We relate a one-parametric generating function for the squares of Legendre polynomials to an arithmetic hypergeometric series whose parametrisation by a level 7 modular function was recently given by Cooper. By using this modular parametrisation we resolve a subfamily of identities involving 1/ π which was experimentally observed by Sun
In this paper, the author presents a new method for finding identities for hypergeoemtric series, su...
Plot the Legendre polynomials, which appear in many mathematical problems, notably those involving s...
We study Macdonald polynomials from a basic hypergeometric series point of view. In particular, we s...
We relate a one-parametric generating function for the squares of Legendre polynomials to an arithme...
We resolve a family of recently observed identities involving 1/π using the theory of modular forms ...
AbstractIn 1951, Brafman derived several “unusual” generating functions of classical orthogonal poly...
In this paper, we extension of hypergeometric series to obtain a new α-hypergeometric series, we est...
Around 1828, T. Clausen discovered that the square of certain hypergeometric ₂F₁ function can be exp...
[[abstract]]The authors investigate several families of double-series identities as well as their (k...
We give new proofs and explain the origin of several combinatorial identities of Fu and Lascoux, Dil...
AbstractThe Legendre–Stirling numbers are the coefficients in the integral Lagrangian symmetric powe...
AbstractAround 1828, T. Clausen discovered that the square of certain hypergeometric F12 function ca...
We give new proofs and explain the origin of several combinatorial identities of Fu and Lascoux, Dil...
AbstractA one-parameter rational function generalisation Rλ(X;b) of the symmetric Macdonald polynomi...
It is well known that generating functions play an important role in theory of the classical orthogo...
In this paper, the author presents a new method for finding identities for hypergeoemtric series, su...
Plot the Legendre polynomials, which appear in many mathematical problems, notably those involving s...
We study Macdonald polynomials from a basic hypergeometric series point of view. In particular, we s...
We relate a one-parametric generating function for the squares of Legendre polynomials to an arithme...
We resolve a family of recently observed identities involving 1/π using the theory of modular forms ...
AbstractIn 1951, Brafman derived several “unusual” generating functions of classical orthogonal poly...
In this paper, we extension of hypergeometric series to obtain a new α-hypergeometric series, we est...
Around 1828, T. Clausen discovered that the square of certain hypergeometric ₂F₁ function can be exp...
[[abstract]]The authors investigate several families of double-series identities as well as their (k...
We give new proofs and explain the origin of several combinatorial identities of Fu and Lascoux, Dil...
AbstractThe Legendre–Stirling numbers are the coefficients in the integral Lagrangian symmetric powe...
AbstractAround 1828, T. Clausen discovered that the square of certain hypergeometric F12 function ca...
We give new proofs and explain the origin of several combinatorial identities of Fu and Lascoux, Dil...
AbstractA one-parameter rational function generalisation Rλ(X;b) of the symmetric Macdonald polynomi...
It is well known that generating functions play an important role in theory of the classical orthogo...
In this paper, the author presents a new method for finding identities for hypergeoemtric series, su...
Plot the Legendre polynomials, which appear in many mathematical problems, notably those involving s...
We study Macdonald polynomials from a basic hypergeometric series point of view. In particular, we s...
DOI
Add to ORKG