## 44 Citations

### On the attractor zero of a sequence of polynomials

- Mathematics
- 2020

The main perpose of this paper is to sudy the roots of a familly of polynomials that arise from a linear recurrences associated to Pascal's triangle and their zero attractor, using an analytical…

### Asymptotic behavior and zeros of the Bernoulli polynomials of the second kind

- MathematicsJ. Approx. Theory
- 2021

### Asymptotic behavior and zeros of the Bernoulli polynomials of the second kind

- Mathematics
- 2019

The main aim of this article is a careful investigation of the asymptotic behavior of zeros of Bernoulli polynomials of the second kind. It is shown that the zeros are all real and simple. The…

### Limit Curves for Zeros of Sections of Exponential Integrals

- Mathematics
- 2014

We are interested in studying the asymptotic behavior of the zeros of partial sums of power series for a family of entire functions defined by exponential integrals. The zeros grow on the order of…

### Asymptotic root distribution of Charlier polynomials with large negative parameter

- Mathematics
- 2022

. We analyze the asymptotic distribution of roots of Charlier polynomials with negative parameter depending linearly on the index. The roots cluster on curves in the complex plane. We determine…

### On the universal zero attractor of the Tribonacci-related polynomials

- Mathematics
- 2009

In this paper we solve a conjecture on the zeros of R-Bonacci polynomials in the case when r=3 (Tribonacci polynomials) and determine the zero attractor of the Tribonacci polynomials. Universality of…

### The asymptotic zero distribution of Lommel polynomials as functions of their order with a variable complex argument

- Mathematics
- 2020

### Zeros of Sections of Some Power Series

- Mathematics
- 2012

For a power series which converges in some neighborhood of the origin in the complex plane, it turns out that the zeros of its partial sums---its sections---often behave in a controlled manner,…

## References

SHOWING 1-10 OF 15 REFERENCES

### The Szego curve, zero distribution and weighted approximation

- Mathematics
- 1997

In 1924, Szegő showed that the zeros of the normalized partial sums, sn(nz), of ez tended to what is now called the Szegő curve S, where S := { z ∈ C : |ze1−z| = 1 and |z| ≤ 1 } . Using modern…

### On the Foundations of Combinatorial Theory

- Mathematics
- 2009

One of the most useful principles of enumeration in discrete probability and combinatorial theory is the celebrated principle of·inclusion-exclusion (ef. Feller*, FrEchet, Riordan, Ryser). When…

### Asymptotics and Special Functions

- Education
- 1974

A classic reference, intended for graduate students mathematicians, physicists, and engineers, this book can be used both as the basis for instructional courses and as a reference tool.

### Asymptotic Expansions—I

- Mathematics
- 2006

The interest in asymptotic analysis originated from the necessity of searching for approximations to functions close the point(s) of interest. Suppose we have a function f(x) of single real parameter…

### On arithmetic functions

- Mathematics
- 1943

Eg. π(n) = the number of primes ≤ n d(n) = the number of positive divisors of n σ(n) = the sum of the positive divisors of n σ k (n) = the sum of the kth powers of n ω(n) = the number of distinct…