Results 101 to 110 of about 58,663 (206)

Inclusion Theorems of Certain Integral Transform Related to Normalized Hypergeometric Functions and Generalized Bessel Functions

International Journal of Mathematics and Mathematical Sciences
This study explores the geometric properties of normalized Gaussian hypergeometric functions in a certain subclass of analytic functions. This work investigates the inclusion properties of integral operators associated with generalized Bessel functions ...
Manas Kumar Giri, Raghavendar K.
doaj   +1 more source

Which singular tangent bundles are isomorphic?

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
wiley   +1 more source

Generalized Bessel functions and Kapteyn series

Computers & Mathematics with Applications, 1998
Kapteyn series are defined by \[ \sum^\infty_{n=0} a_nJ_{\nu+n} \bigl\{(\nu+n) z\bigr\}, \] where \(J_\mu\) is the Bessel function of the first kind and order \(\mu\). In this paper, the authors investigate the possibility of generalizing these series to the multivariable generalized Bessel functions.
Dattoli, G., Torre, A., Lorenzutta, S., Maino, G.   +3 more
openaire   +1 more source

Certain Geometric Properties of Generalized Dini Functions

Journal of Function Spaces, 2018
We are mainly interested in some geometric properties for the combinations of generalized Bessel functions of the first kind and their derivatives known as Dini functions.
Muhey U. Din, Mohsan Raza, Saqib Hussain, Maslina Darus   +3 more
doaj   +1 more source

Inequalities on an extended Bessel function

Journal of Inequalities and Applications, 2018
This paper studies an extended Bessel function of the form Bb,p,ca(x):=∑k=0∞(−c)kk!Γ(ak+p+b+12)(x2)2k+p. $$ {}_{a}\mathtt{B}_{b, p, c}(x):= \sum _{k=0}^{\infty }\frac{(-c)^{k}}{k! \Gamma { ( a k +p+\frac{b+1}{2} ) } } \biggl( \frac{x}{2} \biggr) ^{2k+p}.
Rosihan M. Ali, See Keong Lee, Saiful R. Mondal   +2 more
doaj   +1 more source

Certain Fractional Integral Formulas Involving the Product of Generalized Bessel Functions

The Scientific World Journal, 2013
We apply generalized operators of fractional integration involving Appell’s function F3(·) due to Marichev-Saigo-Maeda, to the product of the generalized Bessel function of the first kind due to Baricz.
D. Baleanu, P. Agarwal, S. D. Purohit
doaj   +1 more source

On the boundedness of square function generated by the Bessel differential operator in weighted Lebesque Lp,α spaces

Open Mathematics, 2018
In this paper, we consider the square ...
Bayrakci Simten
doaj   +1 more source

Marichev-Saigo-Maeda fractional integration operators of the Bassel functions

Le Matematiche, 2012
In this paper, we apply generalized operators of fractional integration involving Appell’s function F_3 (.) due to Marichev-Saigo-Maeda, to the Bessel function of first kind.
Sunil D. Purohit, Daya L. Suthar, Shiam L. Kalla   +2 more
doaj  

Analytical and geometrical approach to the generalized Bessel function

Journal of Inequalities and Applications
In continuation of Zayed and Bulboacă work in (J. Inequal. Appl. 2022:158, 2022), this paper discusses the geometric characterization of the normalized form of the generalized Bessel function defined by V ρ , r ( z ) : = z + ∑ k = 1 ∞ ( − r ) k 4 k ( 1 )
Teodor Bulboacă, Hanaa M. Zayed
doaj   +1 more source

Generalization of the modified Bessel function and its generating function

, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Griffiths, J., Leonenko, G., Williams, J.   +2 more
openaire   +2 more sources