Results 51 to 60 of about 12,103,103 (313)
Unified Bessel, Modified Bessel, Spherical Bessel and Bessel-Clifford Functions
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
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
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A class of linear viscoelastic models based on Bessel functions [PDF]
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]
.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]
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
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Some Fractional Operators with the Generalized Bessel–Maitland Function
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
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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]
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
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Certain Geometric Properties of Lommel and Hyper-Bessel Functions
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
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Novel results on conformable Bessel functions
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
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