This article illustrates the method by evaluating an integral by several variations of the method. The integrand is the product
Gonzalez Ivan, Santander John Lopez, Moll Victor H.   +2 more
doaj   +1 more source

FAST EXPANSION INTO HARMONICS ON THE DISK: A STEERABLE BASIS WITH FAST RADIAL CONVOLUTIONS. [PDF]

SIAM J Sci Comput, 2023
Marshall NF, Mickelin O, Singer A.
europepmc   +1 more source

Convexity of ratios of the modified Bessel functions of the first kind with applications. [PDF]

Rev Mat Complut, 2022
Yang ZH, Tian JF.
europepmc   +1 more source