This paper offers a brief insight into the basic theory of convergence of the infinite products of real or complex sequences. Then it focuses mainly on the possibilities of developing some selected functions into the form of infinite product and on the corollaries and utilizations of being familiar with these. Purpose of the paper is not to prove the existence of infinite products for functions with certain characteristics in general, but rather to derive specific formulas and prove their validity. The attention is paid to those elementary functions which are derived from the exponential function, especially the sinus function, the nonelementary functions mentioned are the gamma and the zeta function. The text should be understandable even ...
AbstractWe characterize the functions which are infinite products of quasi-continuous functions. We ...
Here we show some of the infinite product expansions that we can find in Leonhard Euler's book entit...
AbstractA theory is developed for infinite products in a noncommutative Banach algebra. Sufficient c...
This paper offers a brief insight into the basic theory of convergence of the infinite products of r...
The main topic of my diploma thesis is the study of infinite product and the Wallis formula, which i...
In this paper, some convergence criteria concerning the conditional convergence of infinite products...
Abstract. Convergent infinite products, indexed by all natural numbers, in which each factor is a ra...
International audienceUsing some basic properties of the gamma function, we evaluate a simple class ...
Convergent infinite products, indexed by all natural numbers, in which each factor is a rational fun...
The purpose of this paper is to present in one place the several theorems concerning the convergence...
Copyright © 2015 J.-C. Cortés et al. This is an open access article distributed under the Creative C...
Abstract. The function sin x is very important in mathematics and has many applications. In addition...
Is it possible to give a reasonable value to the infinite product 1 × 2 × 3 × · · · × n × · · · ? In...
Intended for advanced undergraduates and graduate students, this concise text focuses on the converg...
We derive a closed-form expression for the infinite sum of the Hurwitz–Lerch zeta function using con...
AbstractWe characterize the functions which are infinite products of quasi-continuous functions. We ...
Here we show some of the infinite product expansions that we can find in Leonhard Euler's book entit...
AbstractA theory is developed for infinite products in a noncommutative Banach algebra. Sufficient c...
This paper offers a brief insight into the basic theory of convergence of the infinite products of r...
The main topic of my diploma thesis is the study of infinite product and the Wallis formula, which i...
In this paper, some convergence criteria concerning the conditional convergence of infinite products...
Abstract. Convergent infinite products, indexed by all natural numbers, in which each factor is a ra...
International audienceUsing some basic properties of the gamma function, we evaluate a simple class ...
Convergent infinite products, indexed by all natural numbers, in which each factor is a rational fun...
The purpose of this paper is to present in one place the several theorems concerning the convergence...
Copyright © 2015 J.-C. Cortés et al. This is an open access article distributed under the Creative C...
Abstract. The function sin x is very important in mathematics and has many applications. In addition...
Is it possible to give a reasonable value to the infinite product 1 × 2 × 3 × · · · × n × · · · ? In...
Intended for advanced undergraduates and graduate students, this concise text focuses on the converg...
We derive a closed-form expression for the infinite sum of the Hurwitz–Lerch zeta function using con...
AbstractWe characterize the functions which are infinite products of quasi-continuous functions. We ...
Here we show some of the infinite product expansions that we can find in Leonhard Euler's book entit...
AbstractA theory is developed for infinite products in a noncommutative Banach algebra. Sufficient c...