The Lagrange expansion formula is employed to determine the Maclaurin series for the logarithms of Lambert series of binomial coefficients, extending the log–squared of the Catalan generating function due to Knut
A new explicit closed-form formula for the multivariate (n, k)th partial Bell polynomial B(n,k) (x(1...
Derivative-matching approximations are constructed as power series built from functions. The method ...
We give an exact coefficients formula of any infinite product of power series with constant term equ...
The Lagrange expansion formula is employed to determine the Maclaurin series for the logarithms of L...
Rodriguez Villegas expressed the Mahler measure of a polynomial in terms of an infinite series. Luck...
Five binomial sums are extended by a free parameter $m$, that are shown, through the generating func...
AbstractDixon’s classical summation theorem on F23(1)-series is reformulated as an equation of forma...
We define a special function related to the digamma function and use it to evaluate in closed form v...
In the paper, by virtue of expansions of two finite products of finitely many square sums, with the ...
By employing the coefficient extraction method from hypergeometric series, we shall establish numero...
AbstractUsing the exponential generating function and the Bell polynomials, we obtain several new id...
Using combinatorial techniques, we derive a recurrence identity that expresses an exponential power ...
A class of the multifold convolutions of binomial coefficients will be evaluated by employing a pair...
AbstractIn this paper, the q-Pfaff-Saalschütz formula and the q-Sheppard ϕ23 transformation formula ...
AbstractBy combining inverse series relations with binomial convolutions and telescoping method, mom...
A new explicit closed-form formula for the multivariate (n, k)th partial Bell polynomial B(n,k) (x(1...
Derivative-matching approximations are constructed as power series built from functions. The method ...
We give an exact coefficients formula of any infinite product of power series with constant term equ...
The Lagrange expansion formula is employed to determine the Maclaurin series for the logarithms of L...
Rodriguez Villegas expressed the Mahler measure of a polynomial in terms of an infinite series. Luck...
Five binomial sums are extended by a free parameter $m$, that are shown, through the generating func...
AbstractDixon’s classical summation theorem on F23(1)-series is reformulated as an equation of forma...
We define a special function related to the digamma function and use it to evaluate in closed form v...
In the paper, by virtue of expansions of two finite products of finitely many square sums, with the ...
By employing the coefficient extraction method from hypergeometric series, we shall establish numero...
AbstractUsing the exponential generating function and the Bell polynomials, we obtain several new id...
Using combinatorial techniques, we derive a recurrence identity that expresses an exponential power ...
A class of the multifold convolutions of binomial coefficients will be evaluated by employing a pair...
AbstractIn this paper, the q-Pfaff-Saalschütz formula and the q-Sheppard ϕ23 transformation formula ...
AbstractBy combining inverse series relations with binomial convolutions and telescoping method, mom...
A new explicit closed-form formula for the multivariate (n, k)th partial Bell polynomial B(n,k) (x(1...
Derivative-matching approximations are constructed as power series built from functions. The method ...
We give an exact coefficients formula of any infinite product of power series with constant term equ...