Gauss hypergeometric function - Open Access .click

Results 101 to 110 of about 5,448,308 (166)

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

Error analysis of Gauss quadrature approximation to hypergeometric functions

Exploiting the contour integral representation of the remainder term in Gaussian quadrature, in this work we derive explicit error approximations for the computation of the confluent and the Gauss hypergeometric functions by means of the Gauss-Jacobi ...
Eleonora Denich, Paolo Novati
core +1 more source

Product formulas for basic hypergeometric series by evaluations of Askey-Wilson polynomials. [PDF]

Ramanujan J
Cohl HS, Schlosser MJ.
europepmc +1 more source

Transformations and Summations for Bilateral Basic Hypergeometric Series. [PDF]

Arab J Math
Cohl HS, Schlosser MJ.
europepmc +1 more source

Energy eigenvalues and finite-temperature magnetization for the improved Scarf II potential in the presence of external magnetic and Aharonov-Bohm flux fields. [PDF]