Results 31 to 40 of about 2,722,837 (288)

On the Zeros of the Big q-Bessel Functions and Applications

open access: yesMathematics, 2020
This paper deals with the study of the zeros of the big q-Bessel functions. In particular, we prove new orthogonality relations for functions which are similar to the one for the classical Bessel functions.
Fethi Bouzeffour   +2 more
doaj   +1 more source

A fourth-order Bessel fitting method for the numerical solution of the Schrödinger equation [PDF]

open access: yes, 1992
A new fourth-order method is developed for the numerical integration of the one-dimensional radial Schrödinger equation. This method integrates Bessel and Neumann functions exactly.
A.D. Raptis   +5 more
core   +1 more source

Some results for Laplace-type integral operator in quantum calculus

open access: yesAdvances in Difference Equations, 2018
In the present article, we wish to discuss q-analogues of Laplace-type integrals on diverse types of q-special functions involving Fox’s Hq $H_{q}$-functions.
Shrideh K. Q. Al-Omari   +2 more
doaj   +1 more source

APPLICATION OF THE BESSEL-HYBRID FUNCTIONS FOR THE LINEAR FREDHOLM-VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS [PDF]

open access: yesRomanian Journal of Mathematics and Computer Science, 2015
In this paper a collocation method based on the Bessel-hybrid functions is used for approximation of the solution of linear Fredholm-Volterra integro-differential equations (FVIDEs) under mixed conditions.
YADOLLAH ORDOKHANI, HANIYE DEHESTANI
doaj  

Inequalities for the Modified k-Bessel Function

open access: yesInternational Journal of Analysis and Applications, 2017
The article considers the generalized k-Bessel functions and represents it as Wright functions. Then we study the monotonicity properties of the ratio of two different orders k- Bessel functions, and the ratio of the k-Bessel and the k-Bessel functions ...
Saiful Rahman Mondal   +1 more
doaj   +2 more sources

Indefinite integrals involving Bessel functions

open access: yes, 1967
Expressions are derived for the indefinite integrals, [equations] where C0(ar)are zero order Bessel functions, Z0(Ar) are zero order modified Bessel functions and f(r) is a polynomial in r.
Peavy, B. A.
core   +1 more source

Generating Functions for Bessel Functions [PDF]

open access: yesCanadian Journal of Mathematics, 1959
On replacing the parameter n in Bessel's differential equation1.1by the operator y(∂/∂y), the partial differential equation Lu = 0 is constructed, where1.2This operator annuls u(x, y) = v(x)yn if, and only if, v(x) satisfies (1.1) and hence is a cylindrical function of order n.
openaire   +2 more sources

Certain Geometric Properties of Lommel and Hyper-Bessel Functions

open access: yesMathematics, 2019
In this article, we are mainly interested in finding the sufficient conditions under which Lommel functions and hyper-Bessel functions are close-to-convex with respect to the certain starlike functions.
Saima Mushtaq, Mohsan Raza, Muhey U Din
doaj   +1 more source

Some Fractional Operators with the Generalized Bessel–Maitland Function

open access: yesDiscrete Dynamics in Nature and Society, 2020
In this paper, we aim to determine some results of the generalized Bessel–Maitland function in the field of fractional calculus. Here, some relations of the generalized Bessel–Maitland functions and the Mittag-Leffler functions are considered. We develop
R. S. Ali   +5 more
doaj   +1 more source

Novel results on conformable Bessel functions

open access: yesNonlinear Engineering, 2022
Novel results on conformable Bessel functions are proposed in this study. We complete this study by proposing and proving certain properties of the Bessel functions of first order involving their conformable derivatives or their zeros.
Martínez Francisco   +3 more
doaj   +1 more source

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