Results 101 to 110 of about 1,005 (113)
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Computational complexity for variants obtained from sums of the same powers
Applied Mathematical Sciences, 2021We consider several types of records for sums of the same powers. First, it is a simple presentation of the power sums, secondly, this is the presentation of sums with binomial coefficients and powers, thirdly, this presentation of sums in the form of ...
A. Nikonov
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On some identities and generating functions for k- Pell numbers
, 2013We obtain the Binet’s formula for k-Pell numbers and as a consequence we get some properties for k-Pell numbers. Also we give the generating function for k-Pell sequences and another expression for the general term of the sequence, using the ordinary ...
P. Catarino
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The flatness of ternary cyclotomic polynomials
, 2020It is well known that all of the prime cyclotomic polynomials and binary cyclotomic polynomials are flat, and the flatness of ternary cyclotomic polynomials is much more complicated.
Bin Zhang
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, 2020
The aim of this paper is to analyze higher-order Peters-type combinatorial numbers and polynomials by means of their generating functions and p-adic integration.
Irem Kucukoglu
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The aim of this paper is to analyze higher-order Peters-type combinatorial numbers and polynomials by means of their generating functions and p-adic integration.
Irem Kucukoglu
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Powers of balancing polynomials and some consequences for Fibonacci sums
International Journal of Mathematical Analysis, 2019In this short article, we derive identities for powers of balancing and Lucas-balancing polynomials. These polynomials are a natural extension of balancing and Lucas-balancing numbers.
R. Frontczak
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Generalized Tribonacci Sequence and its Sum Through Third Order Difference Operator
2024 International Conference on Science, Engineering and Business for Driving Sustainable Development Goals (SEB4SDG)This study presents the generalized third-order difference operator with constant coefficients and inverse, allowing us to construct a sequence similar to the generalized k-Fibonacci sequence.
Rajiniganth P +4 more
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On Some Identities and Generating Functions for k-Pell-Lucas Sequence
, 2013We obtain the Binet’s formula for k-Pell-Lucas numbers and as a consequence we obtain some properties for k-Pell-Lucas numbers. Also we give the generating function for the k-Pell-Lucas sequences and another expression for the general term of the ...
P. Catarino, P. Vasco
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Some basic properties and a two-by-two matrix involving the k-Pell numbers
, 2013In this paper we consider the k-Pell numbers sequence and present some properties involving the k-Pell numbers. The theoretical basis of using generating matrices for deriving the explicit formula for the term of order n of the k-Pell numbers sequence ...
P. Catarino, P. Vasco
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On the recursion formula of polynomials generated by rational functions
International Journal of Mathematical Analysis, 2019Our goal in this work is to found the unified recursion formula of polynomials associated to rational generating functions.
M. Goubi
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Modified k-Pell sequence: some identities and ordinary generating function
, 2013Some identities of the k-Pell-Lucas sequence and their relationship to the Modified k-Pell sequence allow us to obtain some identities for Modified k-Pell numbers.
P. Catarino, P. Vasco
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