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q-Sumudu Transforms of q-Analogues of Bessel Functions [PDF]

open access: yesThe Scientific World Journal, 2014
The main purpose of this paper is to evaluate q-Sumudu transforms of a product of q-Bessel functions. Interesting special cases of theorems are also discussed.
Faruk Uçar
doaj   +2 more sources

ON WEIGHTED GENERALIZED FUNCTIONS ASSOCIATED WITH QUADRATIC FORMS

open access: yesПроблемы анализа, 2016
In this article we consider certain types of weighted generalized functions associated with nondegenerate quadratic forms. Such functions and their derivatives are used for constructing fundamental solutions of iterated ultra-hyperbolic equations with ...
E. L. Shishkina
doaj   +4 more sources

The Bessel equation on the quantum calculus [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
A large number of the most diverse problems related to almost all the most important branches of mathematical physics and designed to answer topical technical questions are associated with the use of Bessel functions.
S. Shaimardan   +2 more
doaj   +2 more sources

On Kudriasov Conditions for Univalence of Integral Operators Defined by Generalized Bessel Functions

open access: yesMathematics, 2022
In this article, we studied the necessary conditions for the univalence of integral operators that involve two functions: the generalized Bessel function and a function from the well-known class of normalized analytic functions in the open unit disk. The
Mohsan Raza   +4 more
doaj   +1 more source

SIMPLIFIED FORMULAS FOR SOME BESSEL FUNCTIONS AND THEIR APPLICATIONS IN EXTENDED SURFACE HEAT TRANSFER

open access: yesBarekeng, 2022
Bessel functions find many applications in Physics and Engineering fields. Some of these applications are in the analysis of extended surface heat transfer where the cross-sections vary.
Irvan Irvan   +4 more
doaj   +1 more source

Starlikeness of Normalized Bessel Functions with Symmetric Points

open access: yesJournal of Function Spaces, 2021
Bessel functions are related with the known Bessel differential equation. In this paper, we determine the radius of starlikeness for starlike functions with symmetric points involving Bessel functions of the first kind for some kinds of normalized ...
Maryam Nazir   +4 more
doaj   +1 more source

The Spherical Harmonic Family of Beampatterns

open access: yesAcoustics, 2022
The free space solution to the wave equation in spherical coordinates is well known as a separable product of functions. Re-examination of these functions, particularly the sums of spherical Bessel and harmonic functions, reveals behaviors which can ...
Kevin J. Parker, Miguel A. Alonso
doaj   +1 more source

Bessel Transform of -Bessel Lipschitz Functions

open access: yesJournal of Mathematics, 2013
Using a generalized translation operator, we obtain an analog of Theorem 5.2 in Younis (1986) for the Bessel transform for functions satisfying the -Bessel Lipschitz condition in .
Radouan Daher, Mohamed El Hamma
doaj   +1 more source

On Geometric Properties of Normalized Hyper-Bessel Functions

open access: yesMathematics, 2019
In this paper, the normalized hyper-Bessel functions are studied. Certain sufficient conditions are determined such that the hyper-Bessel functions are close-to-convex, starlike and convex in the open unit disc.
Khurshid Ahmad   +5 more
doaj   +1 more source

Explicit solutions to fractional diffusion equations via Generalized Gamma Convolution [PDF]

open access: yes, 2010
In this paper we deal with Mellin convolution of generalized Gamma densities which leads to integrals of modified Bessel functions of the second kind. Such convolutions allow us to explicitly write the solutions of the time-fractional diffusion equations
D'Ovidio, Mirko
core   +1 more source

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