© 2018 The Fibonacci Association. All rights reserved. In this paper, we give closed forms for 12 two-parameter families of finite sums. In each of the aforementioned 12 families of finite sums, the denominator of the summand consists of a product of the sine or cosine functions, and the length of this product can be made as large as we please
AbstractTrigonometric sums over the angles equally distributed on the upper half plane are investiga...
The identities of Choi, Lee, and Srivastava imply a formula proposed by Wilf. We show that these ide...
In this paper, we present closed forms for certain finite sums of weighted products of generalized F...
© 2018 Fibonacci Association. All rights reserved. In this paper, we define 12 families of finite su...
© 2018 The Fibonacci Association. All rights reserved. In this paper, we present closed forms for 10...
© 2018 Fibonacci Association. All rights reserved. In this paper, we present closed forms for six fa...
© 2018 The Fibonacci Association. All rights reserved. In this paper, we give closed formulas for a ...
© 2014 Walter de Gruyter GmbH, Berlin/Boston. In this paper we find closed forms for certain finite ...
We prove that the reciprocal sum $S_k(x)$ of the least common multiple of $k\geq 3$ positive integer...
© 2018 Fibonacci Association. All rights reserved. The finite sum n 2−iFi−1 = 1 −Fn+2 2n , i=1 occur...
In this paper, we present closed forms for certain finite sums in which the summand is a product of ...
Five binomial sums are extended by a free parameter $m$, that are shown, through the generating func...
26 pagesInternational audienceWe provide a systematic method to compute arithmetic sums including so...
We consider some finite binomial sums involving the derivatives of the binomial coefficient and deve...
© 2014, University of Waterloo. All rights reserved. In this paper we find closed forms, in terms of...
AbstractTrigonometric sums over the angles equally distributed on the upper half plane are investiga...
The identities of Choi, Lee, and Srivastava imply a formula proposed by Wilf. We show that these ide...
In this paper, we present closed forms for certain finite sums of weighted products of generalized F...
© 2018 Fibonacci Association. All rights reserved. In this paper, we define 12 families of finite su...
© 2018 The Fibonacci Association. All rights reserved. In this paper, we present closed forms for 10...
© 2018 Fibonacci Association. All rights reserved. In this paper, we present closed forms for six fa...
© 2018 The Fibonacci Association. All rights reserved. In this paper, we give closed formulas for a ...
© 2014 Walter de Gruyter GmbH, Berlin/Boston. In this paper we find closed forms for certain finite ...
We prove that the reciprocal sum $S_k(x)$ of the least common multiple of $k\geq 3$ positive integer...
© 2018 Fibonacci Association. All rights reserved. The finite sum n 2−iFi−1 = 1 −Fn+2 2n , i=1 occur...
In this paper, we present closed forms for certain finite sums in which the summand is a product of ...
Five binomial sums are extended by a free parameter $m$, that are shown, through the generating func...
26 pagesInternational audienceWe provide a systematic method to compute arithmetic sums including so...
We consider some finite binomial sums involving the derivatives of the binomial coefficient and deve...
© 2014, University of Waterloo. All rights reserved. In this paper we find closed forms, in terms of...
AbstractTrigonometric sums over the angles equally distributed on the upper half plane are investiga...
The identities of Choi, Lee, and Srivastava imply a formula proposed by Wilf. We show that these ide...
In this paper, we present closed forms for certain finite sums of weighted products of generalized F...