Results 21 to 30 of about 4,468,594 (288)

DIDACTIC VALUE OF MATHEMATICAL CONCEPT

open access: yesНаука Красноярья, 2015
In article the didactic value of exact mathematical concept on the example of concepts of the section «Numerical Ranks» reveals. The definition of concept of a row specified in this article, fixes the real defining signs allowing to identify unambi ...
Elena Evgenevna Alekseeva
doaj   +1 more source

Series of Floor and Ceiling Functions—Part II: Infinite Series

open access: yesMathematics, 2022
In this part of a series of two papers, we extend the theorems discussed in Part I for infinite series. We then use these theorems to develop distinct novel results involving the Hurwitz zeta function, Riemann zeta function, polylogarithms and Fibonacci ...
Dhairya Shah   +4 more
doaj   +1 more source

Evaluation of Harmonic Number Series Involving the Binomial Coefficient C(3n,n) in the Denominator by Integration

open access: yesAppliedMath
Two classes of series involving differences of harmonic numbers and the binomial coefficients C(3n,n) are evaluated in closed form. The classes under consideration are ∑k=0∞H3k+1−Hk(3k+1)3kkkmzkand∑k=0∞H2k−Hk(3k+1)3kkkmzk, where z is a complex number and
Kunle Adegoke, Robert Frontczak
doaj   +1 more source

Bivariate Infinite Series Solution of Kepler’s Equations

open access: yesMathematics, 2021
A class of bivariate infinite series solutions of the elliptic and hyperbolic Kepler equations is described, adding to the handful of 1-D series that have been found throughout the centuries.
Daniele Tommasini
doaj   +1 more source

A new note on factored infinite series and trigonometric Fourier series

open access: yesComptes Rendus. Mathématique, 2021
In this paper, we have proved two main theorems under more weaker conditions dealing with absolute weighted arithmetic mean summability factors of infinite series and trigonometric Fourier series.
Bor, Hüseyin
doaj   +1 more source

A new factor theorem for generalized absolute Riesz summability

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
The aim of this paper is to consider an absolute summability method and generalize a theorem concerning $\left|\bar{N},p_{n}\right|_{k}$ summability of infinite series to ${\varphi-\mid{\bar{N},p_n;\delta}\mid}_k$ summability of infinite series by using ...
A. Karakaş
doaj   +1 more source

Note on a theorem of J. Folkman on transversals of infinite families with finitely many infinite members [PDF]

open access: yes, 1981
In this note we show by a simple direct proof that Folkman's necessary and sufficient condition for an infinite family of sets with finitely many infinite members to have a transversal implies Woodall's condition.
Bry, François
core   +1 more source

Infinite series containing quotients of central binomial coefficients [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
By making use of the Wallis' integral formulae and integration by parts, two classes of infinite series are evaluated, in closed form, in terms of π and Riemann zeta function.
Zhiling Fan
doaj   +1 more source

Special wave finite and infinite elements for the solution of the Helmholtz equation [PDF]

open access: yes, 2003
The theory and the formulation of the special wave finite elements are discussed, and the special integration schemes for the elements are developed.
Sugimoto, Rie
core  

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