Results 51 to 60 of about 12,103,103 (313)

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

A class of linear viscoelastic models based on Bessel functions [PDF]

open access: yes, 2016
In this paper we investigate a general class of linear viscoelastic models whose creep and relaxation memory functions are expressed in Laplace domain by suitable ratios of modified Bessel functions of contiguous order. In time domain these functions are
I. Colombaro, A. Giusti, F. Mainardi
semanticscholar   +1 more source

On infinite series concerning zeros of Bessel functions of the first kind [PDF]

open access: yes, 2016
.A relevant result independently obtained by Rayleigh and Sneddon on an identity on series involving the zeros of Bessel functions of the first kind is derived by an alternative method based on Laplace transforms. Our method leads to a Bernstein function
A. Giusti, F. Mainardi
semanticscholar   +1 more source

Noncommutative symmetric Bessel functions [PDF]

open access: yes, 2008
International audienceThe consideration of tensor products of 0-Hecke algebra modules leads to natural analogs of the Bessel J-functions in the algebra of noncommutative symmetric functions.
Thibon, Jean-Yves   +1 more
core   +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

Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications

open access: yes, 2018
Let Iv (x) be modified Bessel functions of the first kind. We prove the monotonicity property of the function x → Iu (x) Iv (x)/I(u+v)/2 (x) on (0,∞) .
Zhen-Hang Yang, Shenzhou Zheng
semanticscholar   +1 more source

Littlewood–Paley–Stein gk-functions for Fourier–Bessel expansions [PDF]

open access: yes, 2010
gk-Functions related to the Poisson semigroup of Fourier–Bessel expansions are defined for each k⩾1. It is proved that these gk-functions are Calderón–Zygmund operators in the sense of the associated space of homogeneous type, hence their mapping ...
Roncal, Luz   +3 more
core   +1 more source

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

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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