Results 1 to 10 of about 4,804,838 (283)
Absolute φ − | C , α , β ; δ | k $\varphi- \vert C, \alpha, \beta; \delta\vert _{k}$ summability of infinite series [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we established a generalized theorem on a minimal set of sufficient conditions for absolute summability factors by applying a sequence of a wider class (quasi-power increasing sequence) and the absolute Cesàro φ − | C , α , β ; δ | k ...
Smita Sonker, Alka Munjal
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A new note on factored infinite series and trigonometric Fourier series
Comptes 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
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Evaluating Infinite Series Involving Harmonic Numbers by Integration
MathematicsEight infinite series involving harmonic-like numbers are coherently and systematically reviewed. They are evaluated in closed form exclusively by integration together with calculus and complex analysis. In particular, a mysterious series W is introduced
Chunli Li, Wenchang Chu
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Infinite series of time-dependent Dyson maps [PDF]
Journal of Physics A: Mathematical and Theoretical, 2021 We propose and explore a scheme that leads to an infinite series of time-dependent Dyson maps which associate different Hermitian Hamiltonians to a uniquely specified time-dependent non-Hermitian Hamiltonian.
A. Fring, Rebecca Tenney
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Infinite series about harmonic numbers inspired by Ramanujan–like formulae
Electronic Research Archive, 2023 By employing the coefficient extraction method from hypergeometric series, we shall establish numerous closed form evaluations for infinite series containing central binomial coefficients and harmonic numbers, including several conjectured ones made by Z.
Chunli Li, W. Chu
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Estimation of the stress-strain state of orthotropic plates on elastic foundation using the bimoment theory [PDF]
E3S Web of Conferences, 2023 The study is devoted to the development of the bimoment theory and the method for calculating thick plates in the framework of the three-dimensional theory of elasticity.
Usarov M.K. +4 more
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Infinite Series Based on Bessel Zeros
Applied Sciences, 2023 An interesting series based on Bessel function roots (zeros) is discussed and numerically analyzed. The novel-derived simplified general solutions are based on Lommel polynomials.
Kamil Urbanowicz
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Evaluation of Infinite Series by Integrals
Mathematics, 2022 We examine a large class of infinite triple series and establish a general summation formula. This is done by expressing the triple series in terms of definite integrals involving arctangent function that are evaluated in turn in closed forms.
Chunli Li, Wenchang Chu
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On a Family of Infinite Series with Reciprocal Catalan Numbers
Axioms, 2022 We study a certain family of infinite series with reciprocal Catalan numbers. We first evaluate two special candidates of the family in closed form, where we also present some Catalan–Fibonacci relations.
Kunle Adegoke +2 more
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Jambura Journal of Mathematics, 2023 The Adomian decomposition method’s effectiveness has been demonstrated in recent research, the process requires several iterations and can be time-consuming.
Kabiru Oyeleye Kareem +5 more
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