47 citations · 109 across the 54 of their papers we have counts for
55 papers
Generalizations of the Christoffel-Darboux formula and congruences involving Apéry-like numbers
Zhi-Hong Sun
In this paper, we first extend the Christoffel-Darboux formula for orthogonal polynomials to general three-term recurrence sequences, and then investigate the identities and congru…
Curious identities involving Legendre polynomials and Apéry-like numbers
Li-Li Cui, Zhi-Hong Sun
In this paper, we establish some curious identities involving Legendre polynomials and the first kind of Apéry-like numbers. As applications, many new supercongruences are deduced.
Congruences concerning binomial coefficients and binary quadratic forms
Zhi-Hong Sun
Let be a prime. In this paper, we obtain the congruences for $$\sum_{k=0}^{p-1}\frac{w(k)\binom{2k}k^3}{(-8)^k},\ \sum_{k=0}^{p-1}\frac{w(k)\binom{2k}k^2\binom{3k}k}{(-192)^k…
On the properties of invariant functions
Zhi-Hong Sun
If is a real function satisfying and for , we say that is an invariant function. Many special functions…
Supercongruences for sums involving
Zhi-Hong Sun
Let be an odd prime, and let be a rational -adic integer with . In this paper, using WZ method we establish the congruences for $\sum_{k=0}^{p-1} \…
Congruences for sums involving products of three binomial coefficients
Zhi-Hong Sun
Let be a prime, and let be a rational -adic integer, using WZ method we establish the congruences modulo for $$\sum_{k=0}^{p-1} \binom ak\binom{-1-a}k\binom{2k}k…