Quadratic symmetry of modified q-Euler polynomials

نویسندگان

  • SangKi Choi
  • Taekyun Kim
  • Hyuck-In Kwon
  • Jongkyum Kwon
چکیده

*Correspondence: [email protected] 3Department of Mathematics Education and ERI, Gyeongsang National University, Jinju, Republic of Korea Full list of author information is available at the end of the article Abstract We use the p-adic q-integral and group action to count the number of the generating functions of modified q-Euler polynomials in a prescribed set. Some generating function yields modified q-Euler polynomials with the isotropy group D4 and some gives Euler polynomials with the isotropy group V4. MSC: 11B83; 42A16

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

Identities Involving Two Kinds of q-Euler Polynomials and Numbers

We introduce two kinds of q-Euler polynomials and numbers, and investigate many of their interesting properties. In particular, we establish q-symmetry properties of these q-Euler polynomials, from which we recover the so-called Kaneko-Momiyama identity for the ordinary Euler polynomials, discovered recently by Wu, Sun, and Pan. Indeed, a q-symmetry and q-recurrence formulas among sum of produc...

متن کامل

Some identities of symmetry for the degenerate q-Bernoulli polynomials under symmetry group of degree n

Recently, Kim-Kim Introduced some interesting identities of symmetry for qBernoulli polynomials under symmetry group of degree n. In this paper, we study the degenerate q-Euler polynomials and derive some identities of symmetry for these polynomials arising from the p-adic q-integral on Zp. AMS subject classification: 11B68, 11S80, 05A19, 05A30.

متن کامل

Identities of Symmetry for q-Euler Polynomials

In this paper, we derive eight basic identities of symmetry in three variables related to q-Euler polynomials and the q -analogue of alternating power sums. These and most of their corollaries are new, since there have been results only about identities of symmetry in two variables. These abundance of symmetries shed new light even on the existing identities so as to yield some further interest...

متن کامل

Identities of Symmetry for Generalized Higher - Order q - Euler Polynomials under S 3 Dmitry

This is an open access article distributed under the 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 study the identities of symmetry for the generalized higher-order q-Euler polynomials in three variable under symmetry group S 3 which are derived from the...

متن کامل

Symmetric identities of modified q-Euler polynomials under the symmetric group of degree n

In this paper, we introduce the modified q-Euler polynomials. The main objective of this paper is to consider symmetric identities of the modified q-Euler polynomials under the symmetric group of degree n. AMS subject classification: 11B68, 11S40, 11S80.

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 2018