-species and the -Mehler formula.
A bound for certain bibasic sums and applications.
A characterization of the Rogers -Hermite polynomials.
A combinatorial proof of a symmetric -Pfaff-Saalschütz identity.
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 de Casteljau algorithm for -Bernstein-Stancu polynomials.
A family of tridiagonal pairs related to the quantum affine algebra .
A first order -difference system for the -type Jackson integral and its applications.
A generalization of Gosper's algorithm to bibasic hypergeometric summation.
A new approach to the Dyson coefficients.
A new generating function of (-) Bernstein-type polynomials and their interpolation function.
A normalization formula for the Jack polynomials in superspace and an identity on partitions.
A note on an identity of Andrews.
A note on -partial difference equations and some applications to generating functions and -integrals
We study the condition on expanding an analytic several variables function in terms of products of the homogeneous generalized Al-Salam-Carlitz polynomials. As applications, we deduce bilinear generating functions for the homogeneous generalized Al-Salam-Carlitz polynomials. We also gain multilinear generating functions for the homogeneous generalized Al-Salam-Carlitz polynomials. Moreover, we obtain generalizations of Andrews-Askey integrals and Ramanujan -beta integrals. At last, we derive ...
A note on the modified -Bernstein polynomials.
A note on the multiple twisted Carlitz's type -Bernoulli polynomials.
A note on the -Euler measures.
A note on the -Genocchi numbers and polynomials.
A note on the Rogers-Fine identity.