Limits, series, and fractional part integrals

O Furdui - Problems in Mathematical Analysis Springer, New York, 2013 - Springer
This book is the fruit of my work in the last decade teaching, researching, and solving
problems. This volume offers an unusual collection of problems specializing in three topics …

[HTML][HTML] Euler sums and Stirling sums

W Wang, Y Lyu - Journal of Number Theory, 2018 - Elsevier
In this paper, using the Bell polynomials and the methods of generating function and
integration, we establish various mixed Euler sums and Stirling sums, and present a unified …

[HTML][HTML] Four parametric linear Euler sums

H Alzer, J Choi - Journal of Mathematical Analysis and Applications, 2020 - Elsevier
In this paper, firstly, we aim to investigate analytic continuations of altogether four types of
parametric linear Euler sums, by using the Euler-Maclaurin summation formula and the …

[HTML][HTML] Explicit formulas of Euler sums via multiple zeta values

C Xu, W Wang - Journal of Symbolic Computation, 2020 - Elsevier
Flajolet and Salvy pointed out that every Euler sum is a Q-linear combination of multiple zeta
values. However, in the literature, there is no formula completely revealing this relation. In …

Extension of the four Euler sums being linear with parameters and series involving the zeta functions

A Sofo, J Choi - Journal of Mathematical Analysis and Applications, 2022 - Elsevier
Abstract Recently Alzer and Choi proposed and studied a set of the four Euler sums being
linear with parameters. These sums are parametric extensions of Flajolet and Salvy's four …

[HTML][HTML] Generating Functions for Binomial Series Involving Harmonic-like Numbers

C Li, W Chu - Mathematics, 2024 - mdpi.com
By employing the coefficient extraction method, a class of binomial series involving
harmonic numbers will be reviewed through three hypergeometric F 1 2 (y 2)-series …

[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 …

[PDF][PDF] Explicit evaluation of some quadratic Euler-type sums containing double-index harmonic numbers

SM Stewart - Tatra Mt. Math. Publ, 2020 - intapi.sciendo.com
In this paper, we find a number of explicit expressions for quadratic Euler--type sums
containing double-index harmonic numbers. These are obtained using (ordinary) generating …

[PDF][PDF] Reviving the quadratic series of Au-Yeung

CI Valean, O Furdui - J. Class. Anal, 2015 - files.ele-math.com
Reviving the quadratic series of Au-Yeung Page 1 Journal of Classical Analysis Volume 6,
Number 2 (2015), 113–118 doi:10.7153/jca-06-09 REVIVING THE QUADRATIC SERIES OF …

Applications of Euler Sums and Series Involving the Zeta Functions

J Choi, A Sofo - Symmetry, 2023 - mdpi.com
A very recent article delved into and expanded the four parametric linear Euler sums,
revealing that two well-established subjects—Euler sums and series involving the zeta …