18 citations · 46 across the 10 of their papers we have counts for
10 papers
Generalized q-difference equations for general q-polynomials with double q-binomial coefficients
Jian Cao, Sama Arjika, Mahouton Norbert Hounkonnou
In this paper, we use the generalized q-polynomials with double q-binomial coefficients and homogeneous q-operators [J. Difference Equ. Appl. 20 (2014), 837--851.] to construct q-d…
A note on fractional Askey--Wilson integrals
Jian Cao, Sama Arjika
In this paper, we generalize fractional -integrals by the method of -difference equation. In addition, we deduce fractional Askey--Wilson integral, reversal type fractional A…
A note on generalized -difference equations for general Al-Salam--Carlitz polynomials
Jian Cao, Binbin Xu, Sama Arjika
In this paper, we deduce the generalized -difference equations for general Al-Salam--Carlitz polynomials and generalize Arjika's recently results [-difference equation for ho…
A Note on Generalized -Difference Equations and Their Applications Involving -Hypergeometric Functions
Hari Mohan Srivastava, Jian Cao, Sama Arjika
In this paper, we use two -operators and to derive two potentially useful generalizations of the -binomial theorem,…
An analytic generalization of the Catalan numbers and its integral representation
Wen-Hui Li, Jian Cao, Da-Wei Niu +2
In the paper, the authors analytically generalize the Catalan numbers in combinatorial number theory, establish an integral representation of the analytic generalization of the Cat…
Perturbation analysis of bounded homogeneous generalized inverses on Banach spaces
Jianbing Cao, Yifeng Xue
Let be Banach spaces and be a bounded linear operator. In this paper, we initiate the study of the perturbation problems for bounded homogeneous generalized in…