Turán’s Inequalities from the Power Sum Theory

1993 ◽  
pp. 651-659
Author(s):  
D. S. Mitrinović ◽  
J. E. Pečarić ◽  
A. M. Fink
Keyword(s):  
Power Sum

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.

Low power sum of absolute differences architecture using novel hybrid adder

2017 ◽  
Author(s):  
Rafael Ferreira ◽  
Bianca Silveira ◽  
Mateus Beck Fonseca ◽  
Claudio M. Diniz ◽  
Eduardo A. C. da Costa
Keyword(s):  
Low Power ◽  
Power Sum

scholarly journals Generalized Power Sum and Newton-Girard Identities

2020 ◽  
Vol 36 (6) ◽  
pp. 1957-1964
Author(s):  
Sudip Bera ◽  
Sajal Kumar Mukherjee
Keyword(s):  
Power Sum

scholarly journals Some Identities of Ordinary and Degenerate Bernoulli Numbers and Polynomials

Symmetry ◽  
2019 ◽  
Vol 11 (7) ◽  
pp. 847 ◽  
Author(s):  
Dmitry V. Dolgy ◽  
Dae San Kim ◽  
Jongkyum Kwon ◽  
Taekyun Kim
Keyword(s):  
Random Variables ◽  
Infinite Family ◽  
Bernoulli Polynomials ◽  
Bernoulli Numbers ◽  
Higher Order ◽  
Integer Power ◽  
Bernoulli Numbers And Polynomials ◽  
Power Sums ◽  
Power Sum ◽  
Invariant Integrals

In this paper, we investigate some identities on Bernoulli numbers and polynomials and those on degenerate Bernoulli numbers and polynomials arising from certain p-adic invariant integrals on Z p . In particular, we derive various expressions for the polynomials associated with integer power sums, called integer power sum polynomials and also for their degenerate versions. Further, we compute the expectations of an infinite family of random variables which involve the degenerate Stirling polynomials of the second and some value of higher-order Bernoulli polynomials.

Power Sum Identities for Arbitrary Symmetric Arrays

1969 ◽  
Vol 17 (2) ◽  
pp. 307-316 ◽  
Author(s):  
H. W. Gould
Keyword(s):  
Power Sum
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