Calculating Zeros of q-Euler Numbers and Polynomials with Weak Weight α

نویسنده

  • C. S. Ryoo
چکیده

Abstract In this paper we observe the behavior of complex roots of q-Euler numbers and polynomials Ẽ n,q (x) with weak weight α, using numerical investigation. By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of q-Euler numbers and polynomials Ẽ n,q (x) with weak weight α. Finally, we give a table for the solutions of q-Euler numbers and polynomials Ẽ n,q (x) with weak weight α.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Note on the Zeros of Twisted q-Euler Polynomials with Weak Weight α

Abstract In this paper we observe the behavior of complex roots of twisted q-Euler numbers and polynomials Ẽ n,q,w(x) with weak weight α, using numerical investigation. By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of twisted q-Euler numbers and polynomials Ẽ n,q,w(x) with weak weight α. Finally, we give a table for the solutions of twiste...

متن کامل

A Note on the q-Euler Numbers and Polynomials with Weak Weight α

We construct a new type of q-Euler numbers and polynomials with weak weight α : E α n,q , E α n,q x , respectively. Some interesting results and relationships are obtained. Also, we observe the behavior of roots of the q-Euler numbers E α n,q and polynomials E α n,q x with weak weight α. By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of q-E...

متن کامل

A NOTE ON THE q-EULER NUMBERS AND POLYNOMIALS WITH WEAK WEIGHT α AND q-BERNSTEIN POLYNOMIALS†

In this paper we construct a new type of q-Bernstein polynomials related to q-Euler numbers and polynomials with weak weight α ; E (α) n,q , E (α) n,q (x) respectively. Some interesting results and relationships are obtained. AMS Mathematics Subject Classification : 11B68, 11S40, 11S80.

متن کامل

On the Generalized Twisted q-Euler Numbers and Polynomials with Weak Weight α

Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this paper we introduce the generalized twisted q-Euler numbers E (α) Keywords: Euler numbers and polynomials, twisted q-Euler numbers and q-Euler polynomials, generalized twisted q-Euler numbers and polynomials, q-Euler ze...

متن کامل

Some Identities on the q-Euler Numbers with Weak Weight α and Bernstein Polynomials

In this paper we investigate some relations between Bernstein polynomials and q-Euler numbers with weak weight α. From these relations, we derive some interesting identities on the q-Euler numbers with weak weight α. Let p be a fixed odd prime number. Throughout this paper, we always make use of the following notations: Z denotes the ring of rational integers, Zp denotes the ring of p-adic rati...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2012