Results 21 to 30 of about 141,326 (223)

UMD-valued square functions associated with Bessel operators in Hardy and BMO spaces

open access: yes, 2013
We consider Banach valued Hardy and BMO spaces in the Bessel setting. Square functions associated with Poisson semigroups for Bessel operators are defined by using fractional derivatives.
Betancor, J. J.   +2 more
core   +1 more source

Casorati Determinant Solutions for the Discrete Painlev\'e III Equation

open access: yes, 1994
The discrete Painlev\'e III equation is investigated based on the bilinear formalism. It is shown that it admits the solutions expressed by the Casorati determinant whose entries are given by the discrete Bessel function.
Alfred Ramani   +4 more
core   +2 more sources

Extension of Oppenheim's Problem to Bessel Functions

open access: yesJournal of Inequalities and Applications, 2008
Our aim is to extend some trigonometric inequalities to Bessel functions. Moreover, we deduce the hyperbolic analogue of these trigonometric inequalities, and we extend these inequalities to modified Bessel functions.
Ling Zhu, Árpád Baricz
doaj   +1 more source

Turán-Type Inequalities for Bessel, Modified Bessel and Kr ̈tzel Functions

open access: yesJournal of Kufa for Mathematics and Computer, 2018
We establish Turán-type inequalities for Bessel functions, modified Bessel functions, Kr ̈tzel function and Beta function, by using a new form of Cauchy–Bunyakovsky–Schwarz inequality.
Piyush Kumar Bhandari, S. K. Bissu
doaj   +1 more source

Unified Bessel, Modified Bessel, Spherical Bessel and Bessel-Clifford Functions

open access: yes, 2016
In the present paper, unification of Bessel, modified Bessel, spherical Bessel and Bessel-Clifford functions via the generalized Pochhammer symbol [ Srivastava HM, Cetinkaya A, K ymaz O. A certain generalized Pochhammer symbol and its applications to hypergeometric functions.
Yaşar, Banu Yılmaz   +1 more
openaire   +2 more sources

On partial sums of normalized q-Bessel functions

open access: yes, 2017
In the present investigation our main aim is to give lower bounds for the ratio of some normalized $q$-Bessel functions and their sequences of partial sums.
Aktaş, İbrahim, Orhan, Halit
core   +1 more source

Color Routing and Beam Steering of Single‐Molecule Emission with a Spherical Silicon Nanoantenna

open access: yesAdvanced Functional Materials, EarlyView.
We experimentally demonstrate broadband directional emission from single molecules using a single spherical silicon nanoparticle assembled via DNA origami. By varying nanoparticle (NP) size and emitter position, we achieve unidirectional emission, beam steering, and color routing at the nanoscale, revealing modal interference as the underlying ...
María Sanz‐Paz   +9 more
wiley   +1 more source

Some expansions associated with Bessel functions [PDF]

open access: yes, 1935
An Expansion for the Product of Two Bessel Functions.-1.1. An expansion for the product of two Bessel functions obtained by one of us(1) led to the discovery of a different expansion for the said product multiplied by the leading terms in the power ...
Bateman, H., Rice, S. O.
core  

Bounds for Tur\'anians of modified Bessel functions

open access: yes, 2013
Motivated by some applications in applied mathematics, biology, chemistry, physics and engineering sciences, new tight Tur\'an type inequalities for modified Bessel functions of the first and second kind are deduced.
Alexandrov   +58 more
core   +1 more source

Root‐Stimulated Movements in Mimosa Pudica for Biohybrid Robotic Systems

open access: yesAdvanced Robotics Research, EarlyView.
This study demonstrates that thermal and electrical stimulation of Mimosa pudica root induces movement of the petiole and pinnules without direct stimulation of the aerial organs, thereby enabling a plant‐based robotic gripper and providing a foundation for the development of intelligent and sustainable systems.
Misao Sato   +6 more
wiley   +1 more source

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