Results 1 to 10 of about 170,209 (319)

Infinite Series and Logarithmic Integrals Associated to Differentiation with Respect to Parameters of the Whittaker M_κ,μ(x) Function I

Axioms, 2023
In this paper, first derivatives of the Whittaker function Mκ,μx are calculated with respect to the parameters. Using the confluent hypergeometric function, these derivarives can be expressed as infinite sums of quotients of the digamma and gamma ...
Alexander Apelblat, Juan Luis González-Santander   +1 more
doaj   +1 more source

A Theoretical Estimate of the Temperature Dependence of Electron Concentration and Lorenz Number in the Spherically Symmetric Zone of Semiconductors

Medžiagotyra, 2023
An accurate approach is proposed for the temperature dependence of electron concentration and Lorenz number in the spherically symmetric zone of semiconductors.
Mehriban EMEK
doaj   +1 more source

Certain integral transforms concerning the product of family of polynomials and generalized incomplete functions

Moroccan Journal of Pure and Applied Analysis, 2020
In this article, we have derived some integral transforms of the polynomial weighted incomplete H-functions and incomplete ̄H-functions. The obtained image formulas are of general nature and may, as special cases, give rise to integral transforms ...
Meena Sapna, Bhatter Sanjay, Jangid Kamlesh, Purohit Sunil Dutt   +3 more
doaj   +1 more source

Investigation of egg production curve in ostrich using nonlinear functions

Poultry Science, 2023
: In most countries, ostrich farming is considered a developing branch of the efficient poultry industry. The profitability of ostrich farm requires specific consideration of productions features such as the female fertility, egg production, hatchability,
Abbas Shibak, Ali Maghsoudi, Mohammad Rokouei, Homayoun Farhangfar, Hadi Faraji-Arough   +4 more
doaj   +1 more source

Representation of Integral Dispersion Relations by Local Forms

, 2008
The representation of the usual integral dispersion relations (IDR) of scattering theory through series of derivatives of the amplitudes is discussed, extended, simplified, and confirmed as mathematical identities.
Ferreira, Erasmo, Sesma, Javier
core   +1 more source

Initial value problem for the linearized mean field Kramers equation with long-range interactions

, 2013
We solve the initial value problem for the linearized mean field Kramers equation describing Brownian particles with long-range interactions in the $N\rightarrow +\infty$ limit. We show that the dielectric function can be expressed in terms of incomplete
Chavanis, Pierre-Henri
core   +2 more sources

q , ω $q,\omega $ -Tricomi expansions and exponential integral associated with Hahn difference operator

Boundary Value Problems
In this paper, we introduce a q , ω $q,\omega $ -analog of Tricomi expansion based on Hahn’s difference operator. Some properties of q , ω $q,\omega $ -Tricomi expansion are derived and proved in terms of incomplete q , ω $q,\omega $ -gamma functions ...
Karima M. Oraby
doaj   +1 more source

Local field potentials and single unit dynamics in motor cortex of unconstrained macaques during different behavioral states

Frontiers in Neuroscience, 2023
Different sleep stages have been shown to be vital for a variety of brain functions, including learning, memory, and skill consolidation. However, our understanding of neural dynamics during sleep and the role of prominent LFP frequency bands remain ...
Richy Yun, Richy Yun, Richy Yun, Irene Rembado, Irene Rembado, Steve I. Perlmutter, Steve I. Perlmutter, Steve I. Perlmutter, Rajesh P. N. Rao, Rajesh P. N. Rao, Eberhard E. Fetz, Eberhard E. Fetz, Eberhard E. Fetz, Eberhard E. Fetz   +13 more
doaj   +1 more source

A convergent expansion of the Airy's integral with incomplete Gamma functions

, 2020
There are two main power series for the Airy functions, namely the Maclaurin and the asymptotic expansions. The former converges for all finite values of the complex variable, $z$, but it requires a large number of terms for large values of $|z|$, and ...
Alvarez-Perez, Jose Luis
core  

Luminosity Functions of Gamma-Ray Burst Afterglows

, 2007
Aims: Use the standard fireball model to create virtual populations of gamma-ray burst afterglows and study their luminosity functions. Methods: We randomly vary the parameters of the standard fireball model to create virtual populations of afterglows.
Costa, E. H. Gudmundsson, Frail, G. Björnsson, G. Jóhannesson, Gendre, Jakobsson, Jóhannesson, Jóhannesson, Kann, Liang, Nardini, Nousek, Panaitescu, Panaitescu, van Paradijs   +15 more
core   +1 more source