Add to ORKGIn this paper, we introduce 3-dimensional L−summing method. Applying this method on some special arrays, we obtain some\ud identities on the Riemann zeta function and digamma function. Also, we give a Maple program for this\ud method to obtain identities with input various arrays and out put identities concerning some elementary\ud functions and hypergeometric functions. Finally, we introduce a further generalization of L−summing\ud method in higher dimension spaces
We establish a new identity for generalized hypergeometric functions and apply it for first- and sec...
AbstractWe find new summatory and other properties of the constants ηj entering the Laurent expansio...
AbstractAn identity by Chaundy and Bullard writes 1/(1 − x)n (n = l, 2,...) as a sum of two truncate...
In this short note, we apply L-Summing Method on some 3-dimensional\ud multiplication tables to yiel...
We introduce a nice elementary method for summing, that we call it L-Summing Method. Applying this ...
Abstract It is well known that the Riemann zeta-function ζ ( s ) $\zeta(s)$ plays a very important r...
AbstractZeilberger's algorithm which finds holonomic recurrence equations for definite sums of hyper...
We consider a class of sums over products of Z-sums whose arguments differ by a symbolic integer. Su...
This thesis in analytic number theory consists of 3 parts and 13 individual papers. In the first par...
AbstractUsing a simple method, numerous summation formulas for hypergeometric and basic hypergeometr...
We consider a class of sums over products of Z-sums whose arguments differ by a symbolic integer. Su...
AbstractThe sum formula is a basic identity of multiple zeta values that expresses a Riemann zeta va...
In this thesis, we discuss methods of summation of series. We first concentrate on the Riemann zeta ...
The sum formula is a basic identity of multiple zeta values that expresses a Riemann zeta value as a...
Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are develop...
We establish a new identity for generalized hypergeometric functions and apply it for first- and sec...
AbstractWe find new summatory and other properties of the constants ηj entering the Laurent expansio...
AbstractAn identity by Chaundy and Bullard writes 1/(1 − x)n (n = l, 2,...) as a sum of two truncate...
In this short note, we apply L-Summing Method on some 3-dimensional\ud multiplication tables to yiel...
We introduce a nice elementary method for summing, that we call it L-Summing Method. Applying this ...
Abstract It is well known that the Riemann zeta-function ζ ( s ) $\zeta(s)$ plays a very important r...
AbstractZeilberger's algorithm which finds holonomic recurrence equations for definite sums of hyper...
We consider a class of sums over products of Z-sums whose arguments differ by a symbolic integer. Su...
This thesis in analytic number theory consists of 3 parts and 13 individual papers. In the first par...
AbstractUsing a simple method, numerous summation formulas for hypergeometric and basic hypergeometr...
We consider a class of sums over products of Z-sums whose arguments differ by a symbolic integer. Su...
AbstractThe sum formula is a basic identity of multiple zeta values that expresses a Riemann zeta va...
In this thesis, we discuss methods of summation of series. We first concentrate on the Riemann zeta ...
The sum formula is a basic identity of multiple zeta values that expresses a Riemann zeta value as a...
Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are develop...
We establish a new identity for generalized hypergeometric functions and apply it for first- and sec...
AbstractWe find new summatory and other properties of the constants ηj entering the Laurent expansio...
AbstractAn identity by Chaundy and Bullard writes 1/(1 − x)n (n = l, 2,...) as a sum of two truncate...