Results 11 to 20 of about 4,804,838 (283)
Infinite Series Representation of Functions in Fractional Calculus [PDF]
This paper focuses on the equivalent expression of fractional integrals/derivatives with an infinite series. A universal framework for fractional Taylor series is developed by expanding an analytic function at the initial instant or the current time. The
Yiheng Wei +3 more
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Infinite series containing generalized harmonic functions
: We use Abel’s summation formula and the method of partial fraction decomposition to study infinite series involving generalized harmonic numbers of any positive integral order, with any positive integral power.
Kwang-Wu Chen, Yi‐Hsuan Chen
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Application of quasi-f -power increasing sequence in absolute ph - |C, a, b; d; l| of infinite series [PDF]
An increasing quasi-f-power sequence of a wider class has been used to establish a universal theorem on a least set of conditions, which is sufficient for an infinite series to be generalized ph-|C, a, b; d; l| k summable.
Sonker Smita +2 more
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The cognitive theory views individuals as active information processors, so that individuals were able to represent each information according to the level of knowledge they have.
W. Widada +4 more
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A Study on Generalized Absolute Matrix Summability
In the present paper, generalized absolute matrix summability method of infinite series has been studied. A known theorem on IMI ,summability method has been generalized using the summability method of infinite series.
Ahmet Karakaş
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Notes regarding classical Fourier series
A survey of some classical results from the theory of trigonomtrical series is presented, especially the case of Fourier series. Some new proofs are presented, and Riemann's theory of trigonometrical series is is given special attention.
Paul Bracken
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Nonholonomic frames for Finsler space with deformed infinite series of (α,β) metric [PDF]
The purpose of present paper to determine the Finsler spaces due to deformation of special Finsler (α, β) -metric. Consequently, we obtained the non-holonomic frame with the help of α2=aij(x)yiyj, one form metric β=bi(x)yi and infinite series of (α, β ...
Brijesh Kumar Tripathi, V. K. Chaubey
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Cesàro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences
This paper generalises a well-known theorem on ${\mid{C},\rho\mid}_\kappa$ summability to the $\varphi-{\mid{C},\rho;\beta\mid}_\kappa$ summability of an infinite series using an almost increasing and a $\delta$-quasi monotone sequence.
Bağdagül Kartal
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p-Adic Invariant Summation of Some p-Adic Functional Series [PDF]
We consider summation of some finite and infinite functional p-adic series with factorials. In particular, we are interested in the infinite series which are convergent for all primes p, and have the same integer value for an integer argument.
Dragovich, Branko, Misic, Natasa Z.
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Expansion of multiple series in infinite diagonals
In this paper a method of summation of double absolutely convergent numerical series was obtained. This method was named the expansion of double numerical series in infinite diagonals.
Anton A Korneev, Olga A Doroshkevich
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