Functions and Analysis

1808 Submissions

[12] viXra:1808.0641 [pdf] submitted on 2018-08-29 12:01:02

On Some Ser's Infinite Product

Authors: Edigles Guedes
Comments: 5 Pages.

I derive some Ser's infinite product for exponential function and exponential of the digamma function; as well as an integral representation for the digamma function.
Category: Functions and Analysis

[11] viXra:1808.0602 [pdf] submitted on 2018-08-27 17:02:03

The Riemann Transform

Authors: Armando M. Evangelista Jr.
Comments: 15 Pages.

In his 1859 paper, Bernhard Riemann used an integral equation to develop an explicit formula for estimating the number of prime numbers less than a given quantity. It is the purpose of this present work to explore some of the properties of this integral equation.
Category: Functions and Analysis

[10] viXra:1808.0576 [pdf] submitted on 2018-08-26 10:55:02

A Joint Multifractal Analysis of Finitely Many Non Gibbs-Ahlfors Type Measures

Authors: Adel Farhat, Anouar Ben Mabrouk
Comments: 20 Pages.

In the present paper, new multifractal analysis of vector valued Ahlfors type measures is developed. Mutual multifractal generalizations f fractal measures such as Hausdorff and packing have been introduced with associated dimensions. Essential properties of these measures have been shown using convexity arguments.
Category: Functions and Analysis

[9] viXra:1808.0515 [pdf] submitted on 2018-08-22 14:21:38

Exploring the Barnes G-Function

Authors: Edigles Guedes
Comments: 5 Pages.

I derive an integral representation for the Barnes G-function among other things.
Category: Functions and Analysis

[8] viXra:1808.0514 [pdf] submitted on 2018-08-22 14:23:28

Infinite Products for Gamma Function and Infinite Series for Log Gamma Function

Authors: Edigles Guedes
Comments: 2 Pages.

I derive an infinite product for gamma function and infinite series for log gamma function.
Category: Functions and Analysis

[7] viXra:1808.0233 [pdf] submitted on 2018-08-16 09:49:42

The Exponential Function and its Infinite Product

Authors: Edigles Guedes
Comments: 4 Pages.

I derive some infinite product representations for the exponential function.
Category: Functions and Analysis

[6] viXra:1808.0207 [pdf] submitted on 2018-08-15 11:22:40

More Sine Function at Rational Argument, Product of Gamma Functions and Infinite Product Representations

Authors: Edigles Guedes
Comments: 9 Pages.

I derived an identity involving gamma functions and sine function at rational argument; hence, the representation of infinite product arose.
Category: Functions and Analysis

[5] viXra:1808.0202 [pdf] submitted on 2018-08-15 21:33:00

Tetrahedral Discretizations of the Schrödinger Operator for the Purposes of Quantum Chemistry

Authors: Ruslan Sharipov
Comments: Designed for double sided printing, US Letter size, 35 pages, 5 color figures

Tetrahedral discretizations of the multielectron Schrödinger operator are suggested. They is based on tetrahedral triangulations of domains in R3. Theoretical results proving that these discretizations are able to approximate energy levels of electrons in atoms and molecules are obtained.
Category: Functions and Analysis

[4] viXra:1808.0154 [pdf] submitted on 2018-08-12 21:21:29

On the Properties of the Two-Sided Laplace Transform and the Riemann Hypothesis

Authors: Seong Won Cha
Comments: 22 Pages.

We will show interesting properties of two-sided Laplace transform, mainly of positive even functions. Further, we will also prove that the Laguerre inequalities and generalized Laguerre inequalities are true and finally, the Riemann hypothesis is true.
Category: Functions and Analysis

[3] viXra:1808.0136 [pdf] replaced on 2018-08-27 11:22:36

Cosine Function at Rational Argument and Infinite Product Representation

Authors: Edigles Guedes
Comments: 4 Pages.

I used an identity for cosine function involving finite product of the gamma functions; hence, the representation of infinite product arose.
Category: Functions and Analysis

[2] viXra:1808.0116 [pdf] submitted on 2018-08-10 07:35:26

Sine Function at Rational Argument, Finite Product of Gamma Functions and Infinite Product Representation

Authors: Edigles Guedes
Comments: 6 Pages.

I corrected the Theorem 21 of previous paper, obtaining an identity for sine function at rational argument involving finite sum of the gamma functions; hence, the representation of infinite product arose.
Category: Functions and Analysis

[1] viXra:1808.0053 [pdf] submitted on 2018-08-04 12:22:26

On the Decomposition of the Pochhammer's Symbol

Authors: Edigles Guedes
Comments: 6 Pages.

I derive an identity for the decomposition of the Pochhammer's symbol.
Category: Functions and Analysis