Results 21 to 30 of about 6,695 (326)

Some Results on the Extended Hypergeometric Matrix Functions and Related Functions

open access: yesJournal of Mathematics, 2021
In this article, we discuss certain properties for generalized gamma and Euler’s beta matrix functions and the generalized hypergeometric matrix functions.
Mohamed Abdalla   +2 more
doaj   +1 more source

Mathematics and Poetry • Unification, Unity, Union

open access: yesSci, 2020
We consider a multitude of topics in mathematics where unification constructions play an important role: the Yang–Baxter equation and its modified version, Euler’s formula for dual numbers, means and their inequalities, topics in differential geometry ...
Florin Felix Nichita
doaj   +1 more source

De Moivre’s and Euler Formulas for Matrices of Hybrid Numbers

open access: yesAxioms, 2021
It is known that the hybrid numbers are generalizations of complex, hyperbolic and dual numbers. Recently, they have attracted the attention of many scientists.
Mücahit Akbıyık   +3 more
doaj   +1 more source

Integral inequalities via harmonically h-convexity

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
In this paper, we establish some estimates of the left side of the generalized Gauss-Jacobi quadrature formula for harmonic h-preinvex functions involving Euler’s beta and hypergeometric functions.
Merad Meriem   +2 more
doaj   +1 more source

The Desymmetrized PSL(2, Z) Group; Its ‘Square-Box’ One-Cusp Congruence Subgroups

open access: yesComputer Sciences & Mathematics Forum, 2023
In this paper, the desymmetrized PSL(2, Z) group is studied. The Fourier coefficients of the non-holomorphic one-cusp Eisenstein series expansion are summed, and as a further result, a new dependence on the Euler’s γ constant is found.
Orchidea Maria Lecian
doaj   +1 more source

General Euler-Boole's and dual Euler-Boole's formulae [PDF]

open access: yesMathematical Inequalities & Applications, 2005
The aim of this talk is to give general Euler-Boole's and dual Euler-Boole's formulae. More precisely, we derive formulae of Boole type where the integral is approximated not only with the values of the function in certain points but also with values of its derivatives up to (2n-1)-th order in end points of the interval. Our method produces formulae of
Iva Franjić   +2 more
openaire   +5 more sources

An Euler-MacLaurin formula for polygonal sums [PDF]

open access: yesTransactions of the American Mathematical Society, 2021
We prove an Euler-Maclaurin formula for double polygonal sums and, as a corollary, we obtain approximate quadrature formulas for integrals of smooth functions over polygons with integer vertices. Our Euler-Maclaurin formula is in the spirit of Pick's theorem on the number of integer points in an integer polygon and involves weighted Riemann sums, using
Brandolini, L   +3 more
openaire   +5 more sources

Coccolith arrangement follows Eulerian mathematics in the coccolithophore Emiliania huxleyi [PDF]

open access: yesPeerJ, 2018
Background The globally abundant coccolithophore, Emiliania huxleyi, plays an important ecological role in oceanic carbon biogeochemistry by forming a cellular covering of plate-like CaCO3 crystals (coccoliths) and fixing CO2. It is unknown how the cells
Kai Xu, David Hutchins, Kunshan Gao
doaj   +2 more sources

On the degrees of freedom of lattice electrodynamics [PDF]

open access: yes, 2005
Using Euler's formula for a network of polygons for 2D case (or polyhedra for 3D case), we show that the number of dynamic\textit{\}degrees of freedom of the electric field equals the number of dynamic degrees of freedom of the magnetic field for ...
Adams   +22 more
core   +1 more source

On a generalization of Euler's constant [PDF]

open access: yesSurveys in Mathematics and its Applications, 2021
A one parameter generalization of Euler's constant γ from [Numer. Algorithms 46(2) (2007) 141--151] is investigated, and additional expressions for γ are derived.
Stephen Kaczkowski
doaj  

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