A combinatorial proof of a symmetric -Pfaff-Saalschütz identity.
A combinatorial representation with Schröder paths of biorthogonality of Laurent biorthogonal polynomials.
A computer proof of Turán's inequality.
A concise proof for properties of three functions involving the exponential function.
A construction of analogs of the Bloch-Wigner function.
A continued fraction expansion for a -tangent function: an elementary proof.
A continued fraction of order twelve
In this paper, we establish several explicit evaluations, reciprocity theorems and integral representations for a continued fraction of order twelve which are analogues to Rogers-Ramanujan’s continued fraction and Ramanujan’s cubic continued fraction.
A Contour for the Poisson Integral.
A Contraction of S U (2) to the Heisenberg Group.
A convexity problem for a special function.
A correction to the paper "A multiplier theorem for Jacobi expansion" Studia Math. 52 (1975), pp. 234-261
A counterexample to an assertion due to Blumenthal.
A curious integral.
A de Casteljau algorithm for -Bernstein-Stancu polynomials.
A deformation of commutative polynomial algebras in even numbers of variables
We introduce and study a deformation of commutative polynomial algebras in even numbers of variables. We also discuss some connections and applications of this deformation to the generalized Laguerre orthogonal polynomials and the interchanges of right and left total symbols of differential operators of polynomial algebras. Furthermore, a more conceptual re-formulation for the image conjecture [18] is also given in terms of the deformed algebras. Consequently, the well-known Jacobian conjecture...
A determinant identity that implies Rogers-Ramanujan.
A double inequality for gamma function.
A family of tridiagonal pairs related to the quantum affine algebra .
A fast algorithm for the construction of recurrence relations for modified moments
A new approach is presented for constructing recurrence relations for the modified moments of a function with respect to the Gegenbauer polynomials.
A fast floating-point square-rooting routine for the 8080/8085 microprocessors