[图书][B] Sharpening mathematical analysis skills
A Sîntămărian, O Furdui - 2021 - Springer
Alina Sîntămărian Ovidiu Furdui Page 1 Problem Books in Mathematics Alina Sîntămărian
Ovidiu Furdui Sharpening Mathematical Analysis Skills Page 2 Problem Books in …
Ovidiu Furdui Sharpening Mathematical Analysis Skills Page 2 Problem Books in …
Sums of products of Riemann zeta tails
ME Hoffman - Mediterranean Journal of Mathematics, 2016 - Springer
A recent paper of Furdui and Vălean proves some results about sums of products of “tails” of
the series for the Riemann zeta function. We show how such results can be proved with …
the series for the Riemann zeta function. We show how such results can be proved with …
[PDF][PDF] The evaluation of a quadratic and a cubic series with trigamma function
O Furdui - Applied Mathematics E-Notes, 2015 - emis.muni.cz
Ak (bk− bk+ 1),(1) provided the infinite series on the right hand side of (1) converges and the
limit is finite. A special function which is used in the proof of part (a) of Theorem 1 is the …
limit is finite. A special function which is used in the proof of part (a) of Theorem 1 is the …
Challenges, Gems, and Mathematical Beauties
A Sîntămărian, O Furdui, A Sîntămărian… - Sharpening Mathematical …, 2021 - Springer
The limit equals 2. Let xn= 2 n sin 1+ 2 n sin 2+⋯+ 2 n sin nn x_ n=\sqrt n 2^ n\,\sin 1+ 2^
n\,\sin 2+ ⋯+ 2^ n\,\sin n. Since 2 n sin i≤ 2 n 2^ n\,\sin i ≦ 2^ n, we get that xn≤ 2 nn x_ n …
n\,\sin 2+ ⋯+ 2^ n\,\sin n. Since 2 n sin i≤ 2 n 2^ n\,\sin i ≦ 2^ n, we get that xn≤ 2 nn x_ n …
Explicit evaluations of sums of sequence tails
C Xu, X Zhou - Analysis Mathematica, 2017 - Springer
In this paper, we use Abel's summation formula to evaluate several quadratic and cubic
sums of the form F_N (A, B; x):= ∑ n= 1^ N (A-A_n)(B-B_n) x^ n, x ∈-1, 1 FN (A, B; x):=∑ n …
sums of the form F_N (A, B; x):= ∑ n= 1^ N (A-A_n)(B-B_n) x^ n, x ∈-1, 1 FN (A, B; x):=∑ n …