scholarly journals SOME PROPERTIES OF DEGENERATED EULER POLYNOMIALS OF THE SECOND KIND USING DEGENERATED ALTERNATIVE POWER SUM

2017 ◽  
Vol 35 (5_6) ◽  
pp. 599-609
Author(s):  
JUNG YOOG KANG
Keyword(s):  
Euler Polynomials ◽  
Power Sum ◽  
Alternative Power

scholarly journals Ordinary and degenerate Euler numbers and polynomials

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Taekyun Kim ◽  
Dae San Kim ◽  
Han Young Kim ◽  
Jongkyum Kwon
Keyword(s):  
Stirling Numbers ◽  
Recursive Formula ◽  
Euler Polynomials ◽  
Euler Numbers ◽  
Integer Power ◽  
Power Sums ◽  
Power Sum ◽  
Euler Numbers And Polynomials

Abstract In this paper, we study some identities on Euler numbers and polynomials, and those on degenerate Euler numbers and polynomials which are derived from the fermionic p-adic integrals on $\mathbb{Z}_{p}$ Z p . Specifically, we obtain a recursive formula for alternating integer power sums and representations of alternating integer power sum polynomials in terms of Euler polynomials and Stirling numbers of the second kind, as well as various properties about Euler numbers and polynomials. In addition, we deduce representations of degenerate alternating integer power sum polynomials in terms of degenerate Euler polynomials and degenerate Stirling numbers of the second kind, as well as certain properties on degenerate Euler numbers and polynomials.

scholarly journals Distribution of alternative power sums and Euler polynomials modulo a prime

2012 ◽  
Vol 23 (1-2) ◽  
pp. 19-25
Author(s):  
Yan Li ◽  
Min-Soo Kim ◽  
Su Hu
Keyword(s):  
Euler Polynomials ◽  
Power Sums ◽  
Alternative Power

scholarly journals ON THE GROWTH OF LINEAR RECURRENCES IN FUNCTION FIELDS

2020 ◽  
pp. 1-10
Author(s):  
CLEMENS FUCHS ◽  
SEBASTIAN HEINTZE
Keyword(s):  
Number Field ◽  
Function Field ◽  
Function Fields ◽  
Linear Recurrence ◽  
Recurrence Sequence ◽  
Linear Recurrences ◽  
Field Case ◽  
Power Sum ◽  
Linear Recurrence Sequence

Abstract Let $ (G_n)_{n=0}^{\infty } $ be a nondegenerate linear recurrence sequence whose power sum representation is given by $ G_n = a_1(n) \alpha _1^n + \cdots + a_t(n) \alpha _t^n $ . We prove a function field analogue of the well-known result in the number field case that, under some nonrestrictive conditions, $ |{G_n}| \geq ( \max _{j=1,\ldots ,t} |{\alpha _j}| )^{n(1-\varepsilon )} $ for $ n $ large enough.

scholarly journals Quadratic symmetry of modified q-Euler polynomials

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
SangKi Choi ◽  
Taekyun Kim ◽  
Hyuck-In Kwon ◽  
Jongkyum Kwon
Keyword(s):  
Euler Polynomials
Sign in / Sign up

Export Citation Format

Share Document