Results 11 to 20 of about 528 (51)
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 +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 +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 +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
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 +2 more
wiley +1 more source
Some special functions and cylindrical diffusion equation on α-time scale
Demonstratio MathematicaThis article is dedicated to present various concepts on α\alpha -time scale, including power series, Taylor series, binomial series, exponential function, gamma function, and Bessel functions of the first kind.
Silindir Burcu +3 more
doaj +1 more source
Generalization of the Modified Bessel Function and Its Generating Function [PDF]
, 2005 2000 Mathematics Subject Classification: 33C10, 33-02, 60K25This paper presents new generalizations of the modified Bessel function and its generating function.
Griffiths, J. +2 more
core
Inequalities for integrals of the modified Struve function of the first kind
, 2018 Simple inequalities for some integrals involving the modified Struve function of the first kind $\mathbf{L}_{\nu}(x)$ are established. In most cases, these inequalities have best possible constant.
Gaunt, Robert E.
core +2 more sources