Add to ORKGWe extend some results of Euler related sums. Integral and closed form representation of sums with products of harmonic numbers and cubed binomial coefficients are developed in terms of Polygamma functions. The given representations are new
H.Exton has recorded two 3ψ3 basic bilateral hypergeometric series summation formula without proof o...
Abstract: In this paper, We study the several modular equations of Ramanujan Quantities R(1, 2, 4; q...
On a class of differentiable functions W r and the class of functions conjugate to them, we obtain ...
The present paper deals with certain recurrence relations, integral representations, characterizatio...
On Page 259 of his second notebook [3], Ramanujan recorded many cubic modular equations of degree 2....
AbstractLet [x] be the integral part of x. Let p>5 be a prime. In the paper we mainly determine ∑x=1...
On Page 259 of his second notebook [3], Ramanujan recorded many cubic modular equations of degree 2....
Let $\delta (t)$ denote the Dirac delta function. We show how, when the renormalization constant $c...
AbstractPaule and Schneider (2003) [3], and Chu (Chu and Donno) (2005) [1] gave a family of wonderfu...
In this paper, we treat a q-Laplace transformation in f(x) = Σ((a_n / (n!)_q) * x^n)[0..∞]. In the f...
AbstractThe main purpose of this paper is using the estimate for character sums and the analytic met...
AbstractWe prove that for any nonnegative integers n and r the binomial sum∑k=−nn(2nn−k)k2r is divis...
AbstractA singular integral equation with a Holderian second member function on [a,b] is considered ...
AbstractA relationship between partial derivatives of the associated Legendre function of the first ...
AbstractThe objective of the present paper is to give some characterizations for a (Gaussian) hyperg...
H.Exton has recorded two 3ψ3 basic bilateral hypergeometric series summation formula without proof o...
Abstract: In this paper, We study the several modular equations of Ramanujan Quantities R(1, 2, 4; q...
On a class of differentiable functions W r and the class of functions conjugate to them, we obtain ...
The present paper deals with certain recurrence relations, integral representations, characterizatio...
On Page 259 of his second notebook [3], Ramanujan recorded many cubic modular equations of degree 2....
AbstractLet [x] be the integral part of x. Let p>5 be a prime. In the paper we mainly determine ∑x=1...
On Page 259 of his second notebook [3], Ramanujan recorded many cubic modular equations of degree 2....
Let $\delta (t)$ denote the Dirac delta function. We show how, when the renormalization constant $c...
AbstractPaule and Schneider (2003) [3], and Chu (Chu and Donno) (2005) [1] gave a family of wonderfu...
In this paper, we treat a q-Laplace transformation in f(x) = Σ((a_n / (n!)_q) * x^n)[0..∞]. In the f...
AbstractThe main purpose of this paper is using the estimate for character sums and the analytic met...
AbstractWe prove that for any nonnegative integers n and r the binomial sum∑k=−nn(2nn−k)k2r is divis...
AbstractA singular integral equation with a Holderian second member function on [a,b] is considered ...
AbstractA relationship between partial derivatives of the associated Legendre function of the first ...
AbstractThe objective of the present paper is to give some characterizations for a (Gaussian) hyperg...
H.Exton has recorded two 3ψ3 basic bilateral hypergeometric series summation formula without proof o...
Abstract: In this paper, We study the several modular equations of Ramanujan Quantities R(1, 2, 4; q...
On a class of differentiable functions W r and the class of functions conjugate to them, we obtain ...