AbstractIn this paper, we show that for each n ≥ 1, the generalised Hermite-Laguerre Polynomials G¼ and G¾are either irreducible or linear polynomial times an irreducible polynomial of degree n−1
AbstractLet p be an odd prime number and let θ be a nontrivial even character of the Galois group of...
AbstractLet p(z)=a0+⋯+anzn and q(z)=b0+⋯ be polynomials of degree respectively n and less than n suc...
AbstractIn this paper, we consider the higher order difference equationy(k+n)+p1(k)y(k+n-1)+p2(k)y(k...
AbstractWe prove a conjecture of R. Chapman asserting that, for any prime p≡3(mod4), the determinant...
AbstractWe prove that for any nonnegative integers n and r the binomial sum∑k=−nn(2nn−k)k2r is divis...
AbstractLet Pn be the class of all polynomials of degree at most n, and let Mp(g;ρ) denote the Lp me...
AbstractLet Pk(α,β)(x) be an orthonormal Jacobi polynomial of degree k. We will establish the follow...
AbstractWe give the necessary and sufficient condition of the trace function f(A,B)=Tr(ApBq) is join...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
AbstractThe Apéry polynomials are given byAn(x)=∑k=0n(nk)2(n+kk)2xk(n=0,1,2,…). (Those An=An(1) are ...
AbstractLet a and b be positive integers and let p be an odd prime such that p=ax2+by2 for some inte...
AbstractThe Apéry polynomials are defined by An(x)=∑k=0n(nk)2(n+kk)2xk for all nonnegative integers ...
AbstractIn the paper we prove that the maximal operator of the C,α-means of cubical partial sums of ...
AbstractIn Schweiger (2003) [1], Fritz Schweiger introduced the algorithm of the generalized continu...
AbstractFor any positive integer n, let Gn denote the set of simple graphs of order n. For any graph...
AbstractLet p be an odd prime number and let θ be a nontrivial even character of the Galois group of...
AbstractLet p(z)=a0+⋯+anzn and q(z)=b0+⋯ be polynomials of degree respectively n and less than n suc...
AbstractIn this paper, we consider the higher order difference equationy(k+n)+p1(k)y(k+n-1)+p2(k)y(k...
AbstractWe prove a conjecture of R. Chapman asserting that, for any prime p≡3(mod4), the determinant...
AbstractWe prove that for any nonnegative integers n and r the binomial sum∑k=−nn(2nn−k)k2r is divis...
AbstractLet Pn be the class of all polynomials of degree at most n, and let Mp(g;ρ) denote the Lp me...
AbstractLet Pk(α,β)(x) be an orthonormal Jacobi polynomial of degree k. We will establish the follow...
AbstractWe give the necessary and sufficient condition of the trace function f(A,B)=Tr(ApBq) is join...
AbstractIt is known that∑k=0∞(2kk)(2k+1)4k=π2and∑k=0∞(2kk)(2k+1)16k=π3. In this paper we obtain thei...
AbstractThe Apéry polynomials are given byAn(x)=∑k=0n(nk)2(n+kk)2xk(n=0,1,2,…). (Those An=An(1) are ...
AbstractLet a and b be positive integers and let p be an odd prime such that p=ax2+by2 for some inte...
AbstractThe Apéry polynomials are defined by An(x)=∑k=0n(nk)2(n+kk)2xk for all nonnegative integers ...
AbstractIn the paper we prove that the maximal operator of the C,α-means of cubical partial sums of ...
AbstractIn Schweiger (2003) [1], Fritz Schweiger introduced the algorithm of the generalized continu...
AbstractFor any positive integer n, let Gn denote the set of simple graphs of order n. For any graph...
AbstractLet p be an odd prime number and let θ be a nontrivial even character of the Galois group of...
AbstractLet p(z)=a0+⋯+anzn and q(z)=b0+⋯ be polynomials of degree respectively n and less than n suc...
AbstractIn this paper, we consider the higher order difference equationy(k+n)+p1(k)y(k+n-1)+p2(k)y(k...
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