Results 21 to 30 of about 394,491 (124)
While browsing through the famous book of Bierens de Haan, we came across a table with some very interesting integrals. These integrals also appeared in the book of Gradshteyn and Ryzhik.
Robert Reynolds, Allan Stauffer
doaj +1 more source
On Kapteyn-Kummer Series' Integral Form [PDF]
In this short research note we obtain double definite integral expressions for the Kapteyn type series built by Kummer's $M$ (or confluent hypergeometric ${}_1F_1$) functions.
Baricz, Árpád +2 more
core +2 more sources
The Wave Function of the Universe by the New Euclidean Path-integral Approach in Quantum Cosmology [PDF]
The wave function of the universe is evaluated by using the Euclidean path integral approach. As is well known, the real Euclidean path integral diverges because the Einstein-Hilbert action is not positive definite.
Ishikawa, Atushi, Ueda, Haruhiko
core +3 more sources
A Note on Some Definite Integrals of Arthur Erdélyi and George Watson
This manuscript concerns two definite integrals that could be connected to the Bose-Einstein and the Fermi-Dirac functions in the integrands, separately, with numerators slightly modified with a difference in two expressions that contain the Fourier ...
Robert Reynolds, Allan Stauffer
doaj +1 more source
On interacting fermions and bosons with definite total momentum [PDF]
Any {\it exact} eigenstate with a definite momentum of a many-body Hamiltonian can be written as an integral over a {\it symmetry-broken} function $\Phi$.
A. L. Fetter +4 more
core +2 more sources
The aim of this paper is to present the statistical model simmulation about the definite integral concept based on upersum and lowersum random partitions by using geogebra.
Widiya Astuti Alam Sur
doaj +1 more source
Definite Integrals using Orthogonality and Integral Transforms
We obtain definite integrals for products of associated Legendre functions with Bessel functions, associated Legendre functions, and Chebyshev polynomials of the first kind using orthogonality and integral transforms.
Howard S. Cohl, Hans Volkmer
doaj +1 more source
The definite integrals of 2- refined neutrosophic functions and its properties [PDF]
This article aims to study the definite integrals of 2- refined neutrosophic functions and its properties. The definite integrals of 2- refined neutrosophic functions are defined in this study, and a set of theories are presented, including the ...
Yaser Ahmad Alhasan +2 more
doaj +1 more source
On the Henstock-Kurzweil Integral for Riesz-space-valued Functions on Time Scales
We introduce and investigate the Henstock-Kurzweil (HK) integral for Riesz-space-valued functions on time scales. Some basic properties of the HK delta integral for Riesz-space-valued functions are proved.
Brown, André EX +11 more
core +8 more sources
Algorithms for integrals of holonomic functions over domains defined by polynomial inequalities
We present an algorithm for computing a holonomic system for a definite integral of a holonomic function over a domain defined by polynomial inequalities.
Almkvist +25 more
core +1 more source

