1 citations · 2 across the 14 of their papers we have counts for
14 papers
Bilinear generating functions of the multivariable Al-Salam-Carlitz polynomials and applications
Qi Chen, Xinrong Ma, Jin Wang
In this paper, by the method of comparing coefficients, we establish a new generating function of multivariable Al-Salam-Carlitz polynomials which contains both Rogers' and Bowman'…
Some q-Identities derived by the ordinary derivative operator
Jin Wang, Ruiqi Ruan, Xinrong Ma
In this paper, we investigate applications of the ordinary derivative operator, instead of the -derivative operator, to the theory of -series. As main results, many new summa…
General -series transformations based on Abel's lemma on summation by parts and their applications
Jianan Xu, Xinrong Ma
In this paper, we establish three new and general transformations with sixteen parameters and bases via Abel's lemma on summation by parts. As applications, we set up a lot of new…
Dual forms of the orthogonality relations of some classical q-orthogonal polynomials
Qi Chen, Xinrong Ma, Jin Wang
In this paper, by introducing new matrix operations and using a specific inverse relation, we establish the dual forms of the orthogonality relations for some well-known discrete a…
A new recurrence relation for the truncated very-well-poised series and Bailey's summation formula
Jin Wang, Xinrong Ma
In this paper we introduce the so-called truncated very-well-poised series and set up an explicit recurrence relation for it by means of the classical Abel lemma on summati…
Some nonlinear inverse relations of Bell polynomials via the Lagrange inversion formula
Jin Wang, Xinrong Ma
In this paper, by means of the classical Lagrange inversion formula, we establish a general nonlinear inverse relations which is a partial solution to the problem proposed in the p…
Further study on elliptic interpolation formulas for the elliptic Askey-Wilson polynomials and allied identities
Jin Wang, Xinrong Ma
In this paper, we introduce the so-called elliptic Askey-Wilson polynomials which are homogeneous polynomials in two special theta functions. With regard to the significance of pol…
Two new transformation formulas for and series associated with Weierstrass' theta identity
Jin Wang, Xinrong Ma
In this paper, we establish two new transformation formulas for and series by means of Slater's general transformation for bilateral series. As applications…
Further results on Andrews--Yee's two identities for mock theta functions and
Jin Wang, Xinrong Ma
In this paper, by the method of comparing coefficients and the inverse technique, we establish the corresponding variate forms of two identities of Andrews and Yee for mock theta f…
On Andrews--Warnaar's identities of partial theta functions
Jin Wang, Xinrong Ma
In this paper we set up a bivariate representation of partial theta functions which not only unifies some famous identities for partial theta functions due to Andrews and Warnaar,…
Proof of the --inversion formula conjectured by Hsu and Ma
Jin Wang, Xinrong Ma
In light of the well-known fact that the th divided difference of any polynomial of degree must be zero while ,the present paper proves the -inversion formula co…
A Five-variable generalization of Ramanujan's reciprocity theorem
Xinrong Ma
By virtue of Bailey's well-known bilateral 6ψ_6 summation formula and Watson's transformation formula,we extend the four-variable generalization of Ramanujan's reciprocity theorem…
Expansion Formulas of Basic Hypergeometric Series via the (1-xy,y-x)--Inversion and Its Applications
Jin Wang, Xinrong Ma
With the use of the -matrix inversion under specializations that , we establish an -expansion formula. When specialized to basic hypergeometric ser…
Generalized Ismail's argument and -expansion formula
Xinrong Ma
As further development of earlier works on the -inversion, the present paper is devoted to the -difference operator and the representation problem or an expansion for…