Results 121 to 130 of about 821 (208)

The Fractional Fourier Transform of Hypergeometric-Gauss Beams through the Hard Edge Aperture

, 2015
-Based on the Collins integral formula and Lohmann optical system, we expand the hard edge aperture into complex Gauss function and derive an approximate analytic expression of intensity distribution theoretically for Hypergeometric-Gauss beams through ...
Mengyao Fang, Wei Huang, Jun Qu, Ji Peng
core  

On a class of generalized analytic functions

Le Matematiche, 2012
This paper deals with a new generalization of analytical functions.The p-wave functions are introduced and studied. We consider their theoretical aspect and applications. Some integral representations of x^k y^l -wave functions (k, l − const.
Shyam L. Kalla, Nina Virchenko, Iryna Alexsandrovich   +2 more
doaj  

Spectral Decomposition of Discrepancy Kernels on the Euclidean Ball, the Special Orthogonal Group, and the Grassmannian Manifold. [PDF]

Constr Approx, 2023
Dick J, Ehler M, Gräf M, Krattenthaler C.   +3 more
europepmc   +1 more source

On Some Fractional Integral Operators Involving Generalized Gauss Hypergeometric Functions

, 2010
The object of this paper is to give a generalization of Gauss hypergeometric function, and to investigate its basic properties. Further, we define some fractional integral operators and their inverses in terms of the Mellin transform.
Virchenko, N., Lisetska, O., Kalla, S. L.   +2 more
core  

The quantum-mechanical Coulomb propagator in an L² function representation. [PDF]

Sci Rep, 2021
Gersbacher R, Broad JT.
europepmc   +1 more source

Some Classes of Generating Relations Associated with a Family of the Generalized Gauss Type Hypergeometric Functions

, 2015
In recent years, several interesting families of generating functions for various classes of hypergeometric and generalized hypergeometric functions in one, two and more variables were investigated systematically.
Lin, Shy-Der, M. Srivastava, H.
core  

Some Contiguous Relation on k-Generalised Hypergeometric Function

, 2020
In this research work our aim is to determine some contiguous relations and some integral transform of the k-generalised hypergeometric functions, by using the concept of “k-Gamma and k-Beta function”.
Kumari, Sona, Joshi, Sunil, Mittal, Ekta
core  

Adiabatic Amplification of the Harmonic Oscillator Energy When the Frequency Passes through Zero. [PDF]

Entropy (Basel), 2022
Dodonov VV, Dodonov AV.
europepmc   +1 more source

The Gauss hypergeometric function [PDF]

, 2014
openaire   +1 more source

Transformations of Gauss hypergeometric functions

Transformations of Gauss hypergeometric functions
The paper classifies algebraic transformations of Gauss hypergeometric functions and pull-back transformations between hypergeometric differential equations. This classification recovers the classical transformations of degree 2, 3, 4, 6, and finds other transformations of some special classes of the Gauss hypergeometric function.
openaire