Results 21 to 30 of about 415,258 (279)
The Wave Function of the Universe by the New Euclidean Path-integral Approach in Quantum Cosmology [PDF]
, 1992 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
On Kapteyn-Kummer Series' Integral Form [PDF]
, 2016 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
A Note on Some Definite Integrals of Arthur Erdélyi and George Watson
Mathematics, 2021 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
A Characterization of almost universal ternary inhomogeneous quadratic polynomials with conductor 2
, 2015 An integral quadratic polynomial (with positive definite quadratic part) is called almost universal if it represents all but finitely many positive integers.
Haensch, Anna
core +1 more source
Serre's Tensor Construction and Moduli of Abelian Schemes [PDF]
, 2017 Given a polarized abelian scheme with action by a ring, and a projective finitely presented module over that ring, Serre's tensor construction produces a new abelian scheme.
Amir-Khosravi, Zavosh
core +3 more sources
Definite Integrals using Orthogonality and Integral Transforms
Symmetry, Integrability and Geometry: Methods and Applications, 2012 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
MEJ (Mathematics Education Journal), 2022 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
On the Henstock-Kurzweil Integral for Riesz-space-valued Functions on Time Scales
, 2017 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
The definite integrals of 2- refined neutrosophic functions and its properties [PDF]
Neutrosophic Sets and SystemsThis 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
Two Definite Integrals Involving Products of Four Legendre Functions
, 2017 The definite integrals $ \int_{-1}^1x[P_\nu(x)]^4\,\mathrm{d} x$ and $ \int_{0}^1x[P_\nu(x)]^2\{[P_\nu(x)]^2-[P_\nu(-x)]^2\}\,\mathrm{d} x$ are evaluated in closed form, where $ P_\nu$ stands for the Legendre function of degree $ \nu\in\mathbb C ...
Zhou, Yajun
core +1 more source