Results 91 to 100 of about 4,376 (199)

An integral formula for L^2-eigenfunctions of a fourth order Bessel-type differential operator

, 2010
We find an explicit integral formula for the eigenfunctions of a fourth order differential operator against the kernel involving two Bessel functions.
Erdélyi A., Gradshteyn I. S., Jan Möllers, Toshiyuki Kobayashi   +3 more
core   +1 more source

Summed Series Involving ₁F₂ Hypergeometric Functions

Mathematics
Summation of infinite series has played a significant role in a broad range of problems in the physical sciences and is of interest in a purely mathematical context.
Jack C. Straton
doaj   +1 more source

Rényi Entropies of Multidimensional Oscillator and Hydrogenic Systems with Applications to Highly Excited Rydberg States. [PDF]

Entropy (Basel), 2022
Dehesa JS.
europepmc   +1 more source

Some identities involving generalized Gegenbauer polynomials [PDF]

Advances in Difference Equations, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Generalized and mixed type Gegenbauer polynomials

Journal of Mathematical Analysis and Applications, 2012
Using the integral representation method and the monomiality principle (see e.g.[\textit{G. Dattoli}, Advanced special functions and applications. Proceedings of the workshop, Melfi, Italy, May 9-12, 1999. Rome: Aracne Editrice. Proc. Melfi Sch. Adv. Top. Math. Phys.
Khan, Subuhi, Al-Gonah, Ahmed Ali, Yasmin, Ghazala   +2 more
openaire   +1 more source

High Dimensional Atomic States of Hydrogenic Type: Heisenberg-like and Entropic Uncertainty Measures. [PDF]

Entropy (Basel), 2021
Dehesa JS.
europepmc   +1 more source

Analysis of linear capillary gravity wave scattering by a submerged plate over an asymmetrical trench

Mathematics in Applied Sciences and Engineering
To protect a harbor from the open sea, one can consider a sustainable construction of breakwater in the form of a submerged vertical thin barrier over an asymmetric rectangular trench.
Rumpa Chakraborty, Mampi Majhi
doaj   +1 more source

Higher-Dimensional Fractional Order Modelling for Plasma Particles with Partial Slip Boundaries: A Numerical Study. [PDF]

Nanomaterials (Basel), 2021
Zubair T, Asjad MI, Usman M, Awrejcewicz J.   +3 more
europepmc   +1 more source

Exploring Fekete-Szegő inequalities for an admissible class of bi-univalent functions involved Gegenbauer polynomials

Arab Journal of Basic and Applied Sciences
This paper presents a newly defined subclass of bi-univalent functions linked to the Genenbauer polynomial. The functions in this subclass satisfy specific subordination conditions within a symmetric domain inside the open unit disk.
Sa’ud Al-Sa’di, Ibrar Ahmad, Muge Sakar, Saqib Hussain, Saima Noor   +4 more
doaj   +1 more source

Two-term scattering phase function for photon transport to model subdiffuse reflectance in superficial tissues. [PDF]

Biomed Opt Express, 2023
Jacques SL, McCormick NJ.
europepmc   +1 more source