Zobrazeno 1 - 10
of 486
pro vyhledávání: '"Integration using Euler's formula"'
Autor:
D.M. Fradkin
Publikováno v:
J Res Natl Bur Stand (1977)
The five parameter double integral [Formula: see text] times [Formula: see text] is evaluated in terms of Fourier transforms of exp(− x(2))erfc(αx). Some new expressions for these transforms are obtained.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e609fe879308855603a2226a927f5e4
https://pubmed.ncbi.nlm.nih.gov/34880522
https://pubmed.ncbi.nlm.nih.gov/34880522
Publikováno v:
The Ramanujan Journal. 49:1-37
We develop analogs of exponential and trigonometric functions (including the basic exponential function) and derive their fundamental properties: addition formula, positivity, reciprocal and fundamental relations of trigonometry. We also establish a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b36514b99c6f37a3fc24c6a637a3f78
https://doi.org/10.1007/s11139-018-0107-7
https://doi.org/10.1007/s11139-018-0107-7
Publikováno v:
International Journal of Applied and Computational Mathematics. 3:115-128
The generalized trigonometric functions (GTF) have been introduced using an appropriate redefinition of Euler type identities involving non-standard forms of imaginary numbers, realized by different types of matrices. In this paper we use the GTF to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b15bbd7f0af1fe4539404ba33660f9f0
https://doi.org/10.1007/s40819-017-0427-0
https://doi.org/10.1007/s40819-017-0427-0
Publikováno v:
Engineering Computations. 34:1257-1276
Purpose The main purpose of this work is the development of a numerical algorithm based on modified cubic trigonometric B-spline functions for computational modelling of hyperbolic-type wave equations. These types of equations describe a variety of p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d4a45179674cfaa024d6d3dcc7cd8129
https://doi.org/10.1108/ec-05-2016-0179
https://doi.org/10.1108/ec-05-2016-0179
Autor:
V. E. Petrov
Publikováno v:
Journal of Mathematical Sciences. 224:135-149
Some generalizations of the Fourier and Hartley transforms on ℝ and ℝ n are studied. These transforms involve functional coefficients. The Parseval identities, convolution formulas, conditions of self-adjointness and unitary property for new tran
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e0d6a56ab82a0b3fc37188a24a5cdd1f
https://doi.org/10.1007/s10958-017-3400-x
https://doi.org/10.1007/s10958-017-3400-x
Publikováno v:
Far East Journal of Mathematical Sciences (FJMS). 101:1967-1975
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::00e30513dafc47f09beadf5a2bf791ff
https://doi.org/10.17654/ms101091967
https://doi.org/10.17654/ms101091967
Autor:
Włodzimierz Fechner, Żywilla Fechner
Publikováno v:
Journal of Mathematical Analysis and Applications. 449:1160-1171
We deal with the following functional equation: f ( x y ) + λ f ( x ) f ( y ) = ϕ ( x , y ) , where λ is a complex number and f and ϕ are complex mappings defined on a semigroup. Moreover, we assume an addition formula of trigonometric type for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0980808a704a31cea30cf078c1c523e5
https://doi.org/10.1016/j.jmaa.2016.12.060
https://doi.org/10.1016/j.jmaa.2016.12.060
Publikováno v:
Journal of Computational and Applied Mathematics. 312:74-81
The Sumudu transform integral equation is solved by continuous integration by parts, to obtain its definition for trigonometric functions. The transform variable, u , is included as a factor in the argument of f ( t ) , and summing the integrated coe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce362908918a1a1461625145b316edc5
https://doi.org/10.1016/j.cam.2015.12.036
https://doi.org/10.1016/j.cam.2015.12.036
Autor:
Gaston Brouwer
Publikováno v:
Mathematics Magazine. 90:12-18
SummaryThe angle doubling formula sin 2θ = 2 sin θ cos θ for the sine function is well known. By replacing the cosine in this formula with sin (π/2 - θ), we see that sin 2θ can be written as the product of two sine functions where the second si
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::686e628e4b8fb37be3e83acf3f9e3f7d
https://doi.org/10.4169/math.mag.90.1.12
https://doi.org/10.4169/math.mag.90.1.12
Publikováno v:
Indian Journal of Science and Technology. 10:1-6
Objectives: The article presents the study of the quadrature formula for the integral with Hilbert’s kernel. Methods: The sub integral function is close to interpolation polynomial on such equally spaced nodes that the values of the Weyl fractional
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d862e41341482dd02df714b7cb39f700
https://doi.org/10.17485/ijst/2016/v10i1/109929
https://doi.org/10.17485/ijst/2016/v10i1/109929