This paper deals with the classical quest for "closed form" expressions of binomial sums and series. We shall consider a generalised Binomial sum and some relations and investigate several methods for its representation in closed form. In the process of our analysis we shall "discover" several new identities and the closed form representation of a related series depending on a parameter.<br /
We establish integral identities for series involving binomial coefficients. Using the identities, i...
We establish integral identities for series involving binomial coefficients. Using the identities, i...
Some identities of sums associated with harmonic numbers and binomial coefficients are developed. In...
This paper deals with the classical quest for 'closed\ud form' expressions of series. Identities are...
This paper deals with the classical quest for closed form expressionsof binomial sums and series. W...
We develop a master theorem from which we are able to represent\ud infinite sums of harmonic numbers...
We develop a master theorem from which we are able to represent infinite sums of harmonic numbers a...
We consider sums involving the product binomial coefficient and\ud polynomial terms and develop some...
We establish integral identities for sums involving binomial coefficients and Harmonic numbers. Usi...
We consider some finite binomial sums involving the derivatives of the binomial coefficient and dev...
We use integral identities to establish some closed forms of finite\ud binomial sums. In particular ...
We extend some results of Euler related sums. Integral and closed form representation of sums with p...
We extend some results of Euler related sums. Integral and closed-form representations of sums with ...
In 2014, Slavik presented a recursive method to find closed forms for two kinds of sums involving sq...
We use integral identities to establish a relationship with sums that include polygamma functions, ...
We establish integral identities for series involving binomial coefficients. Using the identities, i...
We establish integral identities for series involving binomial coefficients. Using the identities, i...
Some identities of sums associated with harmonic numbers and binomial coefficients are developed. In...
This paper deals with the classical quest for 'closed\ud form' expressions of series. Identities are...
This paper deals with the classical quest for closed form expressionsof binomial sums and series. W...
We develop a master theorem from which we are able to represent\ud infinite sums of harmonic numbers...
We develop a master theorem from which we are able to represent infinite sums of harmonic numbers a...
We consider sums involving the product binomial coefficient and\ud polynomial terms and develop some...
We establish integral identities for sums involving binomial coefficients and Harmonic numbers. Usi...
We consider some finite binomial sums involving the derivatives of the binomial coefficient and dev...
We use integral identities to establish some closed forms of finite\ud binomial sums. In particular ...
We extend some results of Euler related sums. Integral and closed form representation of sums with p...
We extend some results of Euler related sums. Integral and closed-form representations of sums with ...
In 2014, Slavik presented a recursive method to find closed forms for two kinds of sums involving sq...
We use integral identities to establish a relationship with sums that include polygamma functions, ...
We establish integral identities for series involving binomial coefficients. Using the identities, i...
We establish integral identities for series involving binomial coefficients. Using the identities, i...
Some identities of sums associated with harmonic numbers and binomial coefficients are developed. In...