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2012, Rev. ed., ISBN 9780123852182, 675
Zeta and q-Zeta Functions and Associated Series and Integrals is a thoroughly revised, enlarged and updated version of Series Associated with the Zeta and Related Functions... 
Mathematics | Functions, Zeta | Series
eBook
1967, Survey of recent East European mathematical literature., viii, 188
Book
2004, Mathematical Association of America, ISBN 9780521546775, x, 306
This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities.... 
Inequalities (Mathematics)
Book
Applied Mathematics and Computation, ISSN 0096-3003, 01/2013, Volume 219, Issue 9, pp. 4185 - 4193
Based on the basic equations of plane and anti-plane problems and the feature of stress fields, four important properties for complex potentials expressed in power series expansion in the plane... 
Power series expansion | Analytical function | Complex potentials | Basic equations | Symmetry | ELASTICITY | OPENINGS | MATHEMATICS, APPLIED | INFINITE-PLATE | FINITE | FIELD | BOUNDARY
Journal Article
The Ramanujan Journal, ISSN 1382-4090, 6/2019, Volume 49, Issue 2, pp. 371 - 389
... this approach in order to obtain closed-form expressions of more general infinite products which correspond to Dirichlet series... 
Bendersky–Adamchik constants | Primary 40A20 | Secondary 11M06 | Fourier Analysis | Functions of a Complex Variable | Glaisher products | Field Theory and Polynomials | Infinite double products | Mathematics | Number Theory | Combinatorics | Infinite products | MATHEMATICS | Bendersky-Adamchik constants
Journal Article
by D. Choi
Proceedings of the American Mathematical Society, ISSN 0002-9939, 10/2010, Volume 138, Issue 10, pp. 3393 - 3403
Recently, Bruinier, Kohnen and Ono obtained an explicit description of the action of the theta-operator on meromorphic modular forms f on SL₂(Z... 
Integers | Series convergence | Mathematical theorems | Mathematical functions | Polynomials | Recurrence relations | Fourier coefficients | Mathematical cusps | Infinite products | MATHEMATICS | MATHEMATICS, APPLIED | PRODUCTS | divisors of modular forms | VALUES | Poincare series | Borcherds exponents
Journal Article
Integral Transforms and Special Functions, ISSN 1065-2469, 06/2017, Volume 28, Issue 6, pp. 460 - 475
... and in the following, let and be the sets of real numbers and positive integers, respectively, and let . For the odd numbers, i.e. s=2n+1, no closed forms have been proven yet... 
Riemann zeta function | Apéry's and Catalan's constant | summation formula | finite and infinite series | log-tangent integrals | Integers | Approximation | Integrals | Mathematical analysis | Transforms | Images
Journal Article
Mathematical problems in engineering, ISSN 1024-123X, 6/2018, Volume 2018, pp. 1 - 16
Journal Article
by Xu, Ce
Results in Mathematics, ISSN 1422-6383, 12/2018, Volume 73, Issue 4, pp. 1 - 18
... of trigonometric and hyperbolic functions. In particular, we evaluate in closed form certain classes of infinite series containing hyperbolic functions, which are related to Gamma functions and power of $$\pi $$ π... 
hyperbolic function | 11M99 | 11M32 | Infinite series | 33B10 | Riemann zeta function | Mathematics, general | Mathematics | 11M06 | Gamma function | trigonometric function | residue theorem | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Positivity, ISSN 1385-1292, 9/2016, Volume 20, Issue 3, pp. 599 - 605
In this paper, some known results on the absolute Riesz summability factors of infinite series and Fourier series have been proved under weaker conditions... 
Mathematics | Summability factor | Fourier series | Minkowski inequality | Riesz mean | 42A24 | Operator Theory | Fourier Analysis | Potential Theory | Calculus of Variations and Optimal Control; Optimization | Infinite series | 46A45 | 40G99 | Hölder inequality | Econometrics | 40F05 | 26D15 | Sequence space | 40D15 | MATHEMATICS | Holder inequality | Studies | Fourier analysis
Journal Article
by Guha, A
National Academy Science Letters, ISSN 0250-541X, 06/2017, Volume 40, Issue 3, pp. 215 - 216
... its implications. An expansion of the Dirichlet kernel, while using a form of the Dirac delta function has been shown to yield the Taylor series in its form... 
Dirac delta function | Heaviside step function | Taylor series | Dirichlet kernel | Fourier series | MULTIDISCIPLINARY SCIENCES
Journal Article
The Ramanujan Journal, ISSN 1382-4090, 5/2018, Volume 46, Issue 1, pp. 91 - 102
.... This will be done by constructing generalized Dirichlet series of the form $$\sum \nolimits _{n=1}^\infty a_n n^{-s/b}$$ ∑n=1∞ann-s/b where $$b > 0$$ b>0 is an integer... 
Dirichlet L -functions | Fourier Analysis | Eichler integral | 11M99 | Functions of a Complex Variable | Infinite series | Field Theory and Polynomials | Mathematics | Number Theory | Combinatorics | Mellin transform | Dirichlet L-functions | MATHEMATICS | EICHLER INTEGRALS
Journal Article
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2017, Volume 2017, Issue 1, pp. 1 - 8
Journal Article
International Journal of Mathematical Education in Science and Technology, ISSN 0020-739X, 01/2019, Volume 50, Issue 1, pp. 157 - 159
In this note we introduce an infinite series which represents an interesting challenge for students with the relevant background. 
infinite series | inverse tan | Collapsing series | 97I30 | Mathematical Concepts | Mathematics | Mathematical Formulas | Fractions | Problem Solving
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 05/2014, Volume 366, Issue 5, pp. 2803 - 2825
Journal Article
The Ramanujan Journal, ISSN 1382-4090, 2/2017, Volume 42, Issue 2, pp. 479 - 489
The aim of this paper is to study certain multiple series which can be regarded as multiple analogues of Eisenstein series... 
Fourier Analysis | 11M41 | Multiple Eisenstein series | 11M99 | Functions of a Complex Variable | Field Theory and Polynomials | Riemann zeta function | Mathematics | Number Theory | Hyperbolic functions | Combinatorics | Lemniscate constant | MATHEMATICS
Journal Article
Electronic Journal of Combinatorics, ISSN 1077-8926, 03/2015, Volume 22, Issue 1, p. 1.59
We evaluate in closed form series of the type Sigma u(n)R(n), with (u(n))(n), a strongly B-multiplicative sequence and R(n) a (well-chosen) rational function... 
Summation of series | Golay-shapiro-rudin sequence | Strongly B-multiplicative sequences | Paperfolding sequence | COUNTING BLOCKS | MATHEMATICS | MATHEMATICS, APPLIED | strongly B-multiplicative sequences | Golay-Shapiro-Rudin sequence | paperfolding sequence | INFINITE PRODUCTS | DIGITS | summation of series | Mathematics
Journal Article
1975, Prentice-Hall series in automatic computation, ISBN 0138819386, xviii, 523
Book
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