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## Displaying 1 – 20 of 51

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### A computer proof of Turán's inequality.

JIPAM. Journal of Inequalities in Pure &amp; Applied Mathematics [electronic only]

### A proof of a conjecture of Knuth.

Experimental Mathematics

### About a new kind of Ramanujan-type series.

Experimental Mathematics

### Accelerated series for universal constants, by the WZ method.

Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]

### Algorithms for Evaluation of the Wright Function for the Real Arguments’ Values

Fractional Calculus and Applied Analysis

2000 Math. Subject Classification: 33E12, 65D20, 33F05, 30E15The paper deals with analysis of several techniques and methods for the numerical evaluation of the Wright function. Even if the focus is mainly on the real arguments’ values, the methods introduced here can be used in the complex plane, too. The approaches presented in the paper include integral representations of the Wright function, its asymptotic expansions and summation of series. Because the Wright function depends on two parameters ...

### An accurate approximation of zeta-generalized-Euler-constant functions

Open Mathematics

Zeta-generalized-Euler-constant functions, $\gamma \left(s\right):=\sum _{k=1}^{\infty }\left(\frac{1}{{k}^{s}}-{\int }_{k}^{k+1}\frac{dx}{{x}^{s}}\right)$ and $\stackrel{˜}{\gamma }\left(s\right):=\sum _{k=1}^{\infty }{\left(-1\right)}^{k+1}\left(\frac{1}{{k}^{s}}-{\int }_{k}^{k+1}\frac{dx}{{x}^{s}}\right)$ defined on the closed interval [0, ∞), where γ(1) is the Euler-Mascheroni constant and $\stackrel{˜}{\gamma }$ (1) = ln $\frac{4}{\pi }$ , are studied and estimated with high accuracy.

### An Apéry-like difference equation for Catalan's constant.

The Electronic Journal of Combinatorics [electronic only]

### Analytic and combinatoric aspects of Hurwitz polyzêtas

Journal de Théorie des Nombres de Bordeaux

In this work, a symbolic encoding of generalized Di-richlet generating series is found thanks to combinatorial techniques of noncommutative rational power series. This enables to explicit periodic generalized Dirichlet generating series – particularly the coloured polyzêtas – as linear combinations of Hurwitz polyzêtas. Moreover, the noncommutative version of the convolution theorem gives easily rise to an integral representation of Hurwitz polyzêtas. This representation enables us to build the...

### Apéry's double sum is plain sailing indeed.

The Electronic Journal of Combinatorics [electronic only]

Aktuárské vědy

### Approximating poles of complex rational functions.

Acta Universitatis Sapientiae. Mathematica

### Approximating real Pochhammer products: a comparison with powers

Open Mathematics

Accurate estimates of real Pochhammer products, lower (falling) and upper (rising), are presented. Double inequalities comparing the Pochhammer products with powers are given. Several examples showing how to use the established approximations are stated.

### Approximation of hypergeometric functions with matricial argument through their development in series of zonal polynomials.

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

### Computer-free evaluation of an infinite double sum via Euler sums.

Séminaire Lotharingien de Combinatoire [electronic only]

### Decomposition principle for the reciprocal of the factorial.

Applied Mathematics E-Notes [electronic only]

### Enumeration of integral tetrahedra.

Journal of Integer Sequences [electronic only]

### Errata to: “Decomposition principle for the reciprocal of the factorial”.

Applied Mathematics E-Notes [electronic only]

### Estimating powers with base close to unity and large exponents.

Divulgaciones Matemáticas

### Estimating the sequence of real binomial coefficients.

JIPAM. Journal of Inequalities in Pure &amp; Applied Mathematics [electronic only]

### Euler polynomials and the related quadrature rule.

Georgian Mathematical Journal

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