Results 21 to 30 of about 4,804,838 (283)
Series of Floor and Ceiling Functions—Part II: Infinite Series
Mathematics, 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
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Some Evaluation of Infinite Series Involving Trigonometric and Hyperbolic Functions [PDF]
Results in Mathematics, 2017 In this paper, by using the residue theorem and asymptotic formulas of trigonometric and hyperbolic functions at the poles, we establish many relations involving two or more infinite series of trigonometric and hyperbolic functions.
Ce Xu
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On Faster Convergent Infinite Series
International Journal of Mathematics and Mathematical Sciences, 2008 Suffcient conditions, necessary conditions for faster convergent infinite series, faster 𝜏-convergent infinite series are studied. The faster convergence of infinite series of Kummer's type is proved.
Dušan Holý +2 more
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New BBP-Type Formulae for π Derived from New Forms of Taylor Expansions of Inverse Tangent Function
Mathematics, 2022 In this work, we give two new Taylor expansions of arctan(x + ω), where ω represents a finite increment of x. We discover several remarkable infinite series from these expansions by special substitutions.
Xin Wu, Zhongfan Chen, Yinan Zhu
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On the denseness of certain reciprocal power sums
AIMS Mathematics, 2019 By $(\mathbb{Z}^+)^{\infty}$ we denote the set of all theinfinite sequences $\mathcal{S}=\{s_i\}_{i=1}^{\infty}$ of positiveintegers (note that all the $s_i$ are not necessarily distinct and notnecessarily monotonic).
Xiao Jiang, Shaofang Hong
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Series of $p$-groups with Beauville structure [PDF]
, 2015 For every $p\geq 2$ we show that each finite $p$-group with an unmixed Beauville structure is part of a surjective infinite projective system of finite $p$-groups with compatible unmixed Beauville structures.
Stix, Jakob, Vdovina, Alina
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A new factor theorem for generalized absolute Riesz summability
Karpatsʹkì 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
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A series of coverings of the regular n-gon
, 2011 We define an infinite series of translation coverings of Veech's double-n-gon for odd n greater or equal to 5 which share the same Veech group. Additionally we give an infinite series of translation coverings with constant Veech group of a regular n-gon ...
A. Zemlyakov +13 more
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AppliedMathTwo 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
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Infinite series containing quotients of central binomial coefficients [PDF]
Notes on Number Theory and Discrete MathematicsBy 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
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