Results 11 to 20 of about 11,043 (164)

Appell-Type Functions and Chebyshev Polynomials

open access: yesMathematics, 2019
In a recent article we noted that the first and second kind Cebyshev polynomials can be used to separate the real from the imaginary part of the Appell polynomials. The purpose of this article is to show that the same classic polynomials can also be used
Pierpaolo Natalini, Paolo Emilio Ricci
doaj   +1 more source

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

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

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

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  

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, Kıymaz O. A certain generalized Pochhammer symbol and its applications to hypergeometric functions. Applied Mathematics and Computation, 2014, 226 : 484-491] is defined. Several
Yasar, Banu Yilmaz, Ozarslan, Mehmet Ali
openaire   +3 more sources

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

Integrals of Bessel functions

open access: yesApplied Mathematics Letters, 2013
We use the operator method to evaluate a class of integrals involving Bessel or Bessel-type functions. The technique we propose is based on the formal reduction of these family of functions to Gaussians.
D. Babusci   +4 more
openaire   +3 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

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