Results 11 to 20 of about 11,888,948 (254)

Bessel's Functions [PDF]

open access: yesNature, 1899
I ONCE stated that a good style of writing English is not a strong point amongst British mathematicians, and the justice of this remark is exemplified by Prof. Hill's letter on this subject (NATURE, July 8), since it contains the phrases Meissel's tables, Smith's tables, Aldis' tables, Isherwood's tables, which are correct; and Bessel functions ...
exaly   +7 more sources

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

An algorithm for the rapid numerical evaluation of Bessel functions of real orders and arguments [PDF]

open access: yesAdvances in Computational Mathematics, 2017
We describe a method for the rapid numerical evaluation of the Bessel functions of the first and second kinds of nonnegative real orders and positive arguments.
J. Bremer
semanticscholar   +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

Theory of Fundamental Bessel Functions of High Rank [PDF]

open access: yesMemoirs of the American Mathematical Society, 2016
In this article, we shall study fundamental Bessel functions for $\mathrm{GL}_n(\mathbb{F})$ arising from the Vorono\"i summation formula for any rank $n$ and field $\mathbb{F} = \mathbb{R}$ or $\mathbb{C}$, with focus on developing their analytic and ...
Zhi Qi
semanticscholar   +1 more source

Fractional-order Bessel functions with various applications

open access: yesApplied Mathematics, 2019
We introduce fractional-order Bessel functions (FBFs) to obtain an approximate solution for various kinds of differential equations. Our main aim is to consider the new functions based on Bessel polynomials to the fractional calculus.
Haniye Dehestani   +2 more
semanticscholar   +1 more source

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

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